{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:UJRMXGJ7S5LT6FXGFH6V2IZE57","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":"d67311402af234f4bc9964171a084e7cdbd57a3c5203e7ffa1025da441cc3ab3","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-06-21T00:13:52Z","title_canon_sha256":"cb1cb602da4eada29ce2021d68cead35e1912b274c05f80fa2628807afdd106c"},"schema_version":"1.0","source":{"id":"1506.06306","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.06306","created_at":"2026-05-18T01:41:45Z"},{"alias_kind":"arxiv_version","alias_value":"1506.06306v1","created_at":"2026-05-18T01:41:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06306","created_at":"2026-05-18T01:41:45Z"},{"alias_kind":"pith_short_12","alias_value":"UJRMXGJ7S5LT","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"UJRMXGJ7S5LT6FXG","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"UJRMXGJ7","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:6189c4e556ef7cd3ebb819b1ee29d0f2c353a711aa1010450915c8fa0a131e75","target":"graph","created_at":"2026-05-18T01:41:45Z","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 aim of this paper is to review the deformation theory of $n$-Lie algebras. We summarize the 1-parameter formal deformation theory and provide a generalized approach using any unital commutative associative algebra as a deformation base. Moreover, we discuss degenerations and quantization of $n$-Lie algebras.","authors_text":"Abdenacer Makhlouf","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-06-21T00:13:52Z","title":"On Deformations of n-Lie algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06306","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":"sha256:57f04e9e86082ae5416ffcf1415b67ca512a827e6cb5c2c7c6c5634ce18995d8","target":"record","created_at":"2026-05-18T01:41:45Z","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":"d67311402af234f4bc9964171a084e7cdbd57a3c5203e7ffa1025da441cc3ab3","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-06-21T00:13:52Z","title_canon_sha256":"cb1cb602da4eada29ce2021d68cead35e1912b274c05f80fa2628807afdd106c"},"schema_version":"1.0","source":{"id":"1506.06306","kind":"arxiv","version":1}},"canonical_sha256":"a262cb993f97573f16e629fd5d2324eff6a5945ffad9170707e750ef13bc3759","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a262cb993f97573f16e629fd5d2324eff6a5945ffad9170707e750ef13bc3759","first_computed_at":"2026-05-18T01:41:45.540679Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:45.540679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JhZrq2J+eWEpC1hg47riayv89lRghc5Ju5OajEtgL+TEDbjKOWbY6qTbEWiW256btG6oJgALarMfmPWpe8hSBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:45.541340Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.06306","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57f04e9e86082ae5416ffcf1415b67ca512a827e6cb5c2c7c6c5634ce18995d8","sha256:6189c4e556ef7cd3ebb819b1ee29d0f2c353a711aa1010450915c8fa0a131e75"],"state_sha256":"f5ccc1479ce0bbf182cf08e5a7fc529c35319f2f7572f3570d49e929230290e9"}