{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:MZPIMOA75K5CCJ4BPMHDNCPAVH","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":"2421fd919ebdb5af17c627964e19cdbca6095ed234790efa798b85004ba8b315","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-11-25T18:45:17Z","title_canon_sha256":"4da1562542dd7a025f1edfc52c04184d9ec1ba35efc894de13f7184bb08dcd60"},"schema_version":"1.0","source":{"id":"1411.6964","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6964","created_at":"2026-05-18T02:32:46Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6964v1","created_at":"2026-05-18T02:32:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6964","created_at":"2026-05-18T02:32:46Z"},{"alias_kind":"pith_short_12","alias_value":"MZPIMOA75K5C","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"MZPIMOA75K5CCJ4B","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"MZPIMOA7","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:c8b60bf563a477fb1ff6f0a7c1d841b34e83470b48b8ac1689e9487513709bfe","target":"graph","created_at":"2026-05-18T02:32:46Z","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 translate the main result of author's arXiv:1309.7744 to the language of formal geometry. In this new setting we prove directly that the Koszul resp. Borjeson braces are pullbacks of linear vector fields over the formal automorphism exp(a) -1 in the Koszul, resp. a/(1-a) in the Borjeson case. We then argue that both braces are versions of the same object, once materialized in the world of formal commutative geometry, once in the non-commutative one.","authors_text":"Martin Markl","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-11-25T18:45:17Z","title":"Higher braces via formal (non)commutative geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6964","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:e567ae9e542e47842ca9ed3d6abd08407c7e4769dc96ce4c0829c95712131f27","target":"record","created_at":"2026-05-18T02:32:46Z","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":"2421fd919ebdb5af17c627964e19cdbca6095ed234790efa798b85004ba8b315","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-11-25T18:45:17Z","title_canon_sha256":"4da1562542dd7a025f1edfc52c04184d9ec1ba35efc894de13f7184bb08dcd60"},"schema_version":"1.0","source":{"id":"1411.6964","kind":"arxiv","version":1}},"canonical_sha256":"665e86381feaba2127817b0e3689e0a9c258fbcac601feec58248bf33effbd6b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"665e86381feaba2127817b0e3689e0a9c258fbcac601feec58248bf33effbd6b","first_computed_at":"2026-05-18T02:32:46.852914Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:46.852914Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CJGQ+EtEYymMMSAN80e9Kf4RH1192yCM1PfrjCFK8HwJb1nTEU+JjPIbE0c+olhIRKfhV0YT0T/NK1Mk5mwvDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:46.853440Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.6964","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e567ae9e542e47842ca9ed3d6abd08407c7e4769dc96ce4c0829c95712131f27","sha256:c8b60bf563a477fb1ff6f0a7c1d841b34e83470b48b8ac1689e9487513709bfe"],"state_sha256":"79812a8072e9c8c2b6c2ca368d94593842813dc520b0c0023b8f1a9c0001d402"}