{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RXZKCCGZGFNUA4MTZWR3YNLRAK","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":"d91f9e764831f22a5f026128654b2da1a38ffd841995db21d776191b0268c73f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-09-14T12:44:35Z","title_canon_sha256":"be6e95c75d0f4f5986a15061567294cb0aed3ce7748c16bfba5da75ea0532f80"},"schema_version":"1.0","source":{"id":"1309.3657","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.3657","created_at":"2026-05-18T01:29:59Z"},{"alias_kind":"arxiv_version","alias_value":"1309.3657v2","created_at":"2026-05-18T01:29:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.3657","created_at":"2026-05-18T01:29:59Z"},{"alias_kind":"pith_short_12","alias_value":"RXZKCCGZGFNU","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"RXZKCCGZGFNUA4MT","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"RXZKCCGZ","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:6bf7967572a71f83a30914f68f837cc3b458d3e71894abaa04538d1a9df08072","target":"graph","created_at":"2026-05-18T01:29:59Z","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 give a counterexample to the following theorem of Bremermann on Shilov boundaries: if $D$ is a bounded domain in $\\mathbb C^n$ having a univalent envelope of holomorphy, say $\\widetilde D$, then the Shilov boundary of $D$ with respect to the algebra $\\mathcal A(D)$ coincides with the corresponding one for $\\widetilde D$.","authors_text":"Marek Jarnicki, Peter Pflug","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-09-14T12:44:35Z","title":"A counterexample to a theorem of Bremermann on Shilov boundaries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.3657","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":"sha256:1895eed7b5745b1ef50c04c109bf878b02fb07aad8a0a3d580d43105ab94f375","target":"record","created_at":"2026-05-18T01:29:59Z","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":"d91f9e764831f22a5f026128654b2da1a38ffd841995db21d776191b0268c73f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-09-14T12:44:35Z","title_canon_sha256":"be6e95c75d0f4f5986a15061567294cb0aed3ce7748c16bfba5da75ea0532f80"},"schema_version":"1.0","source":{"id":"1309.3657","kind":"arxiv","version":2}},"canonical_sha256":"8df2a108d9315b407193cda3bc35710281934e180072d3067ad1aa0d64d16af0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8df2a108d9315b407193cda3bc35710281934e180072d3067ad1aa0d64d16af0","first_computed_at":"2026-05-18T01:29:59.728558Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:29:59.728558Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DdEm5SeRTxz5Sfwf4uGJJrZXs7npJ3hWovy5KxYHILF1z+3fUHCF3LcZoT8YbZEsCQdPTBKhtWd21pZbzxxqDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:29:59.729185Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.3657","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1895eed7b5745b1ef50c04c109bf878b02fb07aad8a0a3d580d43105ab94f375","sha256:6bf7967572a71f83a30914f68f837cc3b458d3e71894abaa04538d1a9df08072"],"state_sha256":"cc8e3703e2a074d2edd0d6695feb176a293044143e1caf5bf606a55e6d57035a"}