{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:L6SHQQSYW4GGVPCTOPANKTZUZT","short_pith_number":"pith:L6SHQQSY","canonical_record":{"source":{"id":"1807.08134","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-07-21T11:57:36Z","cross_cats_sorted":[],"title_canon_sha256":"ca34b6a06ce3f13c5aeac5032864b6e6a4eee9b69a95094e2a5d81b915bbbaa5","abstract_canon_sha256":"d0e6b8618ced11243b495bac7b152a52a232272d6b5be5150fd74c7cd97f00fc"},"schema_version":"1.0"},"canonical_sha256":"5fa4784258b70c6abc5373c0d54f34ccdec0a2cbaa7544df5ca2351ee3020d63","source":{"kind":"arxiv","id":"1807.08134","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.08134","created_at":"2026-05-18T00:10:09Z"},{"alias_kind":"arxiv_version","alias_value":"1807.08134v1","created_at":"2026-05-18T00:10:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.08134","created_at":"2026-05-18T00:10:09Z"},{"alias_kind":"pith_short_12","alias_value":"L6SHQQSYW4GG","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"L6SHQQSYW4GGVPCT","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"L6SHQQSY","created_at":"2026-05-18T12:32:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:L6SHQQSYW4GGVPCTOPANKTZUZT","target":"record","payload":{"canonical_record":{"source":{"id":"1807.08134","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-07-21T11:57:36Z","cross_cats_sorted":[],"title_canon_sha256":"ca34b6a06ce3f13c5aeac5032864b6e6a4eee9b69a95094e2a5d81b915bbbaa5","abstract_canon_sha256":"d0e6b8618ced11243b495bac7b152a52a232272d6b5be5150fd74c7cd97f00fc"},"schema_version":"1.0"},"canonical_sha256":"5fa4784258b70c6abc5373c0d54f34ccdec0a2cbaa7544df5ca2351ee3020d63","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:09.187031Z","signature_b64":"l0e+aKSychqL5XbmzJhS07KbWsap8UxzBjHFYpGjKDqdCrMejySpkvh5e8K5k75EbxkcHxZyNdrpjNPeCHd4AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5fa4784258b70c6abc5373c0d54f34ccdec0a2cbaa7544df5ca2351ee3020d63","last_reissued_at":"2026-05-18T00:10:09.186244Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:09.186244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.08134","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:10:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ww1aS+7a8HRwskduYZbWNo9/csS/88DV5F+keKie3RHSTZU8opzLToKx5ldXcv6AhyD1CHY8Iuim1Fnv4Gx+CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T02:07:15.765830Z"},"content_sha256":"de8752e6a0096642e797b2a8bdfceff2aedca68d655d2405559413aa979f4c2d","schema_version":"1.0","event_id":"sha256:de8752e6a0096642e797b2a8bdfceff2aedca68d655d2405559413aa979f4c2d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:L6SHQQSYW4GGVPCTOPANKTZUZT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Infinis morphismes de Leibniz pour les crochets d\\'eriv\\'es","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Camille Laurent-Gengoux, Mohsen Masmoudi","submitted_at":"2018-07-21T11:57:36Z","abstract_excerpt":"The derived bracket of a Maurer-Cartan element in a differential graded Lie algebra (DGLA) is well-known to define a differential graded Leibniz algebra. It is also well-known that a Lie infinity morphism between DGLAs maps a Maurer-Cartan element to a Maurer-Cartan element. Given a Lie-infinity morphism, a Maurer-element and its image, we show that both derived differential graded Leibniz algebras are related by a Leibniz-infinity morphism, and we construct it explicitely. As an application, we recover a well-known formula of Dominique Manchon about the commutator of the star-product.\n  Keywo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.08134","kind":"arxiv","version":1},"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":"2026-05-18T00:10:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FK/oe/nxl1y+wfIjw9t33J+KBsET5kk8uaMecCKZpjislNiGlSmdHq6995g/uFx9Kx1uZoBhMaIBJlIDlsixDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T02:07:15.766170Z"},"content_sha256":"69b8c5d84b1386051e793c3ca5d3985083e79118869d4363d09f9b0fb4d7699e","schema_version":"1.0","event_id":"sha256:69b8c5d84b1386051e793c3ca5d3985083e79118869d4363d09f9b0fb4d7699e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L6SHQQSYW4GGVPCTOPANKTZUZT/bundle.json","state_url":"https://pith.science/pith/L6SHQQSYW4GGVPCTOPANKTZUZT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L6SHQQSYW4GGVPCTOPANKTZUZT/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":"2026-06-27T02:07:15Z","links":{"resolver":"https://pith.science/pith/L6SHQQSYW4GGVPCTOPANKTZUZT","bundle":"https://pith.science/pith/L6SHQQSYW4GGVPCTOPANKTZUZT/bundle.json","state":"https://pith.science/pith/L6SHQQSYW4GGVPCTOPANKTZUZT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L6SHQQSYW4GGVPCTOPANKTZUZT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:L6SHQQSYW4GGVPCTOPANKTZUZT","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":"d0e6b8618ced11243b495bac7b152a52a232272d6b5be5150fd74c7cd97f00fc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-07-21T11:57:36Z","title_canon_sha256":"ca34b6a06ce3f13c5aeac5032864b6e6a4eee9b69a95094e2a5d81b915bbbaa5"},"schema_version":"1.0","source":{"id":"1807.08134","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.08134","created_at":"2026-05-18T00:10:09Z"},{"alias_kind":"arxiv_version","alias_value":"1807.08134v1","created_at":"2026-05-18T00:10:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.08134","created_at":"2026-05-18T00:10:09Z"},{"alias_kind":"pith_short_12","alias_value":"L6SHQQSYW4GG","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"L6SHQQSYW4GGVPCT","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"L6SHQQSY","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:69b8c5d84b1386051e793c3ca5d3985083e79118869d4363d09f9b0fb4d7699e","target":"graph","created_at":"2026-05-18T00:10:09Z","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":"The derived bracket of a Maurer-Cartan element in a differential graded Lie algebra (DGLA) is well-known to define a differential graded Leibniz algebra. It is also well-known that a Lie infinity morphism between DGLAs maps a Maurer-Cartan element to a Maurer-Cartan element. Given a Lie-infinity morphism, a Maurer-element and its image, we show that both derived differential graded Leibniz algebras are related by a Leibniz-infinity morphism, and we construct it explicitely. As an application, we recover a well-known formula of Dominique Manchon about the commutator of the star-product.\n  Keywo","authors_text":"Camille Laurent-Gengoux, Mohsen Masmoudi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-07-21T11:57:36Z","title":"Infinis morphismes de Leibniz pour les crochets d\\'eriv\\'es"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.08134","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:de8752e6a0096642e797b2a8bdfceff2aedca68d655d2405559413aa979f4c2d","target":"record","created_at":"2026-05-18T00:10:09Z","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":"d0e6b8618ced11243b495bac7b152a52a232272d6b5be5150fd74c7cd97f00fc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-07-21T11:57:36Z","title_canon_sha256":"ca34b6a06ce3f13c5aeac5032864b6e6a4eee9b69a95094e2a5d81b915bbbaa5"},"schema_version":"1.0","source":{"id":"1807.08134","kind":"arxiv","version":1}},"canonical_sha256":"5fa4784258b70c6abc5373c0d54f34ccdec0a2cbaa7544df5ca2351ee3020d63","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5fa4784258b70c6abc5373c0d54f34ccdec0a2cbaa7544df5ca2351ee3020d63","first_computed_at":"2026-05-18T00:10:09.186244Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:09.186244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l0e+aKSychqL5XbmzJhS07KbWsap8UxzBjHFYpGjKDqdCrMejySpkvh5e8K5k75EbxkcHxZyNdrpjNPeCHd4AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:09.187031Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.08134","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de8752e6a0096642e797b2a8bdfceff2aedca68d655d2405559413aa979f4c2d","sha256:69b8c5d84b1386051e793c3ca5d3985083e79118869d4363d09f9b0fb4d7699e"],"state_sha256":"1a3b7cc47f815576d7366c2a41d68025c6aa6af13b3e885bb4d4c80d01acde56"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0lRoNE6+MMOw1okyGQBeh6Y1CdYtYsVU7jppPrjQG61ulzTGGpvRj6jfSOFZdwYHbRqcl3KcyCzmN39pWuTtDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T02:07:15.768004Z","bundle_sha256":"40d0c8b12e4b4cfd14932ba12e42c5336385024639724c3ad8934bd5958eb733"}}