{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:NGWPQEKAE5M4ZMV2QTH3BS3YGY","short_pith_number":"pith:NGWPQEKA","schema_version":"1.0","canonical_sha256":"69acf811402759ccb2ba84cfb0cb78361f3bf47d8eb81c006598e9863fb07a0f","source":{"kind":"arxiv","id":"2502.13121","version":1},"attestation_state":"computed","paper":{"title":"Volumes of odd strata of quadratic differentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.CO"],"primary_cat":"math.GT","authors_text":"Eduard Duryev, Elise Goujard, Ivan Yakovlev","submitted_at":"2025-02-18T18:42:27Z","abstract_excerpt":"We express the Masur--Veech volumes of \"completed\" strata of quadratic differentials with only odd singularities as a sum over stable graphs. This formula generalizes the formula of Delecroix-Goujard-Zograf-Zorich for principal strata. The coefficients of the formula are in our case intersection numbers of psi classes with the Witten-Kontsevich combinatorial classes; they naturally appear in the count of metric ribbon graphs with prescribed odd valencies. The \"completed\" strata that we consider are unions of odd strata and some adjacent strata, that contribute to the Masur--Veech volume with e"},"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":"2502.13121","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-02-18T18:42:27Z","cross_cats_sorted":["math.AG","math.CO"],"title_canon_sha256":"82a5aa96e6d9a3d0465190b1960d03e3231ccb29ad7cd1b78d28fdeb6cf72961","abstract_canon_sha256":"0c76b0a257620e2b72af3ac18d43eb93dac85cad7cd1a0f8ff9071ac9f2654bd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:16:29.734970Z","signature_b64":"6a1HpILRXX41Y8bauMHq78HN98v543Nba9eUjB5yhg7y6Igc8vvMJ5Q3ZRAwcI2QkRHth0YRwRgJgEiK6y06AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69acf811402759ccb2ba84cfb0cb78361f3bf47d8eb81c006598e9863fb07a0f","last_reissued_at":"2026-07-05T10:16:29.734485Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:16:29.734485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Volumes of odd strata of quadratic differentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.CO"],"primary_cat":"math.GT","authors_text":"Eduard Duryev, Elise Goujard, Ivan Yakovlev","submitted_at":"2025-02-18T18:42:27Z","abstract_excerpt":"We express the Masur--Veech volumes of \"completed\" strata of quadratic differentials with only odd singularities as a sum over stable graphs. This formula generalizes the formula of Delecroix-Goujard-Zograf-Zorich for principal strata. The coefficients of the formula are in our case intersection numbers of psi classes with the Witten-Kontsevich combinatorial classes; they naturally appear in the count of metric ribbon graphs with prescribed odd valencies. The \"completed\" strata that we consider are unions of odd strata and some adjacent strata, that contribute to the Masur--Veech volume with e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.13121","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/2502.13121/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":"2502.13121","created_at":"2026-07-05T10:16:29.734551+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.13121v1","created_at":"2026-07-05T10:16:29.734551+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.13121","created_at":"2026-07-05T10:16:29.734551+00:00"},{"alias_kind":"pith_short_12","alias_value":"NGWPQEKAE5M4","created_at":"2026-07-05T10:16:29.734551+00:00"},{"alias_kind":"pith_short_16","alias_value":"NGWPQEKAE5M4ZMV2","created_at":"2026-07-05T10:16:29.734551+00:00"},{"alias_kind":"pith_short_8","alias_value":"NGWPQEKA","created_at":"2026-07-05T10:16:29.734551+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.27611","citing_title":"Completed volumes and the DR-cycle","ref_index":5,"is_internal_anchor":false},{"citing_arxiv_id":"2605.09526","citing_title":"Refined lattice point counting on the moduli space of Klein surfaces","ref_index":15,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NGWPQEKAE5M4ZMV2QTH3BS3YGY","json":"https://pith.science/pith/NGWPQEKAE5M4ZMV2QTH3BS3YGY.json","graph_json":"https://pith.science/api/pith-number/NGWPQEKAE5M4ZMV2QTH3BS3YGY/graph.json","events_json":"https://pith.science/api/pith-number/NGWPQEKAE5M4ZMV2QTH3BS3YGY/events.json","paper":"https://pith.science/paper/NGWPQEKA"},"agent_actions":{"view_html":"https://pith.science/pith/NGWPQEKAE5M4ZMV2QTH3BS3YGY","download_json":"https://pith.science/pith/NGWPQEKAE5M4ZMV2QTH3BS3YGY.json","view_paper":"https://pith.science/paper/NGWPQEKA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.13121&json=true","fetch_graph":"https://pith.science/api/pith-number/NGWPQEKAE5M4ZMV2QTH3BS3YGY/graph.json","fetch_events":"https://pith.science/api/pith-number/NGWPQEKAE5M4ZMV2QTH3BS3YGY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NGWPQEKAE5M4ZMV2QTH3BS3YGY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NGWPQEKAE5M4ZMV2QTH3BS3YGY/action/storage_attestation","attest_author":"https://pith.science/pith/NGWPQEKAE5M4ZMV2QTH3BS3YGY/action/author_attestation","sign_citation":"https://pith.science/pith/NGWPQEKAE5M4ZMV2QTH3BS3YGY/action/citation_signature","submit_replication":"https://pith.science/pith/NGWPQEKAE5M4ZMV2QTH3BS3YGY/action/replication_record"}},"created_at":"2026-07-05T10:16:29.734551+00:00","updated_at":"2026-07-05T10:16:29.734551+00:00"}