{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QJOF2EAA5E2F5AJ6YMGZ3W5EZ2","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":"bf165894514ed5c10584cec7d32b63eb52f82d8c78c0475eb8d64df1b3ee2f94","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-04-13T14:37:29Z","title_canon_sha256":"6d4a288bae63cc5f3772bf725ee35be48f71e8cca7f2e49a16abce3a708d6bad"},"schema_version":"1.0","source":{"id":"1204.3012","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3012","created_at":"2026-05-18T02:21:16Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3012v2","created_at":"2026-05-18T02:21:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3012","created_at":"2026-05-18T02:21:16Z"},{"alias_kind":"pith_short_12","alias_value":"QJOF2EAA5E2F","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QJOF2EAA5E2F5AJ6","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QJOF2EAA","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:2eda286e5dc96968b61036f1cf7d54a683590d57580768b4fea379ed1e9965c9","target":"graph","created_at":"2026-05-18T02:21:16Z","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":"It is shown that causally simple inextendible spacetimes are hole-free, thus confirming the expectation that causal simplicity removes holes from spacetime. This result is optimal in the sense that causal simplicity cannot be weakened to causal continuity. Physically, it means that if there is some partial Cauchy hypersurface which, for some reason, does not fully develop its influence, then there is some discontinuity in the causal relation.","authors_text":"E. Minguzzi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-04-13T14:37:29Z","title":"Causally simple inextendible spacetimes are hole-free"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3012","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":"sha256:48dc43a4d05151a2092f92bbe2ba055aaaf83912ce6bb003e3984f7f83f2ee7a","target":"record","created_at":"2026-05-18T02:21:16Z","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":"bf165894514ed5c10584cec7d32b63eb52f82d8c78c0475eb8d64df1b3ee2f94","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-04-13T14:37:29Z","title_canon_sha256":"6d4a288bae63cc5f3772bf725ee35be48f71e8cca7f2e49a16abce3a708d6bad"},"schema_version":"1.0","source":{"id":"1204.3012","kind":"arxiv","version":2}},"canonical_sha256":"825c5d1000e9345e813ec30d9ddba4cea811547feb54486e60011dd4c8b656e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"825c5d1000e9345e813ec30d9ddba4cea811547feb54486e60011dd4c8b656e6","first_computed_at":"2026-05-18T02:21:16.331912Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:16.331912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LSeZhgaOs2Xsid3VmHq+zTOQYx7hLEAr5lnylFF75TQoy6kYx0JOJsCmI3oy2CH6jXN1t5uh9A4AWbv4slNGAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:16.332651Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.3012","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:48dc43a4d05151a2092f92bbe2ba055aaaf83912ce6bb003e3984f7f83f2ee7a","sha256:2eda286e5dc96968b61036f1cf7d54a683590d57580768b4fea379ed1e9965c9"],"state_sha256":"d1c52eaacc85157f5fa17ba5cf1606e720115da1da586cd282c629d492561f91"}