Counterpedia · Subject

Wikidata observation

commutative property

property of binary operations, for which changing the order of the operands does not change the result

Also known as (2)

commutativity · commutative operation

Observations from Wikidata; separate from governed Counterpedia records. Sources, origins and what has been checked

At a glance

Selected recorded observations. Counterpedia has not independently verified them; inspect the statements for sources and alternative or historical context.

instance of: mathematical property
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P31; Statement & references
described at URL: https://www.mathnasium.com/blog/commutative-property-guide
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P973; Statement & references

How these facts are selected

Up to eight distinct properties with readable names and values. One from each available category comes first, then remaining slots follow property category, property code and source order. This keeps names and family details from crowding out work, dates and geography. Media, external identifiers, unnamed targets and statements with incomplete qualifying context stay in the detailed list. The same rule applies to every subject. Context recorded by Wikidata appears beside each selected fact.

Relationships

Outgoing connections are statements about this subject. A connection is not evidence that another subject supports a claim.

instance of (P31): mathematical property
Relationship name unavailable: WikiProject Mathematics
described by source (P1343): Great Soviet Encyclopedia (1926–1947)Recorded context: Relationship name unavailable: named value unavailable in this releaseThis statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
described by source (P1343): Armenian Soviet Encyclopedia, vol. 11Recorded context: Relationship name unavailable: 647This statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
Relationship name unavailable: multiplication
Relationship name unavailable: Wikipedia:Vital articles/Level/4Recorded context: point in time: 31 October 2022
Relationship name unavailable: addition
described by source (P1343): Khan AcademyRecorded context: Relationship name unavailable: https://www.khanacademy.org/math/arithmetic-home/multiply-divide/properties-of-multiplication/a/commutative-property-reviewThis statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
Relationship name unavailable: binary operatorRecorded context: Relationship name unavailable: \starThis statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.

All projected connections & provider records

You are here

commutative property

Other entries this record states a relationship to. Follow one to keep moving through the universe.

Identity & relations

mathematical property— instance of (P31)stated relationship

Other connections

WikiProject Mathematics— P6104stated relationship
Great Soviet Encyclopedia (1926–1947)— described by source (P1343)stated relationship
Armenian Soviet Encyclopedia, vol. 11— described by source (P1343)stated relationship
multiplication— P1535stated relationship
Wikipedia:Vital articles/Level/4— P5008stated relationship
addition— P1535stated relationship
Khan Academy— described by source (P1343)stated relationship
binary operator— P4934stated relationship

The original records this observation was assembled from, off Counterpedia.

Wikidata: Q165474 ↗

Keep exploring the surrounding neighborhood.

Explore the commutative property neighborhood

Assembled from entry read model wikimedia_observation:Q165474, public release sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7. This view is served from published release bytes.

Explore incoming and outgoing relationships →

External identifiers (20)

Identifier lookup links, separate from statement references.

P5844: commutativita
P2924: 2086080
P646: /m/01r0bt
P1296: 0267691
P11514: kommutativnost-f66633
P3365: commutativita
P5106: commutative
P12987: alg.binary_operation.commutative
P2812: Commute
P8417: Commutative_binary_operation
P1296: 0170047
P2812: Commutative
P4746: 133583
P10283: C183778304
P7554: Commutativity
P1296: 0267698
P12385: propietat-commutativa
P7033: scot/12414
P6366: 183778304
P3827: commutativity

Sources and origins

Structured observations: Statements in this view were observed in Wikidata. Their source identifiers and carried history remain available for inspection.
Cited references: Works, URLs and identifiers attached to particular statements. A cited locator is not an independently established support finding. Inspect statement references
Retained evidence: This view carries observation data. It does not supply independently captured copies of the cited documents or establish their custody. Discovering a reference does not register a governed Source Record.
Checks: No completed Check is associated with these statements in this view. Check execution is currently unavailable.

These observations are not governed Counterpedia claims. The origin of an observation can differ from the author or publisher of its cited source.

Validation state

1. In Wikidata
No source identifiers recorded.
2. Lookup route
No source identifiers recorded.
3. Lookup result
No lookup recorded for this page.
4. Saved copy
No saved copy for this page.
5. Fixed version
No fixed source version for this page.
6. Check result
Not checked.

These stages describe what this page can show from governed subject-scoped records. A lookup route does not mean a source was found; a lookup result does not mean bytes were saved; and a saved copy does not mean a fixed source version or a Check result exists.

Research frontier

Ready to investigate

None of the recorded identifier routes is marked routable.

Still unresolved

20 identifier routes and 0 reference hints remain research inputs rather than governed evidence.

Authority boundary

What this page establishes

It establishes what the retained Wikimedia observation contains and what investigation paths Counterpedia can describe from that material.

What it does not establish

A Wikidata statement is not automatically Counterpedia evidence.
A routable identifier is not a captured source.
A captured representation is not automatically a fixed source version.
A fixed source version is not automatically a Check result.
Graph proximity and reference counts are not support or corroboration.
A provider observation and candidate locator do not establish source bytes or support.

Presentation contract

Stage template: counterpedia.reader.profile.v1
Counterpedia composition: counterpedia.product.subject.profile.v1

Statements & recorded references

Open a statement to see the references attached to it. Context can limit when, where or how a statement applies. Recorded source URLs, identifier resolvers and source works describe where Wikidata points; none establishes source support or a completed Check.

Check execution is unavailable in this preview. Exact recorded locators remain available to inspect and open.

instance of: mathematical propertyReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P31
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P31",
  "targetRef": "Q3924032",
  "targetLabel": "mathematical property"
}
```
Relationship name unavailable: WikiProject MathematicsReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
The readable name for this property is unavailable here. Its code and exact recorded value are preserved; the code alone does not explain the relationship.
Wikidata property P6104
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P6104",
  "targetRef": "Q8487137",
  "targetLabel": "WikiProject Mathematics"
}
```
described at URL: https://www.mathnasium.com/blog/commutative-property-guideReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P973
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P973",
  "literalValue": "https://www.mathnasium.com/blog/commutative-property-guide"
}
```
described at URL: https://www.splashlearn.com/math-vocabulary/addition/commutative-propertyReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P973
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P973",
  "literalValue": "https://www.splashlearn.com/math-vocabulary/addition/commutative-property"
}
```
described by source: Great Soviet Encyclopedia (1926–1947)Reference count not carriedRecorded context: Relationship name unavailable: named value unavailable in this releaseThis statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
A source recorded as describing this subject. This does not mean the source was inspected here or supports another statement.
Wikidata property P1343
No exact source locator is carried for this statement in this view.
Qualifiers
Relationship name unavailable: named value unavailable in this release
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P1343",
  "targetRef": "Q20078554",
  "targetLabel": "Great Soviet Encyclopedia (1926–1947)",
  "qualifiers": {
    "observedSnakCount": 1,
    "retainedSnaks": [
      {
        "propertyPid": "P805",
        "datatype": "wikibase-item",
        "datavalue": {
          "type": "wikibase-entityid",
          "value": {
            "entity-type": "item",
            "id": "Q135416626",
            "numeric-id": 135416626
          }
        },
        "snaktype": "value"
      }
    ],
    "truncated": false
  }
}
```
described at URL: https://thirdspacelearning.com/us/math-resources/topic-guides/number-and-quantity/commutative-property/Reference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P973
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P973",
  "literalValue": "https://thirdspacelearning.com/us/math-resources/topic-guides/number-and-quantity/commutative-property/"
}
```
described by source: Armenian Soviet Encyclopedia, vol. 11Reference count not carriedRecorded context: Relationship name unavailable: 647This statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
A source recorded as describing this subject. This does not mean the source was inspected here or supports another statement.
Wikidata property P1343
No exact source locator is carried for this statement in this view.
Qualifiers
Relationship name unavailable: 647
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P1343",
  "targetRef": "Q124355862",
  "targetLabel": "Armenian Soviet Encyclopedia, vol. 11",
  "qualifiers": {
    "observedSnakCount": 1,
    "retainedSnaks": [
      {
        "propertyPid": "P304",
        "datatype": "string",
        "datavalue": {
          "type": "string",
          "value": "647"
        },
        "snaktype": "value"
      }
    ],
    "truncated": false
  }
}
```
Relationship name unavailable: \forall x,y\colon x\star y=y\star xReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
The readable name for this property is unavailable here. Its code and exact recorded value are preserved; the code alone does not explain the relationship.
Wikidata property P2534
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P2534",
  "literalValue": "\\forall x,y\\colon x\\star y=y\\star x"
}
```
described at URL: https://www.math.net/commutative-propertyReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P973
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P973",
  "literalValue": "https://www.math.net/commutative-property"
}
```
described at URL: https://www.geeksforgeeks.org/maths/commutative-property/Reference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P973
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P973",
  "literalValue": "https://www.geeksforgeeks.org/maths/commutative-property/"
}
```
Relationship name unavailable: multiplicationReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
The readable name for this property is unavailable here. Its code and exact recorded value are preserved; the code alone does not explain the relationship.
Wikidata property P1535
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P1535",
  "targetRef": "Q40276",
  "targetLabel": "multiplication"
}
```
image: Commutativity of binary operations (without question mark).svgReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P18
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P18",
  "literalValue": "Commutativity of binary operations (without question mark).svg"
}
```

Relationship name unavailable: Wikipedia:Vital articles/Level/4Reference count not carriedRecorded context: point in time: 31 October 2022

Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.

About this property

The readable name for this property is unavailable here. Its code and exact recorded value are preserved; the code alone does not explain the relationship.

Wikidata property P5008

No exact source locator is carried for this statement in this view.

Qualifiers

point in time: 31 October 2022

Statement identity, reference hashes and carried detail

{
  "predicate": "P5008",
  "targetRef": "Q6173448",
  "targetLabel": "Wikipedia:Vital articles/Level/4",
  "qualifiers": {
    "observedSnakCount": 1,
    "retainedSnaks": [
      {
        "propertyPid": "P585",
        "datatype": "time",
        "datavalue": {
          "type": "time",
          "value": {
            "after": 0,
            "before": 0,
            "calendarmodel": "http://www.wikidata.org/entity/Q1985727",
            "precision": 11,
            "time": "+2022-10-31T00:00:00Z",
            "timezone": 0
          }
        },
        "snaktype": "value"
      }
    ],
    "truncated": false
  }
}

Relationship name unavailable: additionReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
The readable name for this property is unavailable here. Its code and exact recorded value are preserved; the code alone does not explain the relationship.
Wikidata property P1535
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P1535",
  "targetRef": "Q32043",
  "targetLabel": "addition"
}
```
described by source: Khan AcademyReference count not carriedRecorded context: Relationship name unavailable: https://www.khanacademy.org/math/arithmetic-home/multiply-divide/properties-of-multiplication/a/commutative-property-reviewThis statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
A source recorded as describing this subject. This does not mean the source was inspected here or supports another statement.
Wikidata property P1343
No exact source locator is carried for this statement in this view.
Qualifiers
Relationship name unavailable: https://www.khanacademy.org/math/arithmetic-home/multiply-divide/properties-of-multiplication/a/commutative-property-review
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P1343",
  "targetRef": "Q94887",
  "targetLabel": "Khan Academy",
  "qualifiers": {
    "observedSnakCount": 1,
    "retainedSnaks": [
      {
        "propertyPid": "P2699",
        "datatype": "url",
        "datavalue": {
          "type": "string",
          "value": "https://www.khanacademy.org/math/arithmetic-home/multiply-divide/properties-of-multiplication/a/commutative-property-review"
        },
        "snaktype": "value"
      }
    ],
    "truncated": false
  }
}
```
Relationship name unavailable: binary operatorReference count not carriedRecorded context: Relationship name unavailable: \starThis statement has context that cannot be fully shown here. An unresolved name or missing qualification can change how it should be understood.
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
The readable name for this property is unavailable here. Its code and exact recorded value are preserved; the code alone does not explain the relationship.
Wikidata property P4934
No exact source locator is carried for this statement in this view.
Qualifiers
Relationship name unavailable: \star
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P4934",
  "targetRef": "Q30242895",
  "targetLabel": "binary operator",
  "qualifiers": {
    "observedSnakCount": 1,
    "retainedSnaks": [
      {
        "propertyPid": "P7235",
        "datatype": "math",
        "datavalue": {
          "type": "string",
          "value": "\\star"
        },
        "snaktype": "value"
      }
    ],
    "truncated": false
  }
}
```
described at URL: https://www.cuemath.com/numbers/commutative-property/Reference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P973
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P973",
  "literalValue": "https://www.cuemath.com/numbers/commutative-property/"
}
```
Commons category: CommutativityReference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P373
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P373",
  "literalValue": "Commutativity"
}
```
described at URL: https://sciencenotes.org/commutative-property-in-math-definition-and-examples/Reference count not carried
Observation origin: Wikidata. References below are citations attached to this statement, not independently captured evidence.
About this property
This names the relationship or attribute recorded by Wikidata. Any context shown beside it qualifies this particular statement.
Wikidata property P973
No exact source locator is carried for this statement in this view.
Statement identity, reference hashes and carried detail
```
{
  "predicate": "P973",
  "literalValue": "https://sciencenotes.org/commutative-property-in-math-definition-and-examples/"
}
```

Continue exploring

Inspect all recorded statements in pages →

Explore the relationship map Search for this name Browse other subjects Browse Mathematical property

Data and provenance

Wikidata entity IDs are external identifiers, not Counterpedia canonical subject identities. Rendering this page does not mint a governed identity. Release identities and artifact hashes identify the data used for this view; none establishes verification.

Provenance rows: 43
Acquisition repository: thelaplage/counterpedia-acquisition
Acquisition revision: e6add6a4d8e1668a9ac486407e52974724563ce1, 891f24c5cca64aa69b1dc1b2150e991b940171b0
Provider identity · Observation origin: Wikidata · External entity ID: Q165474 on Wikidata ↗
Served release: sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7

No exact claim–source–Check association has been supplied to this page. Recorded references do not establish verification.

graph_membership != truth
graph_edge != support
repeated_identifier != independent_corroboration
projection != admission
Serving a published subset: joined entities + 1-hop neighborhood of 35,994 exact Wikipedia–Wikidata title matches.

Carried provenance rows

[
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_aliases",
      "input_row_digest": "sha256:2d3952796834b9985e7d9d0e94f9473834efa9a51446771d43606b59e2cc384d",
      "output_file": "aliases.ndjson",
      "row_index": 13563,
      "snapshot_id": "wikidata-widen0-848k-aliases@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_aliases",
      "input_row_digest": "sha256:60b2a7b4ff473887aed6a9c411656d40cc2131b26ee62cb5ecb6a2a0f83b6645",
      "output_file": "aliases.ndjson",
      "row_index": 13562,
      "snapshot_id": "wikidata-widen0-848k-aliases@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_external_ids",
      "input_row_digest": "sha256:c3e37ddf4c4f779f3d9f726aa1dc6b9e693e1898dbdf428612c5755da7004d25",
      "output_file": "identifiers.ndjson",
      "row_index": 290634,
      "snapshot_id": "wikidata-widen0-848k-identifiers@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_external_ids",
      "input_row_digest": "sha256:81ff02c1ab73224eebe0df13ba2678018e96fc38228757c692aaf912020f969a",
      "output_file": "identifiers.ndjson",
      "row_index": 290629,
      "snapshot_id": "wikidata-widen0-848k-identifiers@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_external_ids",
      "input_row_digest": "sha256:5116029abb74c884d4a42c535eb426602078e5b8afec3c145ac6068328c331d4",
      "output_file": "identifiers.ndjson",
      "row_index": 290636,
      "snapshot_id": "wikidata-widen0-848k-identifiers@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_external_ids",
      "input_row_digest": "sha256:86eba694e029afec663d9316e576038a9986d61b07f732d318cc17278b6a8ee6",
      "output_file": "identifiers.ndjson",
      "row_index": 290624,
      "snapshot_id": "wikidata-widen0-848k-identifiers@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_external_ids",
      "input_row_digest": "sha256:ccc2e39a10e2c75505d6ab542cc0a5bb9ba10afe855b57cc8a966d20306d25ce",
      "output_file": "identifiers.ndjson",
      "row_index": 290621,
      "snapshot_id": "wikidata-widen0-848k-identifiers@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_external_ids",
      "input_row_digest": "sha256:df0acedf18d68e5eaa459bc3d55c367c6a1a8a785e356a83e626f16bbf1f69d9",
      "output_file": "identifiers.ndjson",
      "row_index": 290630,
      "snapshot_id": "wikidata-widen0-848k-identifiers@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_external_ids",
      "input_row_digest": "sha256:a9da6a865194d572181de9da47eccef057a336238bdde510534c35f82b98227b",
      "output_file": "identifiers.ndjson",
      "row_index": 290633,
      "snapshot_id": "wikidata-widen0-848k-identifiers@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_external_ids",
      "input_row_digest": "sha256:b060310b0faad4bded3a7ca6d0f4489eef527e4f192a5da0bef1c3adc9b06eb8",
      "output_file": "identifiers.ndjson",
      "row_index": 290626,
      "snapshot_id": "wikidata-widen0-848k-identifiers@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_external_ids",
      "input_row_digest": "sha256:dfb4373dce86ef9fe4915b9dd69d71bf3a8f76548ef3c35f2e5c9c85352d8d94",
      "output_file": "identifiers.ndjson",
      "row_index": 290628,
      "snapshot_id": "wikidata-widen0-848k-identifiers@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_external_ids",
      "input_row_digest": "sha256:71beb9013ba5e0fc793f7f9c8f70b92d9fabb0b2c1d35da5ba59ef4ca3985ac5",
      "output_file": "identifiers.ndjson",
      "row_index": 290639,
      "snapshot_id": "wikidata-widen0-848k-identifiers@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_external_ids",
      "input_row_digest": "sha256:f1257a3a92b85c76be6b377a04bbc8aa9a6e7d0e0aa298ccfaae6b37195f3b39",
      "output_file": "identifiers.ndjson",
      "row_index": 290623,
      "snapshot_id": "wikidata-widen0-848k-identifiers@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_external_ids",
      "input_row_digest": "sha256:66361ddff471b4e4fe20377e1743d57c433110e3c6897fc6731a208c2d72586b",
      "output_file": "identifiers.ndjson",
      "row_index": 290627,
      "snapshot_id": "wikidata-widen0-848k-identifiers@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_external_ids",
      "input_row_digest": "sha256:32ac7774bd96b788aad8037b6891f1a7ce05337a54383036cde300b99c905cef",
      "output_file": "identifiers.ndjson",
      "row_index": 290632,
      "snapshot_id": "wikidata-widen0-848k-identifiers@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_external_ids",
      "input_row_digest": "sha256:ac8d5d4c6d82f531a6ac61cc90ecedd111d66151a3274a61924eb524e5b149d7",
      "output_file": "identifiers.ndjson",
      "row_index": 290620,
      "snapshot_id": "wikidata-widen0-848k-identifiers@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_external_ids",
      "input_row_digest": "sha256:458ea0575fe1bf985ee7f9ee92537d3398c10d6ee8da3ac1332d39e933008bcf",
      "output_file": "identifiers.ndjson",
      "row_index": 290638,
      "snapshot_id": "wikidata-widen0-848k-identifiers@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_external_ids",
      "input_row_digest": "sha256:059e3f8574ffdcacc9685d046dbac5c375cd5f6e2b3fdfe3782a4fc716a08310",
      "output_file": "identifiers.ndjson",
      "row_index": 290625,
      "snapshot_id": "wikidata-widen0-848k-identifiers@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_external_ids",
      "input_row_digest": "sha256:5cd6e4430a6cf25eaebb19c6711dfa92a931c18a678277dd75bfd50f48fd3e0e",
      "output_file": "identifiers.ndjson",
      "row_index": 290622,
      "snapshot_id": "wikidata-widen0-848k-identifiers@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_external_ids",
      "input_row_digest": "sha256:bc004b5b3420cb923a137d561df1d494dc0a0d3948b833ced84aa0eda003fec5",
      "output_file": "identifiers.ndjson",
      "row_index": 290637,
      "snapshot_id": "wikidata-widen0-848k-identifiers@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_external_ids",
      "input_row_digest": "sha256:cc009b7f9da1cbc60451742933d0fd6e84a23a7b03bec203fd4f57c81fabe7bd",
      "output_file": "identifiers.ndjson",
      "row_index": 290635,
      "snapshot_id": "wikidata-widen0-848k-identifiers@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_external_ids",
      "input_row_digest": "sha256:69a4bf0de4164b3f7a78d4a2987282de223de0dbabcd49a93902f8f011551437",
      "output_file": "identifiers.ndjson",
      "row_index": 290631,
      "snapshot_id": "wikidata-widen0-848k-identifiers@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_relationships",
      "input_row_digest": "sha256:24228c91e7fcf0a0d14ca3503779653c2c218f193ae4f88d8ac3833f4403a35a",
      "output_file": "relationships.ndjson",
      "row_index": 349525,
      "snapshot_id": "wikidata-widen0-848k-relationships@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_relationships",
      "input_row_digest": "sha256:ddf6233163948f9689d9f5d48a89624590402219327260c52462dfffbecbcf3e",
      "output_file": "relationships.ndjson",
      "row_index": 349529,
      "snapshot_id": "wikidata-widen0-848k-relationships@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_relationships",
      "input_row_digest": "sha256:fdefb65fae210c56112e56bead9c7c65cd7470c495d649d5be92ece6298fd25f",
      "output_file": "relationships.ndjson",
      "row_index": 349536,
      "snapshot_id": "wikidata-widen0-848k-relationships@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_relationships",
      "input_row_digest": "sha256:9c74ecebfd17b41d70b6298a5ac42f21c16e0b417f766e329760891b72d77c5b",
      "output_file": "relationships.ndjson",
      "row_index": 349533,
      "snapshot_id": "wikidata-widen0-848k-relationships@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_relationships",
      "input_row_digest": "sha256:36fd1b2707bcc131b48122de5087e4564b56c0ffe2a6b54785fbcaaab9fcdca0",
      "output_file": "relationships.ndjson",
      "row_index": 349519,
      "snapshot_id": "wikidata-widen0-848k-relationships@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_relationships",
      "input_row_digest": "sha256:47d6bbed1493e28d2fe1dc33f332f57207ed665542745dd156a775c1f276d0af",
      "output_file": "relationships.ndjson",
      "row_index": 349534,
      "snapshot_id": "wikidata-widen0-848k-relationships@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_relationships",
      "input_row_digest": "sha256:90977fb59c327e8a607d1b725476e0c92a602da1c4b321714588cecf84e9e890",
      "output_file": "relationships.ndjson",
      "row_index": 349518,
      "snapshot_id": "wikidata-widen0-848k-relationships@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_relationships",
      "input_row_digest": "sha256:2de50ee8b94d868eb821feb6760355dd32d44f33f6745f1aa825ec867b9b2e67",
      "output_file": "relationships.ndjson",
      "row_index": 349524,
      "snapshot_id": "wikidata-widen0-848k-relationships@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_relationships",
      "input_row_digest": "sha256:f181d436494cf27dca56856de87bbbe5e90103eda7222480b4a7fe1de8f6c5df",
      "output_file": "relationships.ndjson",
      "row_index": 349535,
      "snapshot_id": "wikidata-widen0-848k-relationships@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_relationships",
      "input_row_digest": "sha256:33ac039d216a2f1a17c5e773c04a89d4f089f475ca6070108336c27aa0edc834",
      "output_file": "relationships.ndjson",
      "row_index": 349530,
      "snapshot_id": "wikidata-widen0-848k-relationships@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_relationships",
      "input_row_digest": "sha256:06e179e9c4167949f46b0b6b55a27c467b45b38c6cd1194c5d22f83e46afb32c",
      "output_file": "relationships.ndjson",
      "row_index": 349522,
      "snapshot_id": "wikidata-widen0-848k-relationships@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_relationships",
      "input_row_digest": "sha256:4f3ef81da6e3bf416ceff4a3ef9eb71ab5ff99bc7cfef82e36782f5094bb1e86",
      "output_file": "relationships.ndjson",
      "row_index": 349523,
      "snapshot_id": "wikidata-widen0-848k-relationships@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_relationships",
      "input_row_digest": "sha256:f3ce6ce5104e54eeeb557eaaa1d35f4eb381ebb39fe19b62d5ee3583b92bffd3",
      "output_file": "relationships.ndjson",
      "row_index": 349528,
      "snapshot_id": "wikidata-widen0-848k-relationships@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_relationships",
      "input_row_digest": "sha256:86ff1f9342d927ce39a76c9b672835784cbfbffb55f62f8b97366b22268d7ada",
      "output_file": "relationships.ndjson",
      "row_index": 349521,
      "snapshot_id": "wikidata-widen0-848k-relationships@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_relationships",
      "input_row_digest": "sha256:77e5664a57d68f14d0f72a203054626e206c3a348c0ad9c150fa502913d78976",
      "output_file": "relationships.ndjson",
      "row_index": 349520,
      "snapshot_id": "wikidata-widen0-848k-relationships@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_relationships",
      "input_row_digest": "sha256:19b43c21b95f73df3936a9af8e9dd50b4f9394865e3720aac7d875eabfd5923f",
      "output_file": "relationships.ndjson",
      "row_index": 349527,
      "snapshot_id": "wikidata-widen0-848k-relationships@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_relationships",
      "input_row_digest": "sha256:c24ebf5b568aae6b3c04f023af0b0b54f10128d06e633fc986355f3408941898",
      "output_file": "relationships.ndjson",
      "row_index": 349531,
      "snapshot_id": "wikidata-widen0-848k-relationships@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_relationships",
      "input_row_digest": "sha256:74aa5ed77415ad3f6fa955967d24f0604b6cf7c9a479ecdfdbe7673bd7df8e6c",
      "output_file": "relationships.ndjson",
      "row_index": 349526,
      "snapshot_id": "wikidata-widen0-848k-relationships@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_relationships",
      "input_row_digest": "sha256:8697972c4b03dca58c23dc3de02a0bb00042d8d86dcbba7ea7692451f9c34b3e",
      "output_file": "relationships.ndjson",
      "row_index": 349532,
      "snapshot_id": "wikidata-widen0-848k-relationships@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "e6add6a4d8e1668a9ac486407e52974724563ce1",
      "family": "wikidata_enwiki_sitelinks",
      "input_row_digest": "sha256:50f9cd491d8064f4c0e8db4982cd824a106b26eb7ac87279fb288e5a76f0e333",
      "output_file": "wikipedia_sitelinks.ndjson",
      "row_index": 9160,
      "snapshot_id": "wikidata-widen0-848k-sitelinks@2026-08-24"
    }
  },
  {
    "family": "wikimedia_graph_row",
    "detail": {
      "acquisition_repo": "thelaplage/counterpedia-acquisition",
      "acquisition_revision": "891f24c5cca64aa69b1dc1b2150e991b940171b0",
      "family": "wikipedia_wikidata_join",
      "input_row_digest": "sha256:47ea2e319b52defc552a8e881b2fa030b1abbd1bf3cdbdfb22db105ac595edca",
      "output_file": "wikipedia_wikidata_links.ndjson",
      "row_index": 7300,
      "snapshot_id": "wikimedia-demo-join0@2026-08-28"
    }
  }
]

Classification identities

[
  {
    "classQid": "Q3924032",
    "label": "mathematical property",
    "href": "/browse/types/Q3924032"
  }
]

Wikidata content CC0; Wikipedia titles CC BY-SA — attribution.