{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GMPKR4XQW3EE4RGIPT7KL54U5G","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":"690d2ce9b521da764d8248cfc5bffa3efc3e4723d35613216f71e6f20503b30d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-05-12T13:36:49Z","title_canon_sha256":"b4df388e79c34994cb974f68927b18ded49cae5e52b2d981a2a29a1a2f034285"},"schema_version":"1.0","source":{"id":"1405.2750","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.2750","created_at":"2026-05-18T02:52:04Z"},{"alias_kind":"arxiv_version","alias_value":"1405.2750v1","created_at":"2026-05-18T02:52:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.2750","created_at":"2026-05-18T02:52:04Z"},{"alias_kind":"pith_short_12","alias_value":"GMPKR4XQW3EE","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GMPKR4XQW3EE4RGI","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GMPKR4XQ","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:8048c8b080589dde0f661b85990440b68fb897361acb0c2cf7bd9c4f07662378","target":"graph","created_at":"2026-05-18T02:52:04Z","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 show that semiprojectivity of a C*-algebra is preserved when passing to C*-subalgebras of finite codimension. In particular, any pullback of two semiprojective C*-algebras over a finite-dimensional C*-algebra is again semiprojective.","authors_text":"Dominic Enders","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-05-12T13:36:49Z","title":"Subalgebras of finite codimension in semiprojective C*-algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.2750","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":"sha256:07858b1b7fb72f867e825628654c475d6ae89f7ec494f365bacc17a9f11e5a58","target":"record","created_at":"2026-05-18T02:52:04Z","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":"690d2ce9b521da764d8248cfc5bffa3efc3e4723d35613216f71e6f20503b30d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-05-12T13:36:49Z","title_canon_sha256":"b4df388e79c34994cb974f68927b18ded49cae5e52b2d981a2a29a1a2f034285"},"schema_version":"1.0","source":{"id":"1405.2750","kind":"arxiv","version":1}},"canonical_sha256":"331ea8f2f0b6c84e44c87cfea5f794e9b88d92298f9503541b09c9bfddac3c88","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"331ea8f2f0b6c84e44c87cfea5f794e9b88d92298f9503541b09c9bfddac3c88","first_computed_at":"2026-05-18T02:52:04.844712Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:04.844712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jrFctdq8eR6ppu5IJgzY8Aub/P9fPJXXMHNbV1RgtMFo+XG0kZ+FhOJhf1YTdOV827803Si8BcxkIkdHPzC+BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:04.845162Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.2750","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07858b1b7fb72f867e825628654c475d6ae89f7ec494f365bacc17a9f11e5a58","sha256:8048c8b080589dde0f661b85990440b68fb897361acb0c2cf7bd9c4f07662378"],"state_sha256":"7debfda4ee928c13074ac829a19a8414f984a30cad3a486ed9ecd8b267f1e2a6"}