{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:SIZPTRN3KRJ3I67CB2656FDX42","short_pith_number":"pith:SIZPTRN3","schema_version":"1.0","canonical_sha256":"9232f9c5bb5453b47be20ebddf1477e6b3ff09549ac283d40512c5d2585299b0","source":{"kind":"arxiv","id":"2310.05225","version":1},"attestation_state":"computed","paper":{"title":"Combinatorics of pruned Hurwitz numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.CO","authors_text":"Marvin Anas Hahn, Sean Gearoid Fitzgerald, S\\'iofra Kelly","submitted_at":"2023-10-08T16:46:40Z","abstract_excerpt":"Hurwitz numbers enumerate branched morphisms between Riemannn surfaces with fixed numerical data. They represent important objects in enumerative geometry that are accessible by combinatorial techniques. In the past decade, many variants of Hurwitz numbers have appeared in the literature. In this paper, we focus on an exciting such variant that arises naturally from the theory of topological recursion: Pruned Hurwitz numbers. These are defined as an enumeration of a relevant subset of branched morphisms between Riemann surfaces, that yield smaller numbers than their classical counterparts whil"},"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":"2310.05225","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2023-10-08T16:46:40Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"40d6d79f830d9c73e8156618455ea487db9b256f415c99834cadb27be1590196","abstract_canon_sha256":"c68355d7a288f90f1b84f45cd7090ba88784841df17fe50cfb95f8001b51b364"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:58:28.351988Z","signature_b64":"eL082HjERNuYEbViFMLPzNHlrAtnz0bGHoJcLareaHPsePT8VNvAsFC9yjekeyT95C2YEvzPsRNlATreuOvpCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9232f9c5bb5453b47be20ebddf1477e6b3ff09549ac283d40512c5d2585299b0","last_reissued_at":"2026-07-05T06:58:28.351536Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:58:28.351536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Combinatorics of pruned Hurwitz numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.CO","authors_text":"Marvin Anas Hahn, Sean Gearoid Fitzgerald, S\\'iofra Kelly","submitted_at":"2023-10-08T16:46:40Z","abstract_excerpt":"Hurwitz numbers enumerate branched morphisms between Riemannn surfaces with fixed numerical data. They represent important objects in enumerative geometry that are accessible by combinatorial techniques. In the past decade, many variants of Hurwitz numbers have appeared in the literature. In this paper, we focus on an exciting such variant that arises naturally from the theory of topological recursion: Pruned Hurwitz numbers. These are defined as an enumeration of a relevant subset of branched morphisms between Riemann surfaces, that yield smaller numbers than their classical counterparts whil"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.05225","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2310.05225/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2310.05225","created_at":"2026-07-05T06:58:28.351593+00:00"},{"alias_kind":"arxiv_version","alias_value":"2310.05225v1","created_at":"2026-07-05T06:58:28.351593+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.05225","created_at":"2026-07-05T06:58:28.351593+00:00"},{"alias_kind":"pith_short_12","alias_value":"SIZPTRN3KRJ3","created_at":"2026-07-05T06:58:28.351593+00:00"},{"alias_kind":"pith_short_16","alias_value":"SIZPTRN3KRJ3I67C","created_at":"2026-07-05T06:58:28.351593+00:00"},{"alias_kind":"pith_short_8","alias_value":"SIZPTRN3","created_at":"2026-07-05T06:58:28.351593+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2508.06188","citing_title":"A refined twist on Hurwitz numbers","ref_index":30,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SIZPTRN3KRJ3I67CB2656FDX42","json":"https://pith.science/pith/SIZPTRN3KRJ3I67CB2656FDX42.json","graph_json":"https://pith.science/api/pith-number/SIZPTRN3KRJ3I67CB2656FDX42/graph.json","events_json":"https://pith.science/api/pith-number/SIZPTRN3KRJ3I67CB2656FDX42/events.json","paper":"https://pith.science/paper/SIZPTRN3"},"agent_actions":{"view_html":"https://pith.science/pith/SIZPTRN3KRJ3I67CB2656FDX42","download_json":"https://pith.science/pith/SIZPTRN3KRJ3I67CB2656FDX42.json","view_paper":"https://pith.science/paper/SIZPTRN3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2310.05225&json=true","fetch_graph":"https://pith.science/api/pith-number/SIZPTRN3KRJ3I67CB2656FDX42/graph.json","fetch_events":"https://pith.science/api/pith-number/SIZPTRN3KRJ3I67CB2656FDX42/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SIZPTRN3KRJ3I67CB2656FDX42/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SIZPTRN3KRJ3I67CB2656FDX42/action/storage_attestation","attest_author":"https://pith.science/pith/SIZPTRN3KRJ3I67CB2656FDX42/action/author_attestation","sign_citation":"https://pith.science/pith/SIZPTRN3KRJ3I67CB2656FDX42/action/citation_signature","submit_replication":"https://pith.science/pith/SIZPTRN3KRJ3I67CB2656FDX42/action/replication_record"}},"created_at":"2026-07-05T06:58:28.351593+00:00","updated_at":"2026-07-05T06:58:28.351593+00:00"}