{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:IFSF7J4LJ2KINAKE6VMMLC3ZO7","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":"515d306628612e9dbc9ebc1322d83fcd4cc3e9f9c6120c69f6f54624835bb67e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-09-05T10:24:44Z","title_canon_sha256":"5dbbae5bb8195b2bb891b0a7451d4af66f385dccf999ee0d9f40df0f5218f0b9"},"schema_version":"1.0","source":{"id":"1409.1729","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.1729","created_at":"2026-05-18T01:18:10Z"},{"alias_kind":"arxiv_version","alias_value":"1409.1729v2","created_at":"2026-05-18T01:18:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.1729","created_at":"2026-05-18T01:18:10Z"},{"alias_kind":"pith_short_12","alias_value":"IFSF7J4LJ2KI","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IFSF7J4LJ2KINAKE","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IFSF7J4L","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:bcef94c4dc533fe20d48ad39ba41f05632c7ea4a42e9a0af6c8f75e88b8b9054","target":"graph","created_at":"2026-05-18T01:18:10Z","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":"Non-abelian tensor product of Hom-Lie algebras is constructed and studied. This tensor product is used to describe universal ($\\alpha$-)central extensions of Hom-Lie algebras and to establish a relation between cyclic and Milnor cyclic homologies of Hom-associative algebras satisfying certain additional condition.","authors_text":"E. Khmaladze, J. M. Casas, N. Pacheco Rego","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-09-05T10:24:44Z","title":"A non-abelian tensor product of Hom-Lie algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.1729","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:fb27315fa71dbff37cee5dbdbff0575fa4976145733e74b21692a4bd3cf1dda7","target":"record","created_at":"2026-05-18T01:18:10Z","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":"515d306628612e9dbc9ebc1322d83fcd4cc3e9f9c6120c69f6f54624835bb67e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-09-05T10:24:44Z","title_canon_sha256":"5dbbae5bb8195b2bb891b0a7451d4af66f385dccf999ee0d9f40df0f5218f0b9"},"schema_version":"1.0","source":{"id":"1409.1729","kind":"arxiv","version":2}},"canonical_sha256":"41645fa78b4e94868144f558c58b7977f134c1c126bc390c474072cf6c881767","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41645fa78b4e94868144f558c58b7977f134c1c126bc390c474072cf6c881767","first_computed_at":"2026-05-18T01:18:10.269736Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:10.269736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uQCicLz5lnaNzkIpAe3OrFVP+oQ2NzUFRZp6NpQQIf5O8Pra26C3rZklq4/KJ2ONcoKwv7HDe4TALJPHytsZAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:10.270168Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.1729","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb27315fa71dbff37cee5dbdbff0575fa4976145733e74b21692a4bd3cf1dda7","sha256:bcef94c4dc533fe20d48ad39ba41f05632c7ea4a42e9a0af6c8f75e88b8b9054"],"state_sha256":"5d6b1ce00f1021dc8007fb87321990a5c4aabc218490bfcccbbe2d9c845f8394"}