{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:STZX7POBODJK32V5ZR36MLETVV","short_pith_number":"pith:STZX7POB","schema_version":"1.0","canonical_sha256":"94f37fbdc170d2adeabdcc77e62c93ad67971b8df90c61b30f6947340ab20b82","source":{"kind":"arxiv","id":"1504.07440","version":1},"attestation_state":"computed","paper":{"title":"Polynomiality of orbifold Hurwitz numbers, spectral curve, and a new proof of the Johnson-Pandharipande-Tseng formula","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.CO","math.MP"],"primary_cat":"math-ph","authors_text":"Alexandr Popolitov, Danilo Lewanski, Petr Dunin-Barkowski, Sergey Shadrin","submitted_at":"2015-04-28T12:16:43Z","abstract_excerpt":"In this paper we present an example of a derivation of an ELSV-type formula using the methods of topological recursion. Namely, for orbifold Hurwitz numbers we give a new proof of the spectral curve topological recursion, in the sense of Chekhov, Eynard, and Orantin, where the main new step compared to the existing proofs is a direct combinatorial proof of their quasi-polynomiality. Spectral curve topological recursion leads to a formula for the orbifold Hurwitz numbers in terms of the intersection theory of the moduli space of curves, which, in this case, appears to coincide with a special ca"},"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":"1504.07440","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-04-28T12:16:43Z","cross_cats_sorted":["math.AG","math.CO","math.MP"],"title_canon_sha256":"f805faa368f658c32bc18733a43b1f87ad9e3c81cf6408243aa56bac5c72f278","abstract_canon_sha256":"c34009af0766ba22e671b4c05df8e83e05403829058df99fa0f079b010418a65"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:48.932360Z","signature_b64":"gWvNros64zGfM58DGTCc1/wHuVSPkyDDrKi9aBoC6zlvJ+AngH0PgUq8WCmc19VwSxMMf74TBZgGUJ+3uT46Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94f37fbdc170d2adeabdcc77e62c93ad67971b8df90c61b30f6947340ab20b82","last_reissued_at":"2026-05-18T00:37:48.931865Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:48.931865Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Polynomiality of orbifold Hurwitz numbers, spectral curve, and a new proof of the Johnson-Pandharipande-Tseng formula","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.CO","math.MP"],"primary_cat":"math-ph","authors_text":"Alexandr Popolitov, Danilo Lewanski, Petr Dunin-Barkowski, Sergey Shadrin","submitted_at":"2015-04-28T12:16:43Z","abstract_excerpt":"In this paper we present an example of a derivation of an ELSV-type formula using the methods of topological recursion. Namely, for orbifold Hurwitz numbers we give a new proof of the spectral curve topological recursion, in the sense of Chekhov, Eynard, and Orantin, where the main new step compared to the existing proofs is a direct combinatorial proof of their quasi-polynomiality. Spectral curve topological recursion leads to a formula for the orbifold Hurwitz numbers in terms of the intersection theory of the moduli space of curves, which, in this case, appears to coincide with a special ca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.07440","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":"1504.07440","created_at":"2026-05-18T00:37:48.931929+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.07440v1","created_at":"2026-05-18T00:37:48.931929+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.07440","created_at":"2026-05-18T00:37:48.931929+00:00"},{"alias_kind":"pith_short_12","alias_value":"STZX7POBODJK","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_16","alias_value":"STZX7POBODJK32V5","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_8","alias_value":"STZX7POB","created_at":"2026-05-18T12:29:42.218222+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/STZX7POBODJK32V5ZR36MLETVV","json":"https://pith.science/pith/STZX7POBODJK32V5ZR36MLETVV.json","graph_json":"https://pith.science/api/pith-number/STZX7POBODJK32V5ZR36MLETVV/graph.json","events_json":"https://pith.science/api/pith-number/STZX7POBODJK32V5ZR36MLETVV/events.json","paper":"https://pith.science/paper/STZX7POB"},"agent_actions":{"view_html":"https://pith.science/pith/STZX7POBODJK32V5ZR36MLETVV","download_json":"https://pith.science/pith/STZX7POBODJK32V5ZR36MLETVV.json","view_paper":"https://pith.science/paper/STZX7POB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.07440&json=true","fetch_graph":"https://pith.science/api/pith-number/STZX7POBODJK32V5ZR36MLETVV/graph.json","fetch_events":"https://pith.science/api/pith-number/STZX7POBODJK32V5ZR36MLETVV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/STZX7POBODJK32V5ZR36MLETVV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/STZX7POBODJK32V5ZR36MLETVV/action/storage_attestation","attest_author":"https://pith.science/pith/STZX7POBODJK32V5ZR36MLETVV/action/author_attestation","sign_citation":"https://pith.science/pith/STZX7POBODJK32V5ZR36MLETVV/action/citation_signature","submit_replication":"https://pith.science/pith/STZX7POBODJK32V5ZR36MLETVV/action/replication_record"}},"created_at":"2026-05-18T00:37:48.931929+00:00","updated_at":"2026-05-18T00:37:48.931929+00:00"}