{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:IXSIT7ZGR6CVXFA5W7J2AZWPD3","short_pith_number":"pith:IXSIT7ZG","schema_version":"1.0","canonical_sha256":"45e489ff268f855b941db7d3a066cf1ec224ea714c86924d6f445ced1a69fc91","source":{"kind":"arxiv","id":"2411.15868","version":1},"attestation_state":"computed","paper":{"title":"Analytic models for gravitational collapse","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Jorge Ovalle, Sinya Aoki","submitted_at":"2024-11-24T15:07:48Z","abstract_excerpt":"We present two analytical models of gravitational collapse toward the Schwarzschild black hole, starting from the interior of the revisited Schwarzschild solution recently reported in [Phys. Rev. D 109, 104032 (2024)]. Both models satisfy some energy conditions at all times as long as the collapse is slower than some limit. While a singularity of the Schwarzschild black hole at the origin ($R_{\\mu\\nu\\alpha\\beta}R^{\\mu\\nu\\alpha\\beta}\\sim r^{-6}$) forms immediately after the start of the collapse in one model, such a singularity never appear at finite time during the collapse (except $t\\to\\infty"},"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":"2411.15868","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-11-24T15:07:48Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"1e30a13c8641ed9606b6f0ec9fc098d6bf5af6511a860df040b16d0ca194bc56","abstract_canon_sha256":"53cf62e1bc54548ca029227a13c4dde330dacdde277f2778e5d8fb44c24470f7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:39:42.040994Z","signature_b64":"y/zZ3mXCHE8CA75aXDKoiCaJhRAgLtCLW6mSH//JwoXRgujvKww3N/QuKTXVcWinEUYyj+yK83K/EiUhYO5LCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"45e489ff268f855b941db7d3a066cf1ec224ea714c86924d6f445ced1a69fc91","last_reissued_at":"2026-07-05T09:39:42.040574Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:39:42.040574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analytic models for gravitational collapse","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Jorge Ovalle, Sinya Aoki","submitted_at":"2024-11-24T15:07:48Z","abstract_excerpt":"We present two analytical models of gravitational collapse toward the Schwarzschild black hole, starting from the interior of the revisited Schwarzschild solution recently reported in [Phys. Rev. D 109, 104032 (2024)]. Both models satisfy some energy conditions at all times as long as the collapse is slower than some limit. While a singularity of the Schwarzschild black hole at the origin ($R_{\\mu\\nu\\alpha\\beta}R^{\\mu\\nu\\alpha\\beta}\\sim r^{-6}$) forms immediately after the start of the collapse in one model, such a singularity never appear at finite time during the collapse (except $t\\to\\infty"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.15868","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.15868/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2411.15868","created_at":"2026-07-05T09:39:42.040635+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.15868v1","created_at":"2026-07-05T09:39:42.040635+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.15868","created_at":"2026-07-05T09:39:42.040635+00:00"},{"alias_kind":"pith_short_12","alias_value":"IXSIT7ZGR6CV","created_at":"2026-07-05T09:39:42.040635+00:00"},{"alias_kind":"pith_short_16","alias_value":"IXSIT7ZGR6CVXFA5","created_at":"2026-07-05T09:39:42.040635+00:00"},{"alias_kind":"pith_short_8","alias_value":"IXSIT7ZG","created_at":"2026-07-05T09:39:42.040635+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/IXSIT7ZGR6CVXFA5W7J2AZWPD3","json":"https://pith.science/pith/IXSIT7ZGR6CVXFA5W7J2AZWPD3.json","graph_json":"https://pith.science/api/pith-number/IXSIT7ZGR6CVXFA5W7J2AZWPD3/graph.json","events_json":"https://pith.science/api/pith-number/IXSIT7ZGR6CVXFA5W7J2AZWPD3/events.json","paper":"https://pith.science/paper/IXSIT7ZG"},"agent_actions":{"view_html":"https://pith.science/pith/IXSIT7ZGR6CVXFA5W7J2AZWPD3","download_json":"https://pith.science/pith/IXSIT7ZGR6CVXFA5W7J2AZWPD3.json","view_paper":"https://pith.science/paper/IXSIT7ZG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.15868&json=true","fetch_graph":"https://pith.science/api/pith-number/IXSIT7ZGR6CVXFA5W7J2AZWPD3/graph.json","fetch_events":"https://pith.science/api/pith-number/IXSIT7ZGR6CVXFA5W7J2AZWPD3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IXSIT7ZGR6CVXFA5W7J2AZWPD3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IXSIT7ZGR6CVXFA5W7J2AZWPD3/action/storage_attestation","attest_author":"https://pith.science/pith/IXSIT7ZGR6CVXFA5W7J2AZWPD3/action/author_attestation","sign_citation":"https://pith.science/pith/IXSIT7ZGR6CVXFA5W7J2AZWPD3/action/citation_signature","submit_replication":"https://pith.science/pith/IXSIT7ZGR6CVXFA5W7J2AZWPD3/action/replication_record"}},"created_at":"2026-07-05T09:39:42.040635+00:00","updated_at":"2026-07-05T09:39:42.040635+00:00"}