{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:XBMJGEQOETAVG7TEYZBYQO5X4E","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":"5f618645ad784093b709138126b78208f86d1136e74f5125761003d2919a0649","cross_cats_sorted":["math.AT","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2019-07-11T20:03:12Z","title_canon_sha256":"6f804d35775113a28a9bdd1c30902362b4ce943d2b29526e149d1a0bba380ed2"},"schema_version":"1.0","source":{"id":"1907.05470","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.05470","created_at":"2026-05-17T23:40:48Z"},{"alias_kind":"arxiv_version","alias_value":"1907.05470v1","created_at":"2026-05-17T23:40:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.05470","created_at":"2026-05-17T23:40:48Z"},{"alias_kind":"pith_short_12","alias_value":"XBMJGEQOETAV","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"XBMJGEQOETAVG7TE","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"XBMJGEQO","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:276aa0cee12f58dd7e5e8bbe0e50e317b96cc46501d5ac30aab9131c48bc2fe7","target":"graph","created_at":"2026-05-17T23:40:48Z","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"},"paper":{"abstract_excerpt":"In this introductory paper we study nearly Frobenius algebras which are generalizations of the concept of a Frobenius algebra which appear naturally in topology: nearly Frobenius algebras have no traces (co-units). We survey the most basic foundational results and some of the applications they encounter in geometry, topology and representation theory.","authors_text":"Ana Gonz\\'alez, Bernardo Uribe, Carlos Segovia, Ernesto Lupercio","cross_cats":["math.AT","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2019-07-11T20:03:12Z","title":"Nearly Frobenius Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.05470","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":"sha256:393e8582464594a39e6c7f43f6611870a979859010953d94cfbed185685b3173","target":"record","created_at":"2026-05-17T23:40:48Z","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":"5f618645ad784093b709138126b78208f86d1136e74f5125761003d2919a0649","cross_cats_sorted":["math.AT","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2019-07-11T20:03:12Z","title_canon_sha256":"6f804d35775113a28a9bdd1c30902362b4ce943d2b29526e149d1a0bba380ed2"},"schema_version":"1.0","source":{"id":"1907.05470","kind":"arxiv","version":1}},"canonical_sha256":"b85893120e24c1537e64c643883bb7e117ed3f24ca13e7089860464600ce58df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b85893120e24c1537e64c643883bb7e117ed3f24ca13e7089860464600ce58df","first_computed_at":"2026-05-17T23:40:48.312813Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:48.312813Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jEUU7jKF2s8NM1vtyDTqVSbVQOgz3ReLZ2+rp38rcWSW+atOyRORmQnbXVIYH/LHQuTM9zyQQ4wKuXkCF+iiDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:48.313578Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.05470","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:393e8582464594a39e6c7f43f6611870a979859010953d94cfbed185685b3173","sha256:276aa0cee12f58dd7e5e8bbe0e50e317b96cc46501d5ac30aab9131c48bc2fe7"],"state_sha256":"9266dc58c57f6206070c223140b757dc0e2d73a501769501dca2d95f7158e425"}