{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:DEGU6YMJOQNTC3LQZYMZ7MR2CL","short_pith_number":"pith:DEGU6YMJ","schema_version":"1.0","canonical_sha256":"190d4f6189741b316d70ce199fb23a12dbfc04ef34e666244573e10081b34432","source":{"kind":"arxiv","id":"1705.10955","version":1},"attestation_state":"computed","paper":{"title":"Intersections of $\\omega$ classes in $\\overline{\\mathcal{M}}_{g,n}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Renzo Cavalieri, Vance Blankers","submitted_at":"2017-05-31T06:42:53Z","abstract_excerpt":"We provide a graph formula which describes an arbitrary monomial in {\\omega} classes (also referred to as stable {\\psi} classes) in terms of a simple family of dual graphs (pinwheel graphs) with edges decorated by rational functions in {\\psi} classes. We deduce some numerical consequences and in particular a combinatorial formula expressing top intersections of \\k{appa} classes on Mg in terms of top intersections of {\\psi} classes."},"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":"1705.10955","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-31T06:42:53Z","cross_cats_sorted":[],"title_canon_sha256":"4be959d8b38e900cd3a8d332e25c0926cfb952b18d7a43a24d9c574643d2a69e","abstract_canon_sha256":"fa34a9e7d44ecf4a3092b6a236ae4af4e2b67363c12649c546d88455bd99c15a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:19.709775Z","signature_b64":"+vXvLf4hXX+NAodpL02Xgc/lm//peXXN9zPgp9QOcO+2g1CvixRVv9jxcAAy5HLTtDbLlkFt3ofHSnScmjbBCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"190d4f6189741b316d70ce199fb23a12dbfc04ef34e666244573e10081b34432","last_reissued_at":"2026-05-18T00:43:19.709049Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:19.709049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Intersections of $\\omega$ classes in $\\overline{\\mathcal{M}}_{g,n}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Renzo Cavalieri, Vance Blankers","submitted_at":"2017-05-31T06:42:53Z","abstract_excerpt":"We provide a graph formula which describes an arbitrary monomial in {\\omega} classes (also referred to as stable {\\psi} classes) in terms of a simple family of dual graphs (pinwheel graphs) with edges decorated by rational functions in {\\psi} classes. We deduce some numerical consequences and in particular a combinatorial formula expressing top intersections of \\k{appa} classes on Mg in terms of top intersections of {\\psi} classes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10955","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":"1705.10955","created_at":"2026-05-18T00:43:19.709151+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.10955v1","created_at":"2026-05-18T00:43:19.709151+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10955","created_at":"2026-05-18T00:43:19.709151+00:00"},{"alias_kind":"pith_short_12","alias_value":"DEGU6YMJOQNT","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"DEGU6YMJOQNTC3LQ","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"DEGU6YMJ","created_at":"2026-05-18T12:31:10.602751+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/DEGU6YMJOQNTC3LQZYMZ7MR2CL","json":"https://pith.science/pith/DEGU6YMJOQNTC3LQZYMZ7MR2CL.json","graph_json":"https://pith.science/api/pith-number/DEGU6YMJOQNTC3LQZYMZ7MR2CL/graph.json","events_json":"https://pith.science/api/pith-number/DEGU6YMJOQNTC3LQZYMZ7MR2CL/events.json","paper":"https://pith.science/paper/DEGU6YMJ"},"agent_actions":{"view_html":"https://pith.science/pith/DEGU6YMJOQNTC3LQZYMZ7MR2CL","download_json":"https://pith.science/pith/DEGU6YMJOQNTC3LQZYMZ7MR2CL.json","view_paper":"https://pith.science/paper/DEGU6YMJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.10955&json=true","fetch_graph":"https://pith.science/api/pith-number/DEGU6YMJOQNTC3LQZYMZ7MR2CL/graph.json","fetch_events":"https://pith.science/api/pith-number/DEGU6YMJOQNTC3LQZYMZ7MR2CL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DEGU6YMJOQNTC3LQZYMZ7MR2CL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DEGU6YMJOQNTC3LQZYMZ7MR2CL/action/storage_attestation","attest_author":"https://pith.science/pith/DEGU6YMJOQNTC3LQZYMZ7MR2CL/action/author_attestation","sign_citation":"https://pith.science/pith/DEGU6YMJOQNTC3LQZYMZ7MR2CL/action/citation_signature","submit_replication":"https://pith.science/pith/DEGU6YMJOQNTC3LQZYMZ7MR2CL/action/replication_record"}},"created_at":"2026-05-18T00:43:19.709151+00:00","updated_at":"2026-05-18T00:43:19.709151+00:00"}