{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:Z24PKXBXA2PBSTQFD2EJX6UCNM","short_pith_number":"pith:Z24PKXBX","schema_version":"1.0","canonical_sha256":"ceb8f55c37069e194e051e889bfa826b2c595166a2eb5973830559a3bcb5a8a3","source":{"kind":"arxiv","id":"1203.5077","version":2},"attestation_state":"computed","paper":{"title":"De Rham cohomology and homotopy Frobenius manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.SG"],"primary_cat":"math.KT","authors_text":"Bruno Vallette, Sergey Shadrin, Vladimir Dotsenko","submitted_at":"2012-03-22T18:47:55Z","abstract_excerpt":"We endow the de Rham cohomology of any Poisson or Jacobi manifold with a natural homotopy Frobenius manifold structure. This result relies on a minimal model theorem for multicomplexes and a new kind of a Hodge degeneration condition."},"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":"1203.5077","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2012-03-22T18:47:55Z","cross_cats_sorted":["math.DG","math.SG"],"title_canon_sha256":"e947b64b2d5960b9d0566239f1d25841b08879fad81c546e07706c6d5c62abc8","abstract_canon_sha256":"ebd7d9eb0b71afb565b13619522a27ed7dd12760c04ea4252ff5c41990e39f41"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:49.185992Z","signature_b64":"oYZLEnHHajupQbJcZ7BEo4+4a+QHNgf801ByfXpqxVGtxjLu7DotaJczAp42+vIHDKudXs1ShClwf4JS4XzhBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ceb8f55c37069e194e051e889bfa826b2c595166a2eb5973830559a3bcb5a8a3","last_reissued_at":"2026-05-18T00:37:49.185263Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:49.185263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"De Rham cohomology and homotopy Frobenius manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.SG"],"primary_cat":"math.KT","authors_text":"Bruno Vallette, Sergey Shadrin, Vladimir Dotsenko","submitted_at":"2012-03-22T18:47:55Z","abstract_excerpt":"We endow the de Rham cohomology of any Poisson or Jacobi manifold with a natural homotopy Frobenius manifold structure. This result relies on a minimal model theorem for multicomplexes and a new kind of a Hodge degeneration condition."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.5077","kind":"arxiv","version":2},"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":"1203.5077","created_at":"2026-05-18T00:37:49.185388+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.5077v2","created_at":"2026-05-18T00:37:49.185388+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.5077","created_at":"2026-05-18T00:37:49.185388+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z24PKXBXA2PB","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z24PKXBXA2PBSTQF","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z24PKXBX","created_at":"2026-05-18T12:27:30.460161+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/Z24PKXBXA2PBSTQFD2EJX6UCNM","json":"https://pith.science/pith/Z24PKXBXA2PBSTQFD2EJX6UCNM.json","graph_json":"https://pith.science/api/pith-number/Z24PKXBXA2PBSTQFD2EJX6UCNM/graph.json","events_json":"https://pith.science/api/pith-number/Z24PKXBXA2PBSTQFD2EJX6UCNM/events.json","paper":"https://pith.science/paper/Z24PKXBX"},"agent_actions":{"view_html":"https://pith.science/pith/Z24PKXBXA2PBSTQFD2EJX6UCNM","download_json":"https://pith.science/pith/Z24PKXBXA2PBSTQFD2EJX6UCNM.json","view_paper":"https://pith.science/paper/Z24PKXBX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.5077&json=true","fetch_graph":"https://pith.science/api/pith-number/Z24PKXBXA2PBSTQFD2EJX6UCNM/graph.json","fetch_events":"https://pith.science/api/pith-number/Z24PKXBXA2PBSTQFD2EJX6UCNM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z24PKXBXA2PBSTQFD2EJX6UCNM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z24PKXBXA2PBSTQFD2EJX6UCNM/action/storage_attestation","attest_author":"https://pith.science/pith/Z24PKXBXA2PBSTQFD2EJX6UCNM/action/author_attestation","sign_citation":"https://pith.science/pith/Z24PKXBXA2PBSTQFD2EJX6UCNM/action/citation_signature","submit_replication":"https://pith.science/pith/Z24PKXBXA2PBSTQFD2EJX6UCNM/action/replication_record"}},"created_at":"2026-05-18T00:37:49.185388+00:00","updated_at":"2026-05-18T00:37:49.185388+00:00"}