{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:STGYVZ53ACZB7R5YMYODBNT3GO","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":"5107a68147f709ddb4fc187e3fcc061701f8a255969b23332eb72ebd56b2abcd","cross_cats_sorted":["math.AG","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-08-22T22:16:48Z","title_canon_sha256":"d08710685e447f1af491f08fdf33511fd204d8d8f1feec1f7abaeb3ec7233aec"},"schema_version":"1.0","source":{"id":"1908.08611","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.08611","created_at":"2026-07-04T23:59:16Z"},{"alias_kind":"arxiv_version","alias_value":"1908.08611v1","created_at":"2026-07-04T23:59:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.08611","created_at":"2026-07-04T23:59:16Z"},{"alias_kind":"pith_short_12","alias_value":"STGYVZ53ACZB","created_at":"2026-07-04T23:59:16Z"},{"alias_kind":"pith_short_16","alias_value":"STGYVZ53ACZB7R5Y","created_at":"2026-07-04T23:59:16Z"},{"alias_kind":"pith_short_8","alias_value":"STGYVZ53","created_at":"2026-07-04T23:59:16Z"}],"graph_snapshots":[{"event_id":"sha256:88a356510a0a0e8192c5ee3d6f28f67c6847ce1bf482c9cdeaae28140d34e6f1","target":"graph","created_at":"2026-07-04T23:59:16Z","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/1908.08611/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We express the Masur-Veech volume and the area Siegel-Veech constant of the moduli space of meromorphic quadratic differential with simple poles as polynomials in the intersection numbers of psi-classes supported on the boundary cycles of the Deligne-Mumford compactification of the moduli space of curves. Our formulae are derived from lattice point count involving the Kontsevich volume polynomials that also appear in Mirzakhani's recursion for the Weil-Petersson volumes of the moduli space of bordered hyperbolic Riemann surfaces.\n  A similar formula for the Masur-Veech volume (though without e","authors_text":"Anton Zorich, Elise Goujard, Peter Zograf, Vincent Delecroix","cross_cats":["math.AG","math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-08-22T22:16:48Z","title":"Masur-Veech volumes, frequencies of simple closed geodesics and intersection numbers of moduli spaces of curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.08611","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:a153c4103288146d06be9be24d362f01f29f5a6b058eba87d93dc7df9e6d00b2","target":"record","created_at":"2026-07-04T23:59:16Z","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":"5107a68147f709ddb4fc187e3fcc061701f8a255969b23332eb72ebd56b2abcd","cross_cats_sorted":["math.AG","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-08-22T22:16:48Z","title_canon_sha256":"d08710685e447f1af491f08fdf33511fd204d8d8f1feec1f7abaeb3ec7233aec"},"schema_version":"1.0","source":{"id":"1908.08611","kind":"arxiv","version":1}},"canonical_sha256":"94cd8ae7bb00b21fc7b8661c30b67b3387045a126577c384a1b36f6b17cade54","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94cd8ae7bb00b21fc7b8661c30b67b3387045a126577c384a1b36f6b17cade54","first_computed_at":"2026-07-04T23:59:16.091692Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:59:16.091692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DM3uWsKrhHs15sYUTNa5yjqItY6DKq2bdhV81mYcMXamir9CXXgSPvxetxj2nIEsmBtJKev37Z7t1tbR4UPsCg==","signature_status":"signed_v1","signed_at":"2026-07-04T23:59:16.092158Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.08611","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a153c4103288146d06be9be24d362f01f29f5a6b058eba87d93dc7df9e6d00b2","sha256:88a356510a0a0e8192c5ee3d6f28f67c6847ce1bf482c9cdeaae28140d34e6f1"],"state_sha256":"1bfb575a8d8bcfa3a7b5cf06b8ce1f7c3f26bd1c7b8f4988b6b7cd32e03d4ffc"}