{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:MS7JQBROZURFPT3TSCR23KWXRU","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":"3d4961744580566d02831bacfe8b8e5c4482d1eff039bfc1b3c83e3771ba2b66","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"gr-qc","submitted_at":"2003-07-17T08:59:16Z","title_canon_sha256":"bc96de41cb01f2a852ee348cb5f1650c330a072957a96b0196fb2e5bf6a55cca"},"schema_version":"1.0","source":{"id":"gr-qc/0307081","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0307081","created_at":"2026-07-04T16:40:15Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0307081v1","created_at":"2026-07-04T16:40:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0307081","created_at":"2026-07-04T16:40:15Z"},{"alias_kind":"pith_short_12","alias_value":"MS7JQBROZURF","created_at":"2026-07-04T16:40:15Z"},{"alias_kind":"pith_short_16","alias_value":"MS7JQBROZURFPT3T","created_at":"2026-07-04T16:40:15Z"},{"alias_kind":"pith_short_8","alias_value":"MS7JQBRO","created_at":"2026-07-04T16:40:15Z"}],"graph_snapshots":[{"event_id":"sha256:7cb3a3449418ccaf0a829cbc76efa60f539c1b292d3ab4cb09d811d6893dbba5","target":"graph","created_at":"2026-07-04T16:40:15Z","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/gr-qc/0307081/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We examine the global structure of scalar field critical collapse spacetimes using a characteristic double-null code. It can integrate past the horizon without any coordinate problems, due to the careful choice of constraint equations used in the evolution. The limiting sequence of sub- and supercritical spacetimes presents an apparent paradox in the expected Penrose diagrams, which we address in this paper. We argue that the limiting spacetime converges pointwise to a unique limit for all r>0, but not uniformly. The r=0 line is different in the two limits. We interpret that the two different ","authors_text":"Andrei V. Frolov, Ue-Li Pen","cross_cats":["astro-ph"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2003-07-17T08:59:16Z","title":"The naked singularity in the global structure of critical collapse spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0307081","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":"sha256:83f69695d7249fbf6f62e7ab9d03bc3d5a854e5f10bd18c8307fbf60187049d1","target":"record","created_at":"2026-07-04T16:40:15Z","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":"3d4961744580566d02831bacfe8b8e5c4482d1eff039bfc1b3c83e3771ba2b66","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"gr-qc","submitted_at":"2003-07-17T08:59:16Z","title_canon_sha256":"bc96de41cb01f2a852ee348cb5f1650c330a072957a96b0196fb2e5bf6a55cca"},"schema_version":"1.0","source":{"id":"gr-qc/0307081","kind":"arxiv","version":1}},"canonical_sha256":"64be98062ecd2257cf7390a3adaad78d17310e5cacab7be878afcb454bdfd595","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64be98062ecd2257cf7390a3adaad78d17310e5cacab7be878afcb454bdfd595","first_computed_at":"2026-07-04T16:40:15.225650Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:40:15.225650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HVsEm/TCS4j1cY5ToEC6oH97qsgZllfeJCi9wUneXcDEJc32qGgODID8ao4kBGJ6w4vchr8lfxa8rc5ynOaeCw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:40:15.226032Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0307081","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83f69695d7249fbf6f62e7ab9d03bc3d5a854e5f10bd18c8307fbf60187049d1","sha256:7cb3a3449418ccaf0a829cbc76efa60f539c1b292d3ab4cb09d811d6893dbba5"],"state_sha256":"3a33666d9d9215cc2424f1a44762087d7dc70d30520b0216f4c86278b7d2644b"}