{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:35A3ETWCPI4VN7J6ASNHKRRIFR","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":"5b9b50be1a3db9f62d41a2add633f8f1941a9eadd5d92af3fb1e80f633e1241c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-04-10T01:48:39Z","title_canon_sha256":"94f4f3e9437e55002b0ff43bc4cd3267b089a4528ebe06549dc0c9fdc4c02b91"},"schema_version":"1.0","source":{"id":"1204.2025","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.2025","created_at":"2026-05-18T03:58:13Z"},{"alias_kind":"arxiv_version","alias_value":"1204.2025v1","created_at":"2026-05-18T03:58:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2025","created_at":"2026-05-18T03:58:13Z"},{"alias_kind":"pith_short_12","alias_value":"35A3ETWCPI4V","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"35A3ETWCPI4VN7J6","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"35A3ETWC","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:24d235dcbfc35d02b5515432cd1674c67e0fd3863cc615d9408c751241772c89","target":"graph","created_at":"2026-05-18T03:58:13Z","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 complete uniform visibility manifolds of finite volume with sectional curvature $-1 \\leq K \\leq 0$ have positive simplicial volumes. This implies that their minimal volumes are non-zero.","authors_text":"Sungwoon Kim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-04-10T01:48:39Z","title":"Minimal volume of complete uniform visibility manifolds with finite volume"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2025","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:f57e36357cd9f20bac59c564167ec40a1de429c001105ccab41f2011765750e9","target":"record","created_at":"2026-05-18T03:58:13Z","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":"5b9b50be1a3db9f62d41a2add633f8f1941a9eadd5d92af3fb1e80f633e1241c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-04-10T01:48:39Z","title_canon_sha256":"94f4f3e9437e55002b0ff43bc4cd3267b089a4528ebe06549dc0c9fdc4c02b91"},"schema_version":"1.0","source":{"id":"1204.2025","kind":"arxiv","version":1}},"canonical_sha256":"df41b24ec27a3956fd3e049a7546282c6cf0b59c6067a4ffed16c773b9c9e8e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"df41b24ec27a3956fd3e049a7546282c6cf0b59c6067a4ffed16c773b9c9e8e0","first_computed_at":"2026-05-18T03:58:13.533432Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:58:13.533432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AlNEisrYVFt+p1y1l/TSJMdCJHuCrVcDDtNX4ub+JHc3Fl2uEmkEaYSJVBJy/gh7nuZtoogzOqOhKqzKD6uwAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:58:13.533830Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.2025","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f57e36357cd9f20bac59c564167ec40a1de429c001105ccab41f2011765750e9","sha256:24d235dcbfc35d02b5515432cd1674c67e0fd3863cc615d9408c751241772c89"],"state_sha256":"e55b0b0e5059a45da7f20901c4447ad81e42b96e2753c773a861f6cb32f451f5"}