{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:AI23JOJP3QVDKBM2YKM3WDP7XO","short_pith_number":"pith:AI23JOJP","schema_version":"1.0","canonical_sha256":"0235b4b92fdc2a35059ac299bb0dffbba1a2c01e5273f8545a8e6f9871a0bf0c","source":{"kind":"arxiv","id":"1709.06164","version":1},"attestation_state":"computed","paper":{"title":"Enveloping algebras of color hom-Lie algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.QA","authors_text":"A. R. Armakan, M. R. Farhangdoost, S. Silvestrov","submitted_at":"2017-09-18T20:44:26Z","abstract_excerpt":"In this paper the universal enveloping algebra of color hom-Lie algebras is studied. A construction of the free involutive hom-associative color algebra on a hom-module is described and applied to obtain the universal enveloping algebra of an involutive hom-Lie color algebra. Finally, the construction is applied to obtain the well-known Poincar{\\'e}-Birkhoff-Witt theorem for Lie algebras to the enveloping algebra of an involutive color hom-Lie algebra."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1709.06164","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-09-18T20:44:26Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"82edd60fb0e7c69a7bc84d5e9dd097fdbf2c1d9c88e2e1e990fbd6fcf7d68852","abstract_canon_sha256":"6e0be221a9b063dc944aaffe61d0fd10d12a35819282451403325c563836930f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:45.925110Z","signature_b64":"uJ90mTAYl8en3jVKnCNvHV8QHiAzoDzHOMUYWukKSfAEN/BKkoT+0s+n4X66XdnWwvwHWBhJYPpcth2udCBkCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0235b4b92fdc2a35059ac299bb0dffbba1a2c01e5273f8545a8e6f9871a0bf0c","last_reissued_at":"2026-05-18T00:34:45.924341Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:45.924341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Enveloping algebras of color hom-Lie algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.QA","authors_text":"A. R. Armakan, M. R. Farhangdoost, S. Silvestrov","submitted_at":"2017-09-18T20:44:26Z","abstract_excerpt":"In this paper the universal enveloping algebra of color hom-Lie algebras is studied. A construction of the free involutive hom-associative color algebra on a hom-module is described and applied to obtain the universal enveloping algebra of an involutive hom-Lie color algebra. Finally, the construction is applied to obtain the well-known Poincar{\\'e}-Birkhoff-Witt theorem for Lie algebras to the enveloping algebra of an involutive color hom-Lie algebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.06164","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1709.06164","created_at":"2026-05-18T00:34:45.924461+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.06164v1","created_at":"2026-05-18T00:34:45.924461+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.06164","created_at":"2026-05-18T00:34:45.924461+00:00"},{"alias_kind":"pith_short_12","alias_value":"AI23JOJP3QVD","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_16","alias_value":"AI23JOJP3QVDKBM2","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_8","alias_value":"AI23JOJP","created_at":"2026-05-18T12:31:05.417338+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AI23JOJP3QVDKBM2YKM3WDP7XO","json":"https://pith.science/pith/AI23JOJP3QVDKBM2YKM3WDP7XO.json","graph_json":"https://pith.science/api/pith-number/AI23JOJP3QVDKBM2YKM3WDP7XO/graph.json","events_json":"https://pith.science/api/pith-number/AI23JOJP3QVDKBM2YKM3WDP7XO/events.json","paper":"https://pith.science/paper/AI23JOJP"},"agent_actions":{"view_html":"https://pith.science/pith/AI23JOJP3QVDKBM2YKM3WDP7XO","download_json":"https://pith.science/pith/AI23JOJP3QVDKBM2YKM3WDP7XO.json","view_paper":"https://pith.science/paper/AI23JOJP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.06164&json=true","fetch_graph":"https://pith.science/api/pith-number/AI23JOJP3QVDKBM2YKM3WDP7XO/graph.json","fetch_events":"https://pith.science/api/pith-number/AI23JOJP3QVDKBM2YKM3WDP7XO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AI23JOJP3QVDKBM2YKM3WDP7XO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AI23JOJP3QVDKBM2YKM3WDP7XO/action/storage_attestation","attest_author":"https://pith.science/pith/AI23JOJP3QVDKBM2YKM3WDP7XO/action/author_attestation","sign_citation":"https://pith.science/pith/AI23JOJP3QVDKBM2YKM3WDP7XO/action/citation_signature","submit_replication":"https://pith.science/pith/AI23JOJP3QVDKBM2YKM3WDP7XO/action/replication_record"}},"created_at":"2026-05-18T00:34:45.924461+00:00","updated_at":"2026-05-18T00:34:45.924461+00:00"}