{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4AQXPPT56RSSGEEY3KAOXDS7S3","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":"7ee72442d21f35c434e97f4e046a882ed113764a0bc2466a1c7a3345a7527ea7","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-02-16T00:22:48Z","title_canon_sha256":"778a626f23a930aea1f6dc8557f29beb2073689451abc8b3fe08a6da54c69977"},"schema_version":"1.0","source":{"id":"1802.05808","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.05808","created_at":"2026-05-18T00:00:13Z"},{"alias_kind":"arxiv_version","alias_value":"1802.05808v2","created_at":"2026-05-18T00:00:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.05808","created_at":"2026-05-18T00:00:13Z"},{"alias_kind":"pith_short_12","alias_value":"4AQXPPT56RSS","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4AQXPPT56RSSGEEY","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4AQXPPT5","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:20582f6129aa634837659810f7d1b5a5de477ee6c42cc667eded2edc8e014cbf","target":"graph","created_at":"2026-05-18T00:00:13Z","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":"We study several classes of non-associative algebras as possible candidates for deformation quantization in the direction of a Poisson bracket that does not satisfy Jacobi identities. We show that in fact alternative deformation quantization algebras require the Jacobi identities on the Poisson bracket and, under very general assumptions, are associative. At the same time, flexible deformation quantization algebras exist for any Poisson bracket.","authors_text":"D. Vassilevich, F. M. C. Oliveira","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-02-16T00:22:48Z","title":"Nearly associative deformation quantization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.05808","kind":"arxiv","version":2},"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":"sha256:1d83ebc40a6e4073d910c8473a48ca19b55cbc537aa45d61ca3bebd52abfc36d","target":"record","created_at":"2026-05-18T00:00:13Z","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":"7ee72442d21f35c434e97f4e046a882ed113764a0bc2466a1c7a3345a7527ea7","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-02-16T00:22:48Z","title_canon_sha256":"778a626f23a930aea1f6dc8557f29beb2073689451abc8b3fe08a6da54c69977"},"schema_version":"1.0","source":{"id":"1802.05808","kind":"arxiv","version":2}},"canonical_sha256":"e02177be7df465231098da80eb8e5f96f646f439c9b038c953d07efe3436b818","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e02177be7df465231098da80eb8e5f96f646f439c9b038c953d07efe3436b818","first_computed_at":"2026-05-18T00:00:13.403389Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:13.403389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YlTrXkoGAeKpNrQV56NAI+wAqwf6FE0e2TKSUHvDmVJoGfZyt7z7ctCHLr/2K1MVmudcRHyqrZOoJNcTtDw7DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:13.404010Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.05808","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d83ebc40a6e4073d910c8473a48ca19b55cbc537aa45d61ca3bebd52abfc36d","sha256:20582f6129aa634837659810f7d1b5a5de477ee6c42cc667eded2edc8e014cbf"],"state_sha256":"fa1626962f45cb15ef1693253007f94933d26f56aacd3a73fa8b8c99f8165381"}