{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:VBJWQXDMIONHNYYM25P2GXJLKH","short_pith_number":"pith:VBJWQXDM","canonical_record":{"source":{"id":"1301.4864","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-01-21T13:30:32Z","cross_cats_sorted":["math-ph","math.MP","math.RA"],"title_canon_sha256":"ac7fe2cfe9a48d6219b8c41f4d7b0e698a5abf4a2a0e193ba98a6c712993da50","abstract_canon_sha256":"b1c227d3b8a2ffa1ce29924913d8eefa35b8efb84466587d7f5a7db9b286553d"},"schema_version":"1.0"},"canonical_sha256":"a853685c6c439a76e30cd75fa35d2b51fea82e7af44ce475846a593104f8bf19","source":{"kind":"arxiv","id":"1301.4864","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.4864","created_at":"2026-05-18T01:11:44Z"},{"alias_kind":"arxiv_version","alias_value":"1301.4864v2","created_at":"2026-05-18T01:11:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.4864","created_at":"2026-05-18T01:11:44Z"},{"alias_kind":"pith_short_12","alias_value":"VBJWQXDMIONH","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VBJWQXDMIONHNYYM","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VBJWQXDM","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:VBJWQXDMIONHNYYM25P2GXJLKH","target":"record","payload":{"canonical_record":{"source":{"id":"1301.4864","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-01-21T13:30:32Z","cross_cats_sorted":["math-ph","math.MP","math.RA"],"title_canon_sha256":"ac7fe2cfe9a48d6219b8c41f4d7b0e698a5abf4a2a0e193ba98a6c712993da50","abstract_canon_sha256":"b1c227d3b8a2ffa1ce29924913d8eefa35b8efb84466587d7f5a7db9b286553d"},"schema_version":"1.0"},"canonical_sha256":"a853685c6c439a76e30cd75fa35d2b51fea82e7af44ce475846a593104f8bf19","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:44.053540Z","signature_b64":"bLiO7uR8xjxaINBnMaJ9cX0VJGrO/TlehYDnYofzGGQ97LQOcJSzHrpas2LtPbKImNeKC84T2lrHszvucxk/Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a853685c6c439a76e30cd75fa35d2b51fea82e7af44ce475846a593104f8bf19","last_reissued_at":"2026-05-18T01:11:44.053166Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:44.053166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.4864","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"32rvT4yHNHawqERCp0lGNgxLTR6ObkIA9vox3HUjveaGjIB/W7y5QtVDkIAHkj0LZ4iv2OSRKXwe0P1mtL9GAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T08:44:06.209935Z"},"content_sha256":"e0bc38cf5b44d842f40f03e71e95f5205389a60c98d714c3fa9e12ceab8451bd","schema_version":"1.0","event_id":"sha256:e0bc38cf5b44d842f40f03e71e95f5205389a60c98d714c3fa9e12ceab8451bd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:VBJWQXDMIONHNYYM25P2GXJLKH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Simultaneous deformations of algebras and morphisms via derived brackets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.RA"],"primary_cat":"math.QA","authors_text":"Marco Zambon, Yael Fregier","submitted_at":"2013-01-21T13:30:32Z","abstract_excerpt":"We present a method to construct explicitly L-infinity algebras governing simultaneous deformations of various kinds of algebraic structures and of their morphisms. It is an alternative to the heavy use of the operad machinery of the existing approaches. Our method relies on Voronov's derived bracket construction."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4864","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+cO1OT5NvIVolvO60jt7uUjpYPimv7JDrSHHBpNUqtur0FMIA6UrHDmJKfkyHt31sg+JyURCf29194zSqlZhCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T08:44:06.210592Z"},"content_sha256":"e97dfbae042d01ac25aba5b82b38100456b0753e32d44b0440d934acd3503b37","schema_version":"1.0","event_id":"sha256:e97dfbae042d01ac25aba5b82b38100456b0753e32d44b0440d934acd3503b37"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VBJWQXDMIONHNYYM25P2GXJLKH/bundle.json","state_url":"https://pith.science/pith/VBJWQXDMIONHNYYM25P2GXJLKH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VBJWQXDMIONHNYYM25P2GXJLKH/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-31T08:44:06Z","links":{"resolver":"https://pith.science/pith/VBJWQXDMIONHNYYM25P2GXJLKH","bundle":"https://pith.science/pith/VBJWQXDMIONHNYYM25P2GXJLKH/bundle.json","state":"https://pith.science/pith/VBJWQXDMIONHNYYM25P2GXJLKH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VBJWQXDMIONHNYYM25P2GXJLKH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:VBJWQXDMIONHNYYM25P2GXJLKH","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":"b1c227d3b8a2ffa1ce29924913d8eefa35b8efb84466587d7f5a7db9b286553d","cross_cats_sorted":["math-ph","math.MP","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-01-21T13:30:32Z","title_canon_sha256":"ac7fe2cfe9a48d6219b8c41f4d7b0e698a5abf4a2a0e193ba98a6c712993da50"},"schema_version":"1.0","source":{"id":"1301.4864","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.4864","created_at":"2026-05-18T01:11:44Z"},{"alias_kind":"arxiv_version","alias_value":"1301.4864v2","created_at":"2026-05-18T01:11:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.4864","created_at":"2026-05-18T01:11:44Z"},{"alias_kind":"pith_short_12","alias_value":"VBJWQXDMIONH","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VBJWQXDMIONHNYYM","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VBJWQXDM","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:e97dfbae042d01ac25aba5b82b38100456b0753e32d44b0440d934acd3503b37","target":"graph","created_at":"2026-05-18T01:11:44Z","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 present a method to construct explicitly L-infinity algebras governing simultaneous deformations of various kinds of algebraic structures and of their morphisms. It is an alternative to the heavy use of the operad machinery of the existing approaches. Our method relies on Voronov's derived bracket construction.","authors_text":"Marco Zambon, Yael Fregier","cross_cats":["math-ph","math.MP","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-01-21T13:30:32Z","title":"Simultaneous deformations of algebras and morphisms via derived brackets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4864","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:e0bc38cf5b44d842f40f03e71e95f5205389a60c98d714c3fa9e12ceab8451bd","target":"record","created_at":"2026-05-18T01:11:44Z","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":"b1c227d3b8a2ffa1ce29924913d8eefa35b8efb84466587d7f5a7db9b286553d","cross_cats_sorted":["math-ph","math.MP","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-01-21T13:30:32Z","title_canon_sha256":"ac7fe2cfe9a48d6219b8c41f4d7b0e698a5abf4a2a0e193ba98a6c712993da50"},"schema_version":"1.0","source":{"id":"1301.4864","kind":"arxiv","version":2}},"canonical_sha256":"a853685c6c439a76e30cd75fa35d2b51fea82e7af44ce475846a593104f8bf19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a853685c6c439a76e30cd75fa35d2b51fea82e7af44ce475846a593104f8bf19","first_computed_at":"2026-05-18T01:11:44.053166Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:44.053166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bLiO7uR8xjxaINBnMaJ9cX0VJGrO/TlehYDnYofzGGQ97LQOcJSzHrpas2LtPbKImNeKC84T2lrHszvucxk/Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:44.053540Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.4864","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0bc38cf5b44d842f40f03e71e95f5205389a60c98d714c3fa9e12ceab8451bd","sha256:e97dfbae042d01ac25aba5b82b38100456b0753e32d44b0440d934acd3503b37"],"state_sha256":"9f27a8fe5a68af013851875ac9dbc2434f063a481531951644c00615c3af96fb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w3icdSoLSy84WIT8kh/V2aP9a29BZVxOKpUKfNXSZrz/LDzyRswjdkisAjAh9IeJHD7BSv0cTUuRJP/Q8XokCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T08:44:06.214027Z","bundle_sha256":"5ced279bf78369714a26a6a45a27b55177adc9e26789a8370d99e394d5ff207b"}}