{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:YZ2VIS4QMRQG72OEMXI23H2YHT","short_pith_number":"pith:YZ2VIS4Q","schema_version":"1.0","canonical_sha256":"c675544b9064606fe9c465d1ad9f583cf78a51dedfbe5d2a4530b2f4d34875f1","source":{"kind":"arxiv","id":"1505.05143","version":3},"attestation_state":"computed","paper":{"title":"Divisibility of binomial coefficients and generation of alternating groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR","math.NT"],"primary_cat":"math.CO","authors_text":"John Shareshian, Russ Woodroofe","submitted_at":"2015-05-19T20:00:26Z","abstract_excerpt":"We examine an elementary problem on prime divisibility of binomial coefficients. Our problem is motivated by several related questions on alternating groups."},"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":"1505.05143","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-05-19T20:00:26Z","cross_cats_sorted":["math.GR","math.NT"],"title_canon_sha256":"be855c84972914a2ddb1ea23afce1ff7a09d3d9684e765d8d4042119e014644c","abstract_canon_sha256":"8d4aaedad037d5399487c1924fb2f268ac866c207f59798ec2d9429e2828332a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:21.723440Z","signature_b64":"EFZA1C8j38ShrBvY8N1KhmbJyQ0NEgdQXbs5IbXWJiQ/ZLq4NHhtHsX3Ics/el3Yw6O5EtajfRvJudcUq04VBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c675544b9064606fe9c465d1ad9f583cf78a51dedfbe5d2a4530b2f4d34875f1","last_reissued_at":"2026-05-18T00:32:21.722904Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:21.722904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Divisibility of binomial coefficients and generation of alternating groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR","math.NT"],"primary_cat":"math.CO","authors_text":"John Shareshian, Russ Woodroofe","submitted_at":"2015-05-19T20:00:26Z","abstract_excerpt":"We examine an elementary problem on prime divisibility of binomial coefficients. Our problem is motivated by several related questions on alternating groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05143","kind":"arxiv","version":3},"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":"1505.05143","created_at":"2026-05-18T00:32:21.723003+00:00"},{"alias_kind":"arxiv_version","alias_value":"1505.05143v3","created_at":"2026-05-18T00:32:21.723003+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05143","created_at":"2026-05-18T00:32:21.723003+00:00"},{"alias_kind":"pith_short_12","alias_value":"YZ2VIS4QMRQG","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_16","alias_value":"YZ2VIS4QMRQG72OE","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_8","alias_value":"YZ2VIS4Q","created_at":"2026-05-18T12:29:52.810259+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/YZ2VIS4QMRQG72OEMXI23H2YHT","json":"https://pith.science/pith/YZ2VIS4QMRQG72OEMXI23H2YHT.json","graph_json":"https://pith.science/api/pith-number/YZ2VIS4QMRQG72OEMXI23H2YHT/graph.json","events_json":"https://pith.science/api/pith-number/YZ2VIS4QMRQG72OEMXI23H2YHT/events.json","paper":"https://pith.science/paper/YZ2VIS4Q"},"agent_actions":{"view_html":"https://pith.science/pith/YZ2VIS4QMRQG72OEMXI23H2YHT","download_json":"https://pith.science/pith/YZ2VIS4QMRQG72OEMXI23H2YHT.json","view_paper":"https://pith.science/paper/YZ2VIS4Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1505.05143&json=true","fetch_graph":"https://pith.science/api/pith-number/YZ2VIS4QMRQG72OEMXI23H2YHT/graph.json","fetch_events":"https://pith.science/api/pith-number/YZ2VIS4QMRQG72OEMXI23H2YHT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YZ2VIS4QMRQG72OEMXI23H2YHT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YZ2VIS4QMRQG72OEMXI23H2YHT/action/storage_attestation","attest_author":"https://pith.science/pith/YZ2VIS4QMRQG72OEMXI23H2YHT/action/author_attestation","sign_citation":"https://pith.science/pith/YZ2VIS4QMRQG72OEMXI23H2YHT/action/citation_signature","submit_replication":"https://pith.science/pith/YZ2VIS4QMRQG72OEMXI23H2YHT/action/replication_record"}},"created_at":"2026-05-18T00:32:21.723003+00:00","updated_at":"2026-05-18T00:32:21.723003+00:00"}