{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:UUSRL6TQEVN3PP2UVBADMENE7C","short_pith_number":"pith:UUSRL6TQ","schema_version":"1.0","canonical_sha256":"a52515fa70255bb7bf54a8403611a4f8b759e712b08a2cf8b2001a011f94da45","source":{"kind":"arxiv","id":"1206.0372","version":2},"attestation_state":"computed","paper":{"title":"Frobenius 3-Folds via Singular Flat 3-Webs","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["nlin.SI"],"primary_cat":"math.DG","authors_text":"Sergey I. Agafonov","submitted_at":"2012-06-02T12:24:21Z","abstract_excerpt":"We give a geometric interpretation of weighted homogeneous solutions to the associativity equation in terms of the web theory and construct a massive Frobenius 3-fold germ via a singular 3-web germ satisfying the following conditions: 1) the web germ admits at least one infinitesimal symmetry, 2) the Chern connection form is holomorphic, 3) the curvature form vanishes identically."},"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":"1206.0372","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.DG","submitted_at":"2012-06-02T12:24:21Z","cross_cats_sorted":["nlin.SI"],"title_canon_sha256":"01c26b86b9e14c9c236392fbcc846212f0586558f0210c747c1a2eb1e4f46202","abstract_canon_sha256":"0bb8ad59bff89db8c3c978cf9956c25385d1624a852b9263c38adaab90640925"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:09.199370Z","signature_b64":"WfnWSgTa3VkuO0FEI8Bbduky7zAt7lmI9L9Ef8JkVj17EYCQSWKJYE6JCoh33sDlj8Ras4/R0e1y0RWEPlsZBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a52515fa70255bb7bf54a8403611a4f8b759e712b08a2cf8b2001a011f94da45","last_reissued_at":"2026-05-18T02:21:09.198929Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:09.198929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Frobenius 3-Folds via Singular Flat 3-Webs","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["nlin.SI"],"primary_cat":"math.DG","authors_text":"Sergey I. Agafonov","submitted_at":"2012-06-02T12:24:21Z","abstract_excerpt":"We give a geometric interpretation of weighted homogeneous solutions to the associativity equation in terms of the web theory and construct a massive Frobenius 3-fold germ via a singular 3-web germ satisfying the following conditions: 1) the web germ admits at least one infinitesimal symmetry, 2) the Chern connection form is holomorphic, 3) the curvature form vanishes identically."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0372","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":"1206.0372","created_at":"2026-05-18T02:21:09.198994+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.0372v2","created_at":"2026-05-18T02:21:09.198994+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0372","created_at":"2026-05-18T02:21:09.198994+00:00"},{"alias_kind":"pith_short_12","alias_value":"UUSRL6TQEVN3","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_16","alias_value":"UUSRL6TQEVN3PP2U","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_8","alias_value":"UUSRL6TQ","created_at":"2026-05-18T12:27:25.539911+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/UUSRL6TQEVN3PP2UVBADMENE7C","json":"https://pith.science/pith/UUSRL6TQEVN3PP2UVBADMENE7C.json","graph_json":"https://pith.science/api/pith-number/UUSRL6TQEVN3PP2UVBADMENE7C/graph.json","events_json":"https://pith.science/api/pith-number/UUSRL6TQEVN3PP2UVBADMENE7C/events.json","paper":"https://pith.science/paper/UUSRL6TQ"},"agent_actions":{"view_html":"https://pith.science/pith/UUSRL6TQEVN3PP2UVBADMENE7C","download_json":"https://pith.science/pith/UUSRL6TQEVN3PP2UVBADMENE7C.json","view_paper":"https://pith.science/paper/UUSRL6TQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.0372&json=true","fetch_graph":"https://pith.science/api/pith-number/UUSRL6TQEVN3PP2UVBADMENE7C/graph.json","fetch_events":"https://pith.science/api/pith-number/UUSRL6TQEVN3PP2UVBADMENE7C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UUSRL6TQEVN3PP2UVBADMENE7C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UUSRL6TQEVN3PP2UVBADMENE7C/action/storage_attestation","attest_author":"https://pith.science/pith/UUSRL6TQEVN3PP2UVBADMENE7C/action/author_attestation","sign_citation":"https://pith.science/pith/UUSRL6TQEVN3PP2UVBADMENE7C/action/citation_signature","submit_replication":"https://pith.science/pith/UUSRL6TQEVN3PP2UVBADMENE7C/action/replication_record"}},"created_at":"2026-05-18T02:21:09.198994+00:00","updated_at":"2026-05-18T02:21:09.198994+00:00"}