{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:3NDJHD4FWIJAZZXKN2MK3M6CS2","short_pith_number":"pith:3NDJHD4F","schema_version":"1.0","canonical_sha256":"db46938f85b2120ce6ea6e98adb3c29687998dbbe6bd23e1775a676973255b3d","source":{"kind":"arxiv","id":"1412.5242","version":1},"attestation_state":"computed","paper":{"title":"Integrality of the simple Hurwitz numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.CO","authors_text":"Shintarou Yanagida","submitted_at":"2014-12-17T02:10:18Z","abstract_excerpt":"We show the integrality of the simple Hurwitz numbers. The main tool is the cut-and-join operator, and our proof is a purely combinatorial one."},"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":"1412.5242","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-12-17T02:10:18Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"a8a5016b26807125c8d1bf8de71c479bad3e1fa6af777be78e604ea5661c55b4","abstract_canon_sha256":"ba6ae7241b3cb801fc60dd154c83e3252aa3cd8079fda3985112e2e0aa7aacde"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:03.449231Z","signature_b64":"/rsioo5Fx6LM6Lkao2caTrgejCxyw3+FOfmeWwtwVoex7R3E5bhBpHII4+iOpSjcTAvIGo66iu/mAZO+r1VYDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db46938f85b2120ce6ea6e98adb3c29687998dbbe6bd23e1775a676973255b3d","last_reissued_at":"2026-05-18T02:31:03.448754Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:03.448754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Integrality of the simple Hurwitz numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.CO","authors_text":"Shintarou Yanagida","submitted_at":"2014-12-17T02:10:18Z","abstract_excerpt":"We show the integrality of the simple Hurwitz numbers. The main tool is the cut-and-join operator, and our proof is a purely combinatorial one."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.5242","kind":"arxiv","version":1},"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":"1412.5242","created_at":"2026-05-18T02:31:03.448824+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.5242v1","created_at":"2026-05-18T02:31:03.448824+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.5242","created_at":"2026-05-18T02:31:03.448824+00:00"},{"alias_kind":"pith_short_12","alias_value":"3NDJHD4FWIJA","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"3NDJHD4FWIJAZZXK","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"3NDJHD4F","created_at":"2026-05-18T12:28:11.866339+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/3NDJHD4FWIJAZZXKN2MK3M6CS2","json":"https://pith.science/pith/3NDJHD4FWIJAZZXKN2MK3M6CS2.json","graph_json":"https://pith.science/api/pith-number/3NDJHD4FWIJAZZXKN2MK3M6CS2/graph.json","events_json":"https://pith.science/api/pith-number/3NDJHD4FWIJAZZXKN2MK3M6CS2/events.json","paper":"https://pith.science/paper/3NDJHD4F"},"agent_actions":{"view_html":"https://pith.science/pith/3NDJHD4FWIJAZZXKN2MK3M6CS2","download_json":"https://pith.science/pith/3NDJHD4FWIJAZZXKN2MK3M6CS2.json","view_paper":"https://pith.science/paper/3NDJHD4F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.5242&json=true","fetch_graph":"https://pith.science/api/pith-number/3NDJHD4FWIJAZZXKN2MK3M6CS2/graph.json","fetch_events":"https://pith.science/api/pith-number/3NDJHD4FWIJAZZXKN2MK3M6CS2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3NDJHD4FWIJAZZXKN2MK3M6CS2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3NDJHD4FWIJAZZXKN2MK3M6CS2/action/storage_attestation","attest_author":"https://pith.science/pith/3NDJHD4FWIJAZZXKN2MK3M6CS2/action/author_attestation","sign_citation":"https://pith.science/pith/3NDJHD4FWIJAZZXKN2MK3M6CS2/action/citation_signature","submit_replication":"https://pith.science/pith/3NDJHD4FWIJAZZXKN2MK3M6CS2/action/replication_record"}},"created_at":"2026-05-18T02:31:03.448824+00:00","updated_at":"2026-05-18T02:31:03.448824+00:00"}