{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:VS2UGRZDZQZURZX7O3CEBEX3UA","short_pith_number":"pith:VS2UGRZD","schema_version":"1.0","canonical_sha256":"acb5434723cc3348e6ff76c44092fba0323455a158c495b8687c3a3d89976cc3","source":{"kind":"arxiv","id":"0903.4041","version":2},"attestation_state":"computed","paper":{"title":"Asymptotic behavior of dynamical variables and naked singularity formation in spherically symmetric gravitational collapse","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Akira Tomimatsu, Eiji Mitsuda, Hayato Kawakami, Yasusada Nambu","submitted_at":"2009-03-24T09:27:11Z","abstract_excerpt":"Considering gravitational collapse of matter, it is important problem to clarify what kind of conditions leads to the formation of naked singularity. For this purpose, we apply the 1+3 orthonormal frame formalism introduced by Uggla \\textit{et al.} to spherically symmetric gravitational collapse of perfect fluid. This formalism allows us to construct an autonomous system of evolution and constraint equations for scale-invariant dynamical variables normalized by the volume expansion rate of the timelike orthonormal frame vector. We investigate the asymptotic evolution of such dynamical variable"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0903.4041","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-03-24T09:27:11Z","cross_cats_sorted":[],"title_canon_sha256":"a83b79db182dbff0573767440b5ae79e81a2963b5c701ac8b8072dc700e52d52","abstract_canon_sha256":"cf340badd075b559a635d7f78c87912c06fc45a5fb552d7e3ca4d40f0fb3be25"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:14:26.297326Z","signature_b64":"/mx9v5EsiOSQBz/HC5VGjdJGnokxWxwGGczm5pJynveF3JrrdofNba7E4JvI4kwU2HUHBlN0e2jXDulzImavCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"acb5434723cc3348e6ff76c44092fba0323455a158c495b8687c3a3d89976cc3","last_reissued_at":"2026-05-18T02:14:26.296868Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:14:26.296868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotic behavior of dynamical variables and naked singularity formation in spherically symmetric gravitational collapse","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Akira Tomimatsu, Eiji Mitsuda, Hayato Kawakami, Yasusada Nambu","submitted_at":"2009-03-24T09:27:11Z","abstract_excerpt":"Considering gravitational collapse of matter, it is important problem to clarify what kind of conditions leads to the formation of naked singularity. For this purpose, we apply the 1+3 orthonormal frame formalism introduced by Uggla \\textit{et al.} to spherically symmetric gravitational collapse of perfect fluid. This formalism allows us to construct an autonomous system of evolution and constraint equations for scale-invariant dynamical variables normalized by the volume expansion rate of the timelike orthonormal frame vector. We investigate the asymptotic evolution of such dynamical variable"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.4041","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"0903.4041","created_at":"2026-05-18T02:14:26.296936+00:00"},{"alias_kind":"arxiv_version","alias_value":"0903.4041v2","created_at":"2026-05-18T02:14:26.296936+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.4041","created_at":"2026-05-18T02:14:26.296936+00:00"},{"alias_kind":"pith_short_12","alias_value":"VS2UGRZDZQZU","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_16","alias_value":"VS2UGRZDZQZURZX7","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_8","alias_value":"VS2UGRZD","created_at":"2026-05-18T12:26:02.257875+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VS2UGRZDZQZURZX7O3CEBEX3UA","json":"https://pith.science/pith/VS2UGRZDZQZURZX7O3CEBEX3UA.json","graph_json":"https://pith.science/api/pith-number/VS2UGRZDZQZURZX7O3CEBEX3UA/graph.json","events_json":"https://pith.science/api/pith-number/VS2UGRZDZQZURZX7O3CEBEX3UA/events.json","paper":"https://pith.science/paper/VS2UGRZD"},"agent_actions":{"view_html":"https://pith.science/pith/VS2UGRZDZQZURZX7O3CEBEX3UA","download_json":"https://pith.science/pith/VS2UGRZDZQZURZX7O3CEBEX3UA.json","view_paper":"https://pith.science/paper/VS2UGRZD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0903.4041&json=true","fetch_graph":"https://pith.science/api/pith-number/VS2UGRZDZQZURZX7O3CEBEX3UA/graph.json","fetch_events":"https://pith.science/api/pith-number/VS2UGRZDZQZURZX7O3CEBEX3UA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VS2UGRZDZQZURZX7O3CEBEX3UA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VS2UGRZDZQZURZX7O3CEBEX3UA/action/storage_attestation","attest_author":"https://pith.science/pith/VS2UGRZDZQZURZX7O3CEBEX3UA/action/author_attestation","sign_citation":"https://pith.science/pith/VS2UGRZDZQZURZX7O3CEBEX3UA/action/citation_signature","submit_replication":"https://pith.science/pith/VS2UGRZDZQZURZX7O3CEBEX3UA/action/replication_record"}},"created_at":"2026-05-18T02:14:26.296936+00:00","updated_at":"2026-05-18T02:14:26.296936+00:00"}