{"schema_version":"4ort.packet/1","entity":{"entity_id":"arithmetic-geometry","kg_uuid":"0d9cf5c8-8d9c-4aad-839a-276c6b17339a","wikidata_id":"Q2179749","name":"arithmetic geometry","description":"branch of algebraic geometry focused on problems in number theory","type":"Intangible","url":"https://4ort.xyz/entity/arithmetic-geometry"},"status":"complete","as_of":{"copy_written_at":"2026-11-06T14:28:17Z","last_source_edit_seen":"2026-05-28T04:05:56Z","stale_possible":false,"claims_refreshed_at":"2026-10-25T13:20:12Z","source_revision":2551908952},"facts":[{"field":"P31","label":"instance of","value":"branch of mathematics","value_id":"Q1936384","value_raw":"Q1936384","rank":"normal","current":null,"qualifiers":[],"layer":"source","citation":{"source":"wikidata","source_name":"Wikidata","source_record":"https://www.wikidata.org/wiki/Q2179749#P31","source_edition":"2026-10-25T13:20:12Z","edition_basis":"claims_refreshed_at","licence":"CC0 1.0 Universal","licence_url":"https://creativecommons.org/publicdomain/zero/1.0/","attribution":null,"references":[]},"trust":{"band":"unscored","basis":"wikidata-reference-support/2","calibrated":false}},{"field":"P279","label":"subclass of","value":"geometry","value_id":"Q8087","value_raw":"Q8087","rank":"normal","current":null,"qualifiers":[],"layer":"source","citation":{"source":"wikidata","source_name":"Wikidata","source_record":"https://www.wikidata.org/wiki/Q2179749#P279","source_edition":"2026-10-25T13:20:12Z","edition_basis":"claims_refreshed_at","licence":"CC0 1.0 Universal","licence_url":"https://creativecommons.org/publicdomain/zero/1.0/","attribution":null,"references":[]},"trust":{"band":"unscored","basis":"wikidata-reference-support/2","calibrated":false}},{"field":"P527","label":"has part(s)","value":"Diophantine geometry","value_id":"Q16526038","value_raw":"Q16526038","rank":"normal","current":null,"qualifiers":[],"layer":"source","citation":{"source":"wikidata","source_name":"Wikidata","source_record":"https://www.wikidata.org/wiki/Q2179749#P527","source_edition":"2026-10-25T13:20:12Z","edition_basis":"claims_refreshed_at","licence":"CC0 1.0 Universal","licence_url":"https://creativecommons.org/publicdomain/zero/1.0/","attribution":null,"references":[]},"trust":{"band":"unscored","basis":"wikidata-reference-support/2","calibrated":false}},{"field":"P1482","label":"Stack Exchange tag","value":"https://mathoverflow.net/tags/arithmetic-geometry","value_id":null,"value_raw":"https://mathoverflow.net/tags/arithmetic-geometry","rank":"normal","current":null,"qualifiers":[],"layer":"source","citation":{"source":"wikidata","source_name":"Wikidata","source_record":"https://www.wikidata.org/wiki/Q2179749#P1482","source_edition":"2026-10-25T13:20:12Z","edition_basis":"claims_refreshed_at","licence":"CC0 1.0 Universal","licence_url":"https://creativecommons.org/publicdomain/zero/1.0/","attribution":null,"references":[]},"trust":{"band":"unscored","basis":"wikidata-reference-support/2","calibrated":false}},{"field":"P2812","label":"MathWorld ID","value":"ArithmeticGeometry","value_id":null,"value_raw":"ArithmeticGeometry","rank":"normal","current":null,"qualifiers":[{"field":"P1810","label":"subject named as","value":"Arithmetic Geometry"}],"layer":"source","citation":{"source":"wikidata","source_name":"Wikidata","source_record":"https://www.wikidata.org/wiki/Q2179749#P2812","source_edition":"2026-10-25T13:20:12Z","edition_basis":"claims_refreshed_at","licence":"CC0 1.0 Universal","licence_url":"https://creativecommons.org/publicdomain/zero/1.0/","attribution":null,"references":[]},"trust":{"band":"unscored","basis":"wikidata-reference-support/2","calibrated":false}},{"field":"P3285","label":"Mathematics Subject Classification ID","value":"11Gxx","value_id":null,"value_raw":"11Gxx","rank":"normal","current":null,"qualifiers":[],"layer":"source","citation":{"source":"wikidata","source_name":"Wikidata","source_record":"https://www.wikidata.org/wiki/Q2179749#P3285","source_edition":"2026-10-25T13:20:12Z","edition_basis":"claims_refreshed_at","licence":"CC0 1.0 Universal","licence_url":"https://creativecommons.org/publicdomain/zero/1.0/","attribution":null,"references":[]},"trust":{"band":"unscored","basis":"wikidata-reference-support/2","calibrated":false}},{"field":"P4215","label":"nLab ID","value":"arithmetic geometry","value_id":null,"value_raw":"arithmetic geometry","rank":"normal","current":null,"qualifiers":[],"layer":"source","citation":{"source":"wikidata","source_name":"Wikidata","source_record":"https://www.wikidata.org/wiki/Q2179749#P4215","source_edition":"2026-10-25T13:20:12Z","edition_basis":"claims_refreshed_at","licence":"CC0 1.0 Universal","licence_url":"https://creativecommons.org/publicdomain/zero/1.0/","attribution":null,"references":[]},"trust":{"band":"unscored","basis":"wikidata-reference-support/2","calibrated":false}},{"field":"P6104","label":"maintained by WikiProject","value":"WikiProject Mathematics","value_id":"Q8487137","value_raw":"Q8487137","rank":"normal","current":null,"qualifiers":[],"layer":"source","citation":{"source":"wikidata","source_name":"Wikidata","source_record":"https://www.wikidata.org/wiki/Q2179749#P6104","source_edition":"2026-10-25T13:20:12Z","edition_basis":"claims_refreshed_at","licence":"CC0 1.0 Universal","licence_url":"https://creativecommons.org/publicdomain/zero/1.0/","attribution":null,"references":[]},"trust":{"band":"unscored","basis":"wikidata-reference-support/2","calibrated":false}},{"field":"P6781","label":"ProofWiki ID","value":"Definition:Arithmetic_Geometry","value_id":null,"value_raw":"Definition:Arithmetic_Geometry","rank":"normal","current":null,"qualifiers":[],"layer":"source","citation":{"source":"wikidata","source_name":"Wikidata","source_record":"https://www.wikidata.org/wiki/Q2179749#P6781","source_edition":"2026-10-25T13:20:12Z","edition_basis":"claims_refreshed_at","licence":"CC0 1.0 Universal","licence_url":"https://creativecommons.org/publicdomain/zero/1.0/","attribution":null,"references":[]},"trust":{"band":"unscored","basis":"wikidata-reference-support/2","calibrated":false}},{"field":"P13591","label":"Yale LUX ID","value":"concept/7d2c2786-6f9c-4d67-ac7a-9a9d6bdf0b16","value_id":null,"value_raw":"concept/7d2c2786-6f9c-4d67-ac7a-9a9d6bdf0b16","rank":"normal","current":null,"qualifiers":[],"layer":"source","citation":{"source":"wikidata","source_name":"Wikidata","source_record":"https://www.wikidata.org/wiki/Q2179749#P13591","source_edition":"2026-10-25T13:20:12Z","edition_basis":"claims_refreshed_at","licence":"CC0 1.0 Universal","licence_url":"https://creativecommons.org/publicdomain/zero/1.0/","attribution":null,"references":[]},"trust":{"band":"unscored","basis":"wikidata-reference-support/2","calibrated":false}}],"unknowns":[],"omitted":{"facts":0,"reason":null},"licences":[{"source":"wikidata","source_name":"Wikidata","licence":"CC0 1.0 Universal","licence_url":"https://creativecommons.org/publicdomain/zero/1.0/","attribution":null,"fields":["P31","P279","P527","P1482","P2812","P3285","P4215","P6104","P6781","P13591"]}],"routes":{"entity_page":"https://4ort.xyz/entity/arithmetic-geometry","packet_api":"https://4ort.xyz/api/v1/entities/arithmetic-geometry/packet","facts_jsonld":"https://4ort.xyz/entity/arithmetic-geometry/facts.json","changes_api":"https://4ort.xyz/api/v1/knowledge/get_entity_changes?entity=arithmetic-geometry","attention_api":"https://4ort.xyz/api/v1/knowledge/get_attention?entity=arithmetic-geometry","wikidata":"https://www.wikidata.org/wiki/Q2179749","official_website":null},"trust_rules":{"wikidata-reference-support/2":"From the references in our copy of the statement: high = it cites a source (stated in P248, or a reference URL that is not Wikipedia); medium = only 'imported from Wikimedia project' or a Wikipedia URL; unscored = our copy holds no reference (older copies dropped references, so this is not evidence that Wikidata has none). Wikidata may hold more references than our copy shows. Reference support, not a probability."},"notes":[]}