{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:OY7ZZINCU2RNTSGY2QEZBBX5SF","short_pith_number":"pith:OY7ZZINC","canonical_record":{"source":{"id":"1804.10387","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-04-27T08:28:19Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d8d0618531185547eb5e19235f64bde5d0cd3489af0b928c0554d14865763703","abstract_canon_sha256":"3efcfd6da15559300299b6e54b9575ab3f4a12681c75f89df8d0e8f417be327e"},"schema_version":"1.0"},"canonical_sha256":"763f9ca1a2a6a2d9c8d8d4099086fd914cfb5ddd816b5d10aa4a8de971a9f5df","source":{"kind":"arxiv","id":"1804.10387","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.10387","created_at":"2026-05-18T00:09:25Z"},{"alias_kind":"arxiv_version","alias_value":"1804.10387v1","created_at":"2026-05-18T00:09:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.10387","created_at":"2026-05-18T00:09:25Z"},{"alias_kind":"pith_short_12","alias_value":"OY7ZZINCU2RN","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OY7ZZINCU2RNTSGY","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OY7ZZINC","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:OY7ZZINCU2RNTSGY2QEZBBX5SF","target":"record","payload":{"canonical_record":{"source":{"id":"1804.10387","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-04-27T08:28:19Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d8d0618531185547eb5e19235f64bde5d0cd3489af0b928c0554d14865763703","abstract_canon_sha256":"3efcfd6da15559300299b6e54b9575ab3f4a12681c75f89df8d0e8f417be327e"},"schema_version":"1.0"},"canonical_sha256":"763f9ca1a2a6a2d9c8d8d4099086fd914cfb5ddd816b5d10aa4a8de971a9f5df","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:25.002908Z","signature_b64":"ypwjZTC8YnVhgI0/HKlOAfbHm4g+ieAHWta+mBMpDFFb/IuPoz6EKAsxPBa+8BTM2RIiyNosfandDQjV9t7RBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"763f9ca1a2a6a2d9c8d8d4099086fd914cfb5ddd816b5d10aa4a8de971a9f5df","last_reissued_at":"2026-05-18T00:09:25.002194Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:25.002194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.10387","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":"2026-05-18T00:09:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pm1iaidaUbct6L02CKtMQ+Iba+9nS8V6QIs+KjBBS6kuV/BLfaMmCrBFqJrQP0epGU/0Kzi3GBkxJgInRQMtCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T23:05:54.443889Z"},"content_sha256":"1d6d2d9537058d47d2290ec667e43efc1a17993634208e79bf997a46f8742d69","schema_version":"1.0","event_id":"sha256:1d6d2d9537058d47d2290ec667e43efc1a17993634208e79bf997a46f8742d69"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:OY7ZZINCU2RNTSGY2QEZBBX5SF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cohomology and Deformations of $n$-Lie algebra morphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.RA","authors_text":"A. Arfa, A. Makhlouf, N. Ben Fraj","submitted_at":"2018-04-27T08:28:19Z","abstract_excerpt":"The study of $n$-Lie algebras which are natural generalization of Lie algebras is motivated by Nambu Mechanics and recent developments in String Theory and M-branes. The purpose of this paper is to define cohomology complexes and study deformation theory of $n$-Lie algebra morphisms. We discuss infinitesimal deformations, equivalent deformations and obstructions. Moreover, we provide various examples."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.10387","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":"2026-05-18T00:09:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"reLbDv5EcE6wx4B5GxmhxUBbGFL8J8en1PvMRekP8HV9UVRwucnnkxvcta2TTLfRfJM/9H9VZfiB8hmKoZqMDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T23:05:54.444576Z"},"content_sha256":"09257cfd3dd8dd2a6fec7bbaf6a41c3dc7656dd53f0fba5cceadbe52ab1ab353","schema_version":"1.0","event_id":"sha256:09257cfd3dd8dd2a6fec7bbaf6a41c3dc7656dd53f0fba5cceadbe52ab1ab353"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OY7ZZINCU2RNTSGY2QEZBBX5SF/bundle.json","state_url":"https://pith.science/pith/OY7ZZINCU2RNTSGY2QEZBBX5SF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OY7ZZINCU2RNTSGY2QEZBBX5SF/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":"2026-06-07T23:05:54Z","links":{"resolver":"https://pith.science/pith/OY7ZZINCU2RNTSGY2QEZBBX5SF","bundle":"https://pith.science/pith/OY7ZZINCU2RNTSGY2QEZBBX5SF/bundle.json","state":"https://pith.science/pith/OY7ZZINCU2RNTSGY2QEZBBX5SF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OY7ZZINCU2RNTSGY2QEZBBX5SF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OY7ZZINCU2RNTSGY2QEZBBX5SF","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":"3efcfd6da15559300299b6e54b9575ab3f4a12681c75f89df8d0e8f417be327e","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-04-27T08:28:19Z","title_canon_sha256":"d8d0618531185547eb5e19235f64bde5d0cd3489af0b928c0554d14865763703"},"schema_version":"1.0","source":{"id":"1804.10387","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.10387","created_at":"2026-05-18T00:09:25Z"},{"alias_kind":"arxiv_version","alias_value":"1804.10387v1","created_at":"2026-05-18T00:09:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.10387","created_at":"2026-05-18T00:09:25Z"},{"alias_kind":"pith_short_12","alias_value":"OY7ZZINCU2RN","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OY7ZZINCU2RNTSGY","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OY7ZZINC","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:09257cfd3dd8dd2a6fec7bbaf6a41c3dc7656dd53f0fba5cceadbe52ab1ab353","target":"graph","created_at":"2026-05-18T00:09:25Z","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 study of $n$-Lie algebras which are natural generalization of Lie algebras is motivated by Nambu Mechanics and recent developments in String Theory and M-branes. The purpose of this paper is to define cohomology complexes and study deformation theory of $n$-Lie algebra morphisms. We discuss infinitesimal deformations, equivalent deformations and obstructions. Moreover, we provide various examples.","authors_text":"A. Arfa, A. Makhlouf, N. Ben Fraj","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-04-27T08:28:19Z","title":"Cohomology and Deformations of $n$-Lie algebra morphisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.10387","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":"sha256:1d6d2d9537058d47d2290ec667e43efc1a17993634208e79bf997a46f8742d69","target":"record","created_at":"2026-05-18T00:09:25Z","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":"3efcfd6da15559300299b6e54b9575ab3f4a12681c75f89df8d0e8f417be327e","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-04-27T08:28:19Z","title_canon_sha256":"d8d0618531185547eb5e19235f64bde5d0cd3489af0b928c0554d14865763703"},"schema_version":"1.0","source":{"id":"1804.10387","kind":"arxiv","version":1}},"canonical_sha256":"763f9ca1a2a6a2d9c8d8d4099086fd914cfb5ddd816b5d10aa4a8de971a9f5df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"763f9ca1a2a6a2d9c8d8d4099086fd914cfb5ddd816b5d10aa4a8de971a9f5df","first_computed_at":"2026-05-18T00:09:25.002194Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:25.002194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ypwjZTC8YnVhgI0/HKlOAfbHm4g+ieAHWta+mBMpDFFb/IuPoz6EKAsxPBa+8BTM2RIiyNosfandDQjV9t7RBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:25.002908Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.10387","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d6d2d9537058d47d2290ec667e43efc1a17993634208e79bf997a46f8742d69","sha256:09257cfd3dd8dd2a6fec7bbaf6a41c3dc7656dd53f0fba5cceadbe52ab1ab353"],"state_sha256":"ce62d378283322b9f3af31a0cbb24fa2c4dc605d101d685278a7fcbe63378ff8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ndg5o3brTVymGcqfVFXZZYEwQtR4QMPE171SJ4puNT+r9FX4RA4Pm2lxcAFTwwa6saPmq98tPD86S/VXCqWCCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T23:05:54.448487Z","bundle_sha256":"70b07495dc0232ed4826aef2a459b9c0deee969e24023600840e289aa0da97b2"}}