{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PC3EXIQU3D2JL3MWV5OXDWEFTO","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":"556ee858bda6301c9ba213121aedb4871fb0cc987e8b2e78374fc5fafd856095","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-01-17T14:20:44Z","title_canon_sha256":"0b0a94043c6e07e52376c78ae75b5ea69a62c2aa9df07ac3fe6439978c41efc2"},"schema_version":"1.0","source":{"id":"1801.05674","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.05674","created_at":"2026-05-18T00:25:40Z"},{"alias_kind":"arxiv_version","alias_value":"1801.05674v1","created_at":"2026-05-18T00:25:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.05674","created_at":"2026-05-18T00:25:40Z"},{"alias_kind":"pith_short_12","alias_value":"PC3EXIQU3D2J","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"PC3EXIQU3D2JL3MW","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"PC3EXIQU","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:c0698c96ce100c672f52c5242b2a8f218c43a10e4a18373629f17f103c42b2a2","target":"graph","created_at":"2026-05-18T00:25:40Z","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":"We conjecture that the injective dimension of the Jacobson radical equals the global dimension for Artin algebras. We provide a proof of this conjecture in case the Artin algebra has finite global dimension and in some other cases.","authors_text":"Rene Marczinzik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-01-17T14:20:44Z","title":"On the injective dimension of the Jacobson radical"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.05674","kind":"arxiv","version":1},"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":"sha256:8a3737c81db49ef48cb00ecc62eedd5d93f4a2c12c97d57846ff8be056967f19","target":"record","created_at":"2026-05-18T00:25:40Z","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":"556ee858bda6301c9ba213121aedb4871fb0cc987e8b2e78374fc5fafd856095","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-01-17T14:20:44Z","title_canon_sha256":"0b0a94043c6e07e52376c78ae75b5ea69a62c2aa9df07ac3fe6439978c41efc2"},"schema_version":"1.0","source":{"id":"1801.05674","kind":"arxiv","version":1}},"canonical_sha256":"78b64ba214d8f495ed96af5d71d8859b82f88309bd6f70d2b013f141e6659ba9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"78b64ba214d8f495ed96af5d71d8859b82f88309bd6f70d2b013f141e6659ba9","first_computed_at":"2026-05-18T00:25:40.460140Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:40.460140Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q0x6G4bFiw7xECz//GV0h33XCHmtVacACsOqT1S1xxLGZa0k54SLFwKm9L6B25vPAZda5b80ffwQmiyRNGRoCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:40.460641Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.05674","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a3737c81db49ef48cb00ecc62eedd5d93f4a2c12c97d57846ff8be056967f19","sha256:c0698c96ce100c672f52c5242b2a8f218c43a10e4a18373629f17f103c42b2a2"],"state_sha256":"7c518c0c895d4c45a797175d62615763631dbb6054d32f0b6e2e1419e88cc4cb"}