{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:FWNYHIND76FA45FZUMW3YNXTFX","short_pith_number":"pith:FWNYHIND","schema_version":"1.0","canonical_sha256":"2d9b83a1a3ff8a0e74b9a32dbc36f32dcf3a9a09c48bafe5a02e06cec53d496b","source":{"kind":"arxiv","id":"1303.7046","version":1},"attestation_state":"computed","paper":{"title":"Ramified coverings of small categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.CT","authors_text":"Kazunori Noguchi","submitted_at":"2013-03-28T06:09:22Z","abstract_excerpt":"We introduce a ramified covering of small categories, and we show three properties of the notion: the Riemann-Hurwitz formula holds for a ramified covering of finite categories, the zeta function of $C$ divides that of $\\widetilde{C}$ for a ramified covering $\\map{P}{\\widetilde{C}}{C}$ of finite categories, and the classifying space of a $d$-fold ramified covering of small categories is also a $d$-fold ramified covering in the sense of Dold \\cite{Dol86}."},"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":"1303.7046","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2013-03-28T06:09:22Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"e99401b931d2a6b1a07bdfb72c150367c5c2126624b5dab40c6f3e2f6ab1b84e","abstract_canon_sha256":"ace8d37c2b6e0221c1770cd23292c321c8dae7c815bcd8134976b499e030ca3b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:29:38.763585Z","signature_b64":"TPqQfD328YoSsAZ8FlYRJmbzKvOmFT+GnQ7PDS5P0FIQNSNtuxV55UrInODqTB6h37w+Am5yg61LUBS3k2qgBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d9b83a1a3ff8a0e74b9a32dbc36f32dcf3a9a09c48bafe5a02e06cec53d496b","last_reissued_at":"2026-05-18T03:29:38.762789Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:29:38.762789Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ramified coverings of small categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.CT","authors_text":"Kazunori Noguchi","submitted_at":"2013-03-28T06:09:22Z","abstract_excerpt":"We introduce a ramified covering of small categories, and we show three properties of the notion: the Riemann-Hurwitz formula holds for a ramified covering of finite categories, the zeta function of $C$ divides that of $\\widetilde{C}$ for a ramified covering $\\map{P}{\\widetilde{C}}{C}$ of finite categories, and the classifying space of a $d$-fold ramified covering of small categories is also a $d$-fold ramified covering in the sense of Dold \\cite{Dol86}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.7046","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":"1303.7046","created_at":"2026-05-18T03:29:38.762911+00:00"},{"alias_kind":"arxiv_version","alias_value":"1303.7046v1","created_at":"2026-05-18T03:29:38.762911+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.7046","created_at":"2026-05-18T03:29:38.762911+00:00"},{"alias_kind":"pith_short_12","alias_value":"FWNYHIND76FA","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"FWNYHIND76FA45FZ","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"FWNYHIND","created_at":"2026-05-18T12:27:45.050594+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/FWNYHIND76FA45FZUMW3YNXTFX","json":"https://pith.science/pith/FWNYHIND76FA45FZUMW3YNXTFX.json","graph_json":"https://pith.science/api/pith-number/FWNYHIND76FA45FZUMW3YNXTFX/graph.json","events_json":"https://pith.science/api/pith-number/FWNYHIND76FA45FZUMW3YNXTFX/events.json","paper":"https://pith.science/paper/FWNYHIND"},"agent_actions":{"view_html":"https://pith.science/pith/FWNYHIND76FA45FZUMW3YNXTFX","download_json":"https://pith.science/pith/FWNYHIND76FA45FZUMW3YNXTFX.json","view_paper":"https://pith.science/paper/FWNYHIND","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1303.7046&json=true","fetch_graph":"https://pith.science/api/pith-number/FWNYHIND76FA45FZUMW3YNXTFX/graph.json","fetch_events":"https://pith.science/api/pith-number/FWNYHIND76FA45FZUMW3YNXTFX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FWNYHIND76FA45FZUMW3YNXTFX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FWNYHIND76FA45FZUMW3YNXTFX/action/storage_attestation","attest_author":"https://pith.science/pith/FWNYHIND76FA45FZUMW3YNXTFX/action/author_attestation","sign_citation":"https://pith.science/pith/FWNYHIND76FA45FZUMW3YNXTFX/action/citation_signature","submit_replication":"https://pith.science/pith/FWNYHIND76FA45FZUMW3YNXTFX/action/replication_record"}},"created_at":"2026-05-18T03:29:38.762911+00:00","updated_at":"2026-05-18T03:29:38.762911+00:00"}