{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:WSB2NKP2SALIJFIVNJXH47C2NB","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":"3715c8794a6b5438de8536a519c754b32cfbea985d9c07c5644354999fcfcd06","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1998-08-20T13:07:26Z","title_canon_sha256":"4f31ead3726c445e1e06c4f55c0828e4152c001aac75c6b3dc2fa856dbb3aac5"},"schema_version":"1.0","source":{"id":"gr-qc/9808055","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9808055","created_at":"2026-05-18T01:06:44Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9808055v1","created_at":"2026-05-18T01:06:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9808055","created_at":"2026-05-18T01:06:44Z"},{"alias_kind":"pith_short_12","alias_value":"WSB2NKP2SALI","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"WSB2NKP2SALIJFIV","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"WSB2NKP2","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:4c91e24e779f9b1568a67fb09ad647f442bb2f26b8ccf9f385319f103ad9f6b1","target":"graph","created_at":"2026-05-18T01:06:44Z","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 have investigated the behavior of three curvature invariants for Schwarzschild, Reissner-Nordstr{\\o}m, Kerr, and Kerr-Newman black holes. We have also studied these invariants for a Schwarzschild-de Sitter space-time, the $\\gamma$ metric, and for a 2+1 charged dimensional black hole. The invariants are $I_{1}=R_{\\alpha\\beta\\mu\\nu;\\lambda}R^{\\alpha\\beta\\mu\\nu;\\lambda}$, $I_{2}=R_{\\mu\\nu;\\lambda} R^{\\mu\\nu;\\lambda}$, and $I_{3}=C_{\\alpha\\beta\\mu\\nu;\\lambda}C^{\\alpha\\beta\\mu\\nu;\\lambda}$. For all but the Kerr-Newman case these invariants serve as either horizon or stationary surface detectors.","authors_text":"F. Paul Esposito, L.C.R. Wijewardhana, Louis Witten, Richard G. Gass","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1998-08-20T13:07:26Z","title":"Detecting Event Horizons and Stationary Surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9808055","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:fa804cf10b4a29eef76fdcd0d29ba280d1a23bef695939a6c2ceadad0c930261","target":"record","created_at":"2026-05-18T01:06:44Z","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":"3715c8794a6b5438de8536a519c754b32cfbea985d9c07c5644354999fcfcd06","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1998-08-20T13:07:26Z","title_canon_sha256":"4f31ead3726c445e1e06c4f55c0828e4152c001aac75c6b3dc2fa856dbb3aac5"},"schema_version":"1.0","source":{"id":"gr-qc/9808055","kind":"arxiv","version":1}},"canonical_sha256":"b483a6a9fa90168495156a6e7e7c5a686abbeeab52f2e7a5667951b8d440af46","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b483a6a9fa90168495156a6e7e7c5a686abbeeab52f2e7a5667951b8d440af46","first_computed_at":"2026-05-18T01:06:44.228414Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:44.228414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4OMM+HyR268HmIh3Qc1qXsc+xwXh+WYnF2FVlnUPjMR2SX3xxAdL4vd/cNPaXx0/ev9ArdfbksRuGNXRz9kKBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:44.228842Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9808055","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa804cf10b4a29eef76fdcd0d29ba280d1a23bef695939a6c2ceadad0c930261","sha256:4c91e24e779f9b1568a67fb09ad647f442bb2f26b8ccf9f385319f103ad9f6b1"],"state_sha256":"73e28bf8b1d4db6cf106de8dfa01cfd186e7f226e9ae6bdf2d877c45d1c4310a"}