{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:PRCOLCO2LCQRNJYAUDLNKNYWTR","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":"a71b9cbb3e939c4080bb1cc270517917e0f6e49380d1a1a0df185cf838966568","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-09-05T10:20:56Z","title_canon_sha256":"d46a5311ec94f5d909581381c4690f36623d2286e8905c0af288f0127805ceb5"},"schema_version":"1.0","source":{"id":"1909.02302","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.02302","created_at":"2026-07-05T04:51:50Z"},{"alias_kind":"arxiv_version","alias_value":"1909.02302v3","created_at":"2026-07-05T04:51:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.02302","created_at":"2026-07-05T04:51:50Z"},{"alias_kind":"pith_short_12","alias_value":"PRCOLCO2LCQR","created_at":"2026-07-05T04:51:50Z"},{"alias_kind":"pith_short_16","alias_value":"PRCOLCO2LCQRNJYA","created_at":"2026-07-05T04:51:50Z"},{"alias_kind":"pith_short_8","alias_value":"PRCOLCO2","created_at":"2026-07-05T04:51:50Z"}],"graph_snapshots":[{"event_id":"sha256:fdc4519bbc57e05fe7b3363cba8102b4f40da7a30bf54748e68db38ddc6fcc66","target":"graph","created_at":"2026-07-05T04:51:50Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1909.02302/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove the conjecture of Do and Karev that the monotone orbifold Hurwitz numbers satisfy the Chekhov-Eynard-Orantin topological recursion.","authors_text":"Alexandr Popolitov, Reinier Kramer, Sergey Shadrin","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-09-05T10:20:56Z","title":"Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.02302","kind":"arxiv","version":3},"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":"sha256:87057cd4e5e6f63016ae95570c9d91cd075bf203097129aaa4672e5392daf85f","target":"record","created_at":"2026-07-05T04:51:50Z","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":"a71b9cbb3e939c4080bb1cc270517917e0f6e49380d1a1a0df185cf838966568","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-09-05T10:20:56Z","title_canon_sha256":"d46a5311ec94f5d909581381c4690f36623d2286e8905c0af288f0127805ceb5"},"schema_version":"1.0","source":{"id":"1909.02302","kind":"arxiv","version":3}},"canonical_sha256":"7c44e589da58a116a700a0d6d537169c5239ac8dc6c1a1264db82d841964d07b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c44e589da58a116a700a0d6d537169c5239ac8dc6c1a1264db82d841964d07b","first_computed_at":"2026-07-05T04:51:50.941635Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:51:50.941635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nbpCl4V/Vw3yuyiHuy5c8zgdXi2Qx2LqWxz/dCx5up/4yeVx10bL6suV56gEzzzHf9C9HRy1ZXAT66qA9ZIkCA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:51:50.942163Z","signed_message":"canonical_sha256_bytes"},"source_id":"1909.02302","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87057cd4e5e6f63016ae95570c9d91cd075bf203097129aaa4672e5392daf85f","sha256:fdc4519bbc57e05fe7b3363cba8102b4f40da7a30bf54748e68db38ddc6fcc66"],"state_sha256":"bb21585bcaef7c4d6605dc5ba4cb6a97f6c87a1006d14b8650a5a35764b03c9b"}