{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:3EH5ZF7XDPL7LKFLY4D55PQLYJ","short_pith_number":"pith:3EH5ZF7X","schema_version":"1.0","canonical_sha256":"d90fdc97f71bd7f5a8abc707debe0bc25c18d30a18473effd35677240a8de4f1","source":{"kind":"arxiv","id":"1301.5289","version":1},"attestation_state":"computed","paper":{"title":"Split strongly abelian p-chief factors and first degree restricted cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.RA","authors_text":"J\\\"org Feldvoss, Salvatore Siciliano, Thomas Weigel","submitted_at":"2013-01-22T19:22:47Z","abstract_excerpt":"In this paper we investigate the relation between the multiplicities of split strongly abelian p-chief factors of finite-dimensional restricted Lie algebras and first degree restricted cohomology. As an application we obtain a characterization of solvable restricted Lie algebras in terms of the multiplicities of split strongly abelian p-chief factors. Moreover, we derive some results in the representation theory of restricted Lie algebras related to the principal block and the projective cover of the trivial irreducible module of a finite-dimensional restricted Lie algebra. In particular, we o"},"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":"1301.5289","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-01-22T19:22:47Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"1b2a8135f95332cca40d86e20b5bb881b19719d7372e9e62961b339aad4ea44d","abstract_canon_sha256":"c51fcf10ad115fb8a3c6b230dbf29baf7e0f8e72a5b666ff9f9f1f425c43e16f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:10.109806Z","signature_b64":"EM+vte2bLAj9xxzOycqv09woFVEDR7t4oqRJrx8O56aZvO+fZHDQG55zcaIar24sF4sjV8+FLgBQwDug6Y0pCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d90fdc97f71bd7f5a8abc707debe0bc25c18d30a18473effd35677240a8de4f1","last_reissued_at":"2026-05-18T02:48:10.109246Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:10.109246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Split strongly abelian p-chief factors and first degree restricted cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.RA","authors_text":"J\\\"org Feldvoss, Salvatore Siciliano, Thomas Weigel","submitted_at":"2013-01-22T19:22:47Z","abstract_excerpt":"In this paper we investigate the relation between the multiplicities of split strongly abelian p-chief factors of finite-dimensional restricted Lie algebras and first degree restricted cohomology. As an application we obtain a characterization of solvable restricted Lie algebras in terms of the multiplicities of split strongly abelian p-chief factors. Moreover, we derive some results in the representation theory of restricted Lie algebras related to the principal block and the projective cover of the trivial irreducible module of a finite-dimensional restricted Lie algebra. In particular, we o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.5289","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":"1301.5289","created_at":"2026-05-18T02:48:10.109331+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.5289v1","created_at":"2026-05-18T02:48:10.109331+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.5289","created_at":"2026-05-18T02:48:10.109331+00:00"},{"alias_kind":"pith_short_12","alias_value":"3EH5ZF7XDPL7","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_16","alias_value":"3EH5ZF7XDPL7LKFL","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_8","alias_value":"3EH5ZF7X","created_at":"2026-05-18T12:27:32.513160+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/3EH5ZF7XDPL7LKFLY4D55PQLYJ","json":"https://pith.science/pith/3EH5ZF7XDPL7LKFLY4D55PQLYJ.json","graph_json":"https://pith.science/api/pith-number/3EH5ZF7XDPL7LKFLY4D55PQLYJ/graph.json","events_json":"https://pith.science/api/pith-number/3EH5ZF7XDPL7LKFLY4D55PQLYJ/events.json","paper":"https://pith.science/paper/3EH5ZF7X"},"agent_actions":{"view_html":"https://pith.science/pith/3EH5ZF7XDPL7LKFLY4D55PQLYJ","download_json":"https://pith.science/pith/3EH5ZF7XDPL7LKFLY4D55PQLYJ.json","view_paper":"https://pith.science/paper/3EH5ZF7X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.5289&json=true","fetch_graph":"https://pith.science/api/pith-number/3EH5ZF7XDPL7LKFLY4D55PQLYJ/graph.json","fetch_events":"https://pith.science/api/pith-number/3EH5ZF7XDPL7LKFLY4D55PQLYJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3EH5ZF7XDPL7LKFLY4D55PQLYJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3EH5ZF7XDPL7LKFLY4D55PQLYJ/action/storage_attestation","attest_author":"https://pith.science/pith/3EH5ZF7XDPL7LKFLY4D55PQLYJ/action/author_attestation","sign_citation":"https://pith.science/pith/3EH5ZF7XDPL7LKFLY4D55PQLYJ/action/citation_signature","submit_replication":"https://pith.science/pith/3EH5ZF7XDPL7LKFLY4D55PQLYJ/action/replication_record"}},"created_at":"2026-05-18T02:48:10.109331+00:00","updated_at":"2026-05-18T02:48:10.109331+00:00"}