{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BDCSOPTSYF7YCRDWJ3FTNY2IXA","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":"a87a0ef82811fbcb4e5fe07901fc8aa0483a0a6332bb2cebaa7d36f67793d467","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-02-18T17:37:31Z","title_canon_sha256":"f4f9bb28c827e0958fd7eb640302e17dca043e27892ca632ebd094f849972d55"},"schema_version":"1.0","source":{"id":"1402.4411","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.4411","created_at":"2026-05-18T02:32:54Z"},{"alias_kind":"arxiv_version","alias_value":"1402.4411v2","created_at":"2026-05-18T02:32:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4411","created_at":"2026-05-18T02:32:54Z"},{"alias_kind":"pith_short_12","alias_value":"BDCSOPTSYF7Y","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BDCSOPTSYF7YCRDW","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BDCSOPTS","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:1eb567e44bf78e01f634c158deed97ab48df0a7634346f99d0ff2fd41ad983ae","target":"graph","created_at":"2026-05-18T02:32:54Z","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 characterize $C^*$-algebras and $C^*$-modules such that every maximal right ideal (resp. right submodule) is algebraically finitely generated. In particular, $C^*$-algebras satisfy the Dales--\\.Zelazko conjecture.","authors_text":"David P. Blecher, Tomasz Kania","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-02-18T17:37:31Z","title":"Finite generation in $C^\\ast$-algebras and Hilbert $C^\\ast$-modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4411","kind":"arxiv","version":2},"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":"sha256:46d2f1b862e0c03165b7c1d89318f0de2fca0036d4f2b0d16c6751137907e763","target":"record","created_at":"2026-05-18T02:32:54Z","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":"a87a0ef82811fbcb4e5fe07901fc8aa0483a0a6332bb2cebaa7d36f67793d467","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-02-18T17:37:31Z","title_canon_sha256":"f4f9bb28c827e0958fd7eb640302e17dca043e27892ca632ebd094f849972d55"},"schema_version":"1.0","source":{"id":"1402.4411","kind":"arxiv","version":2}},"canonical_sha256":"08c5273e72c17f8144764ecb36e348b814cad694d6d1776ee786c09a0d7c9826","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"08c5273e72c17f8144764ecb36e348b814cad694d6d1776ee786c09a0d7c9826","first_computed_at":"2026-05-18T02:32:54.156542Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:54.156542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aq8wJHUn2YVW/K5nCtI2On/qxnnGDh/nmRHwPyePhj2zxn6R1gOuvyoVz1yd/okIUefME1DuFCA09ZeTfPy1Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:54.156963Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.4411","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46d2f1b862e0c03165b7c1d89318f0de2fca0036d4f2b0d16c6751137907e763","sha256:1eb567e44bf78e01f634c158deed97ab48df0a7634346f99d0ff2fd41ad983ae"],"state_sha256":"6ff6faaca9fcb0ed5a46cb4045619f85b82b5da9ab0be54e08bdf6e34f110364"}