{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:XEH2L4S44V6Y2HATBWOG5H7UW7","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":"f268aebab8bee1aa2d60b5a37931483aa312b0471644abd3329d02e36efa4534","cross_cats_sorted":["math.OA"],"license":"","primary_cat":"math.RA","submitted_at":"2003-07-30T14:39:03Z","title_canon_sha256":"f813d3b673b2bf200402a39e9eb6adafb3290ece51f7ab2117366ce96f370eca"},"schema_version":"1.0","source":{"id":"math/0307385","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0307385","created_at":"2026-07-04T14:37:38Z"},{"alias_kind":"arxiv_version","alias_value":"math/0307385v1","created_at":"2026-07-04T14:37:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0307385","created_at":"2026-07-04T14:37:38Z"},{"alias_kind":"pith_short_12","alias_value":"XEH2L4S44V6Y","created_at":"2026-07-04T14:37:38Z"},{"alias_kind":"pith_short_16","alias_value":"XEH2L4S44V6Y2HAT","created_at":"2026-07-04T14:37:38Z"},{"alias_kind":"pith_short_8","alias_value":"XEH2L4S4","created_at":"2026-07-04T14:37:38Z"}],"graph_snapshots":[{"event_id":"sha256:172ad52148dc4b6772c62352a1fcf3b0750cface553ac8d0b120c0d4c2d8de5b","target":"graph","created_at":"2026-07-04T14:37:38Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/math/0307385/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It is proved that the exchange property, the Bass stable rank and the quasi-Bass property are all preserved under surjective inverse limits. This is then applied to multiplier rings by showing that in many cases can be obtained as inverse limits.","authors_text":"Francesc Perera, Gert K. Pedersen","cross_cats":["math.OA"],"headline":"","license":"","primary_cat":"math.RA","submitted_at":"2003-07-30T14:39:03Z","title":"Inverse limits of rings and Multiplier rings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0307385","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:c33bad48604f58d17e986d9346b038d290bc9642171d2a736e967f80dd2c45f7","target":"record","created_at":"2026-07-04T14:37:38Z","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":"f268aebab8bee1aa2d60b5a37931483aa312b0471644abd3329d02e36efa4534","cross_cats_sorted":["math.OA"],"license":"","primary_cat":"math.RA","submitted_at":"2003-07-30T14:39:03Z","title_canon_sha256":"f813d3b673b2bf200402a39e9eb6adafb3290ece51f7ab2117366ce96f370eca"},"schema_version":"1.0","source":{"id":"math/0307385","kind":"arxiv","version":1}},"canonical_sha256":"b90fa5f25ce57d8d1c130d9c6e9ff4b7fcee3dbfcedfd5918de90fb621cc192c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b90fa5f25ce57d8d1c130d9c6e9ff4b7fcee3dbfcedfd5918de90fb621cc192c","first_computed_at":"2026-07-04T14:37:38.004830Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:37:38.004830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lsoP71wS/tBpCzCQ8xa2Cmwt5AUqJnlVB7pADvbS8/a4VVgYGQcmckj2JiGPYpmyoJF0R8+QmI5C1eLAu7gnAA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:37:38.005175Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0307385","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c33bad48604f58d17e986d9346b038d290bc9642171d2a736e967f80dd2c45f7","sha256:172ad52148dc4b6772c62352a1fcf3b0750cface553ac8d0b120c0d4c2d8de5b"],"state_sha256":"10c91779dbbc861626a5945c6d5502d134bc69f729096e9aea0f36227c438e76"}