{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:WB7JZ3CYZA4TV7L6BZCMSEE3KQ","short_pith_number":"pith:WB7JZ3CY","schema_version":"1.0","canonical_sha256":"b07e9cec58c8393afd7e0e44c9109b540827484f8bebfc64b43563f3d8520441","source":{"kind":"arxiv","id":"2303.12906","version":1},"attestation_state":"computed","paper":{"title":"Cohomology of compatible BiHom-Lie algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Asif Sania, Basdouri Imed, Bouzid Mosbahi, Nacib Saber","submitted_at":"2023-02-07T23:58:31Z","abstract_excerpt":"This paper defines compatible BiHom-Lie algebras by twisting the compatible Lie algebras by two linear commuting maps. We show the characterization of compatible BiHom-Lie algebra as a Maurer-Cartan element in a suitable bidifferential graded Lie algebra. We also define a cohomology theory for compatible BiHom-Lie algebras."},"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":"2303.12906","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2023-02-07T23:58:31Z","cross_cats_sorted":[],"title_canon_sha256":"ba8ef03ee1f6e3ab8a46973c14021e19cb24ff1e57701556f71a8a301f4ab545","abstract_canon_sha256":"40e33434fbd822f9bfdf6a8c3c35d7e304dd81b64998aca38d6f80898b2fce28"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:53:55.206798Z","signature_b64":"nteNcc8aoS5iTlH19cxzbhj48OxoiNrMSBTFMCENnsuykY+uqwye+2/q786X4/zbzDddTTMJgFpAAR5Blh9sAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b07e9cec58c8393afd7e0e44c9109b540827484f8bebfc64b43563f3d8520441","last_reissued_at":"2026-07-05T05:53:55.206261Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:53:55.206261Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cohomology of compatible BiHom-Lie algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Asif Sania, Basdouri Imed, Bouzid Mosbahi, Nacib Saber","submitted_at":"2023-02-07T23:58:31Z","abstract_excerpt":"This paper defines compatible BiHom-Lie algebras by twisting the compatible Lie algebras by two linear commuting maps. We show the characterization of compatible BiHom-Lie algebra as a Maurer-Cartan element in a suitable bidifferential graded Lie algebra. We also define a cohomology theory for compatible BiHom-Lie algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.12906","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2303.12906/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2303.12906","created_at":"2026-07-05T05:53:55.206338+00:00"},{"alias_kind":"arxiv_version","alias_value":"2303.12906v1","created_at":"2026-07-05T05:53:55.206338+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.12906","created_at":"2026-07-05T05:53:55.206338+00:00"},{"alias_kind":"pith_short_12","alias_value":"WB7JZ3CYZA4T","created_at":"2026-07-05T05:53:55.206338+00:00"},{"alias_kind":"pith_short_16","alias_value":"WB7JZ3CYZA4TV7L6","created_at":"2026-07-05T05:53:55.206338+00:00"},{"alias_kind":"pith_short_8","alias_value":"WB7JZ3CY","created_at":"2026-07-05T05:53:55.206338+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.01500","citing_title":"Computational Approaches to Derivations and Automorphism Groups of Associative Algebras","ref_index":11,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WB7JZ3CYZA4TV7L6BZCMSEE3KQ","json":"https://pith.science/pith/WB7JZ3CYZA4TV7L6BZCMSEE3KQ.json","graph_json":"https://pith.science/api/pith-number/WB7JZ3CYZA4TV7L6BZCMSEE3KQ/graph.json","events_json":"https://pith.science/api/pith-number/WB7JZ3CYZA4TV7L6BZCMSEE3KQ/events.json","paper":"https://pith.science/paper/WB7JZ3CY"},"agent_actions":{"view_html":"https://pith.science/pith/WB7JZ3CYZA4TV7L6BZCMSEE3KQ","download_json":"https://pith.science/pith/WB7JZ3CYZA4TV7L6BZCMSEE3KQ.json","view_paper":"https://pith.science/paper/WB7JZ3CY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2303.12906&json=true","fetch_graph":"https://pith.science/api/pith-number/WB7JZ3CYZA4TV7L6BZCMSEE3KQ/graph.json","fetch_events":"https://pith.science/api/pith-number/WB7JZ3CYZA4TV7L6BZCMSEE3KQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WB7JZ3CYZA4TV7L6BZCMSEE3KQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WB7JZ3CYZA4TV7L6BZCMSEE3KQ/action/storage_attestation","attest_author":"https://pith.science/pith/WB7JZ3CYZA4TV7L6BZCMSEE3KQ/action/author_attestation","sign_citation":"https://pith.science/pith/WB7JZ3CYZA4TV7L6BZCMSEE3KQ/action/citation_signature","submit_replication":"https://pith.science/pith/WB7JZ3CYZA4TV7L6BZCMSEE3KQ/action/replication_record"}},"created_at":"2026-07-05T05:53:55.206338+00:00","updated_at":"2026-07-05T05:53:55.206338+00:00"}