{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:GL4XJBT7G7E3D577E2SAAASIXK","short_pith_number":"pith:GL4XJBT7","schema_version":"1.0","canonical_sha256":"32f974867f37c9b1f7ff26a4000248baa6ea63cf0f9183cd0c4936e3a4118889","source":{"kind":"arxiv","id":"1208.0350","version":1},"attestation_state":"computed","paper":{"title":"A note on the cohomology of Lie algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Murray Gerstenhaber","submitted_at":"2012-08-01T20:08:05Z","abstract_excerpt":"This note presents a general theorem about the cohomology of finite dimensional Lie algebras of arbitrary characteristic. As an application we compute the cohomology of the Borel subalgebra of sl(N)."},"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":"1208.0350","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-08-01T20:08:05Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"ee21797640f179f9f55d4008e21a1c1d9852ff17e98a670f3ce0ffe26ff13ebd","abstract_canon_sha256":"5da6925e83abec02842d8edd0ad7df3c6f77e5fedac4208d842344cd107ca2d3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:34.449921Z","signature_b64":"Tya+wBWXNLBxyG2Ftn5LfXXfkdD4VKo/+eENbPMoYDjUXCdoYG8tcG2goavdBNa3IRgqJG+X2h/IZZtmp0waBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32f974867f37c9b1f7ff26a4000248baa6ea63cf0f9183cd0c4936e3a4118889","last_reissued_at":"2026-05-18T03:49:34.449364Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:34.449364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on the cohomology of Lie algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Murray Gerstenhaber","submitted_at":"2012-08-01T20:08:05Z","abstract_excerpt":"This note presents a general theorem about the cohomology of finite dimensional Lie algebras of arbitrary characteristic. As an application we compute the cohomology of the Borel subalgebra of sl(N)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.0350","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":"1208.0350","created_at":"2026-05-18T03:49:34.449448+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.0350v1","created_at":"2026-05-18T03:49:34.449448+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.0350","created_at":"2026-05-18T03:49:34.449448+00:00"},{"alias_kind":"pith_short_12","alias_value":"GL4XJBT7G7E3","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"GL4XJBT7G7E3D577","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"GL4XJBT7","created_at":"2026-05-18T12:27:06.952714+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/GL4XJBT7G7E3D577E2SAAASIXK","json":"https://pith.science/pith/GL4XJBT7G7E3D577E2SAAASIXK.json","graph_json":"https://pith.science/api/pith-number/GL4XJBT7G7E3D577E2SAAASIXK/graph.json","events_json":"https://pith.science/api/pith-number/GL4XJBT7G7E3D577E2SAAASIXK/events.json","paper":"https://pith.science/paper/GL4XJBT7"},"agent_actions":{"view_html":"https://pith.science/pith/GL4XJBT7G7E3D577E2SAAASIXK","download_json":"https://pith.science/pith/GL4XJBT7G7E3D577E2SAAASIXK.json","view_paper":"https://pith.science/paper/GL4XJBT7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.0350&json=true","fetch_graph":"https://pith.science/api/pith-number/GL4XJBT7G7E3D577E2SAAASIXK/graph.json","fetch_events":"https://pith.science/api/pith-number/GL4XJBT7G7E3D577E2SAAASIXK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GL4XJBT7G7E3D577E2SAAASIXK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GL4XJBT7G7E3D577E2SAAASIXK/action/storage_attestation","attest_author":"https://pith.science/pith/GL4XJBT7G7E3D577E2SAAASIXK/action/author_attestation","sign_citation":"https://pith.science/pith/GL4XJBT7G7E3D577E2SAAASIXK/action/citation_signature","submit_replication":"https://pith.science/pith/GL4XJBT7G7E3D577E2SAAASIXK/action/replication_record"}},"created_at":"2026-05-18T03:49:34.449448+00:00","updated_at":"2026-05-18T03:49:34.449448+00:00"}