{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:STZX7POBODJK32V5ZR36MLETVV","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c34009af0766ba22e671b4c05df8e83e05403829058df99fa0f079b010418a65","cross_cats_sorted":["math.AG","math.CO","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-04-28T12:16:43Z","title_canon_sha256":"f805faa368f658c32bc18733a43b1f87ad9e3c81cf6408243aa56bac5c72f278"},"schema_version":"1.0","source":{"id":"1504.07440","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.07440","created_at":"2026-05-18T00:37:48Z"},{"alias_kind":"arxiv_version","alias_value":"1504.07440v1","created_at":"2026-05-18T00:37:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.07440","created_at":"2026-05-18T00:37:48Z"},{"alias_kind":"pith_short_12","alias_value":"STZX7POBODJK","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"STZX7POBODJK32V5","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"STZX7POB","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:4b207da7088d0e7266e5fe9b373c3f1c09fc914e2f4e23fa3db1741c1222d40e","target":"graph","created_at":"2026-05-18T00:37:48Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Alexandr Popolitov, Danilo Lewanski, Petr Dunin-Barkowski, Sergey Shadrin","cross_cats":["math.AG","math.CO","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-04-28T12:16:43Z","title":"Polynomiality of orbifold Hurwitz numbers, spectral curve, and a new proof of the Johnson-Pandharipande-Tseng formula"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.07440","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b19d9326a0cb17c8d44c3b3518bc17de85e363d8351b455070146666899681e6","target":"record","created_at":"2026-05-18T00:37:48Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c34009af0766ba22e671b4c05df8e83e05403829058df99fa0f079b010418a65","cross_cats_sorted":["math.AG","math.CO","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-04-28T12:16:43Z","title_canon_sha256":"f805faa368f658c32bc18733a43b1f87ad9e3c81cf6408243aa56bac5c72f278"},"schema_version":"1.0","source":{"id":"1504.07440","kind":"arxiv","version":1}},"canonical_sha256":"94f37fbdc170d2adeabdcc77e62c93ad67971b8df90c61b30f6947340ab20b82","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94f37fbdc170d2adeabdcc77e62c93ad67971b8df90c61b30f6947340ab20b82","first_computed_at":"2026-05-18T00:37:48.931865Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:48.931865Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gWvNros64zGfM58DGTCc1/wHuVSPkyDDrKi9aBoC6zlvJ+AngH0PgUq8WCmc19VwSxMMf74TBZgGUJ+3uT46Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:48.932360Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.07440","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b19d9326a0cb17c8d44c3b3518bc17de85e363d8351b455070146666899681e6","sha256:4b207da7088d0e7266e5fe9b373c3f1c09fc914e2f4e23fa3db1741c1222d40e"],"state_sha256":"35bf142d818c02d5ca9638dd954b3c7a51c8d73effbd7069fc6db8e693960722"}