{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:GELAWFXU5AWONP6UFFHGT7DJD3","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":"71c702acd155f4b1d83d4137982ab0e3ece33a65a62444a61f66adca6b68f92a","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-10T15:18:22Z","title_canon_sha256":"f80cf34b859f23eb1d40abb797046545f9453333cdb195e54de4bdd39afd3bea"},"schema_version":"1.0","source":{"id":"2607.09506","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.09506","created_at":"2026-07-13T01:20:14Z"},{"alias_kind":"arxiv_version","alias_value":"2607.09506v1","created_at":"2026-07-13T01:20:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.09506","created_at":"2026-07-13T01:20:14Z"},{"alias_kind":"pith_short_12","alias_value":"GELAWFXU5AWO","created_at":"2026-07-13T01:20:14Z"},{"alias_kind":"pith_short_16","alias_value":"GELAWFXU5AWONP6U","created_at":"2026-07-13T01:20:14Z"},{"alias_kind":"pith_short_8","alias_value":"GELAWFXU","created_at":"2026-07-13T01:20:14Z"}],"graph_snapshots":[{"event_id":"sha256:c72678b3fed240e0f233f514e3816c4469e4960b064080fe29b642ff7d716bc3","target":"graph","created_at":"2026-07-13T01:20:14Z","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/2607.09506/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Cones of future and past are rigorously constructed under the horizon of black hole by completions of geodesics continued from causally connected space-time regions outside the black hole interior. Treating the Schwarzschild black hole as a zero charge limit of Reissner--Nordsr\\o m black hole reforms the Penrose--Carter diagram into the infinite band that excludes the closed proper-time cycles under the geodesic motion. The marginal trajectories between the cones of future and past compose paths common with a compact non-Hausdorff spherical extension of black hole interior forming the thermal ","authors_text":"Asya Aynbund, V.V. Kiselev","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-10T15:18:22Z","title":"Causal Space-Time Structure and non-Hausdorff Extension of Schwarzschild Black Hole Interior"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.09506","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:be8b739b93e084b0a72f1385dff3f8f29b5ae580ee79e98283d37ff67c33724f","target":"record","created_at":"2026-07-13T01:20:14Z","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":"71c702acd155f4b1d83d4137982ab0e3ece33a65a62444a61f66adca6b68f92a","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-10T15:18:22Z","title_canon_sha256":"f80cf34b859f23eb1d40abb797046545f9453333cdb195e54de4bdd39afd3bea"},"schema_version":"1.0","source":{"id":"2607.09506","kind":"arxiv","version":1}},"canonical_sha256":"31160b16f4e82ce6bfd4294e69fc691efb7fbf93363b6c6fe4a36a75b3933434","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31160b16f4e82ce6bfd4294e69fc691efb7fbf93363b6c6fe4a36a75b3933434","first_computed_at":"2026-07-13T01:20:14.576022Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-13T01:20:14.576022Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vGw1TmXOM1YeNQevY9ryiAtsY1X3+/EEk4ThrKs6C6tbpPnUEvxBdmSZfhgzaxKHPZqHaXf0De1WNS9IwswSDA==","signature_status":"signed_v1","signed_at":"2026-07-13T01:20:14.577064Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.09506","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be8b739b93e084b0a72f1385dff3f8f29b5ae580ee79e98283d37ff67c33724f","sha256:c72678b3fed240e0f233f514e3816c4469e4960b064080fe29b642ff7d716bc3"],"state_sha256":"0423a6e06b7bd5c7fb8c922cd2850b113e0c40b498c36724e887af1784fc13a7"}