{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:4WUDF3EQQNKCAKBY634XHTVQWJ","short_pith_number":"pith:4WUDF3EQ","schema_version":"1.0","canonical_sha256":"e5a832ec908354202838f6f973ceb0b27c5ce8edb60eba5686328f2ac0acfb00","source":{"kind":"arxiv","id":"1807.03631","version":2},"attestation_state":"computed","paper":{"title":"A square root of Hurwitz numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AG","authors_text":"Junho Lee","submitted_at":"2018-07-07T20:57:08Z","abstract_excerpt":"We exhibit a generating function of spin Hurwitz numbers analogous to (disconnected) double Hurwitz numbers that is a tau function of the two-component BKP (2-BKP) hierarchy and is a square root of a tau function of the two-component KP (2-KP) hierarchy defined by related Hurwitz numbers."},"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":"1807.03631","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-07-07T20:57:08Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"40814c6f58cce0ecb1d93cb90e65dcd7ff61489e532c97272efa6f129fbf5a4c","abstract_canon_sha256":"358cc68288d830bc14683be1eb0b8897455df7c3134ef4c4e185be73f60ff16d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:48.914729Z","signature_b64":"th3vaw9Btweau/YvuOm1drrkMHm5o8ws5iEco60UkSbTDsqmkl5Q7/KjQfOX4IiFhSD9lIGfYUdf3GvPnY9PBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5a832ec908354202838f6f973ceb0b27c5ce8edb60eba5686328f2ac0acfb00","last_reissued_at":"2026-05-17T23:42:48.914035Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:48.914035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A square root of Hurwitz numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AG","authors_text":"Junho Lee","submitted_at":"2018-07-07T20:57:08Z","abstract_excerpt":"We exhibit a generating function of spin Hurwitz numbers analogous to (disconnected) double Hurwitz numbers that is a tau function of the two-component BKP (2-BKP) hierarchy and is a square root of a tau function of the two-component KP (2-KP) hierarchy defined by related Hurwitz numbers."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.03631","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":"1807.03631","created_at":"2026-05-17T23:42:48.914128+00:00"},{"alias_kind":"arxiv_version","alias_value":"1807.03631v2","created_at":"2026-05-17T23:42:48.914128+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.03631","created_at":"2026-05-17T23:42:48.914128+00:00"},{"alias_kind":"pith_short_12","alias_value":"4WUDF3EQQNKC","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_16","alias_value":"4WUDF3EQQNKCAKBY","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_8","alias_value":"4WUDF3EQ","created_at":"2026-05-18T12:32:05.422762+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/4WUDF3EQQNKCAKBY634XHTVQWJ","json":"https://pith.science/pith/4WUDF3EQQNKCAKBY634XHTVQWJ.json","graph_json":"https://pith.science/api/pith-number/4WUDF3EQQNKCAKBY634XHTVQWJ/graph.json","events_json":"https://pith.science/api/pith-number/4WUDF3EQQNKCAKBY634XHTVQWJ/events.json","paper":"https://pith.science/paper/4WUDF3EQ"},"agent_actions":{"view_html":"https://pith.science/pith/4WUDF3EQQNKCAKBY634XHTVQWJ","download_json":"https://pith.science/pith/4WUDF3EQQNKCAKBY634XHTVQWJ.json","view_paper":"https://pith.science/paper/4WUDF3EQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1807.03631&json=true","fetch_graph":"https://pith.science/api/pith-number/4WUDF3EQQNKCAKBY634XHTVQWJ/graph.json","fetch_events":"https://pith.science/api/pith-number/4WUDF3EQQNKCAKBY634XHTVQWJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4WUDF3EQQNKCAKBY634XHTVQWJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4WUDF3EQQNKCAKBY634XHTVQWJ/action/storage_attestation","attest_author":"https://pith.science/pith/4WUDF3EQQNKCAKBY634XHTVQWJ/action/author_attestation","sign_citation":"https://pith.science/pith/4WUDF3EQQNKCAKBY634XHTVQWJ/action/citation_signature","submit_replication":"https://pith.science/pith/4WUDF3EQQNKCAKBY634XHTVQWJ/action/replication_record"}},"created_at":"2026-05-17T23:42:48.914128+00:00","updated_at":"2026-05-17T23:42:48.914128+00:00"}