{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:4XE4NTWVDATD3M6HJUSASMEQPT","short_pith_number":"pith:4XE4NTWV","schema_version":"1.0","canonical_sha256":"e5c9c6ced518263db3c74d240930907cc3a4bb45b4eb6047461a3ab12fe310d4","source":{"kind":"arxiv","id":"1511.03534","version":2},"attestation_state":"computed","paper":{"title":"Central and medial quasigroups of small order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"David Stanovsk\\'y, Petr Vojt\\v{e}chovsk\\'y","submitted_at":"2015-11-11T15:29:41Z","abstract_excerpt":"We enumerate central and medial quasigroups of order less than $128$ up to isomorphism, with the exception of those quasigroups that are isotopic to $C_4\\times C_2^4$, $C_2^6$, $C_3^4$ or $C_5^3$. We give an explicit formula for the number of quasigroups that are affine over a finite cyclic group."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1511.03534","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-11-11T15:29:41Z","cross_cats_sorted":[],"title_canon_sha256":"f4bce967b24ae1f793d3356871cd1f7085b7d9b3f6dfa172d2fe2cd7a5b0d627","abstract_canon_sha256":"34975835769e09723c4d1ba99d89a79457991edc5618a3335f2a0aa1cdf7a7a3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:03.405701Z","signature_b64":"iPmw0gxbN81PL4fQYtNth5/Me3/wLM5dqlStTYXHHl451jLqNlfdy/qPlTYteMBsjAQhuVxHrxhCvxeyiNTXBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5c9c6ced518263db3c74d240930907cc3a4bb45b4eb6047461a3ab12fe310d4","last_reissued_at":"2026-05-18T01:11:03.405342Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:03.405342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Central and medial quasigroups of small order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"David Stanovsk\\'y, Petr Vojt\\v{e}chovsk\\'y","submitted_at":"2015-11-11T15:29:41Z","abstract_excerpt":"We enumerate central and medial quasigroups of order less than $128$ up to isomorphism, with the exception of those quasigroups that are isotopic to $C_4\\times C_2^4$, $C_2^6$, $C_3^4$ or $C_5^3$. We give an explicit formula for the number of quasigroups that are affine over a finite cyclic group."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03534","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1511.03534","created_at":"2026-05-18T01:11:03.405400+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.03534v2","created_at":"2026-05-18T01:11:03.405400+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03534","created_at":"2026-05-18T01:11:03.405400+00:00"},{"alias_kind":"pith_short_12","alias_value":"4XE4NTWVDATD","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"4XE4NTWVDATD3M6H","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"4XE4NTWV","created_at":"2026-05-18T12:29:05.191682+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4XE4NTWVDATD3M6HJUSASMEQPT","json":"https://pith.science/pith/4XE4NTWVDATD3M6HJUSASMEQPT.json","graph_json":"https://pith.science/api/pith-number/4XE4NTWVDATD3M6HJUSASMEQPT/graph.json","events_json":"https://pith.science/api/pith-number/4XE4NTWVDATD3M6HJUSASMEQPT/events.json","paper":"https://pith.science/paper/4XE4NTWV"},"agent_actions":{"view_html":"https://pith.science/pith/4XE4NTWVDATD3M6HJUSASMEQPT","download_json":"https://pith.science/pith/4XE4NTWVDATD3M6HJUSASMEQPT.json","view_paper":"https://pith.science/paper/4XE4NTWV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.03534&json=true","fetch_graph":"https://pith.science/api/pith-number/4XE4NTWVDATD3M6HJUSASMEQPT/graph.json","fetch_events":"https://pith.science/api/pith-number/4XE4NTWVDATD3M6HJUSASMEQPT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4XE4NTWVDATD3M6HJUSASMEQPT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4XE4NTWVDATD3M6HJUSASMEQPT/action/storage_attestation","attest_author":"https://pith.science/pith/4XE4NTWVDATD3M6HJUSASMEQPT/action/author_attestation","sign_citation":"https://pith.science/pith/4XE4NTWVDATD3M6HJUSASMEQPT/action/citation_signature","submit_replication":"https://pith.science/pith/4XE4NTWVDATD3M6HJUSASMEQPT/action/replication_record"}},"created_at":"2026-05-18T01:11:03.405400+00:00","updated_at":"2026-05-18T01:11:03.405400+00:00"}