{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1997:TTCJTG6TX6KDCJ7GW2YJOOWZ5W","short_pith_number":"pith:TTCJTG6T","schema_version":"1.0","canonical_sha256":"9cc4999bd3bf943127e6b6b0973ad9ed92ffe7ae1d2d95e61467b14820a35ac9","source":{"kind":"arxiv","id":"gr-qc/9703067","version":2},"attestation_state":"computed","paper":{"title":"Late-time evolution of nonlinear gravitational collapse","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Amos Ori, Lior M. Burko","submitted_at":"1997-03-24T17:33:26Z","abstract_excerpt":"We study numerically the fully nonlinear gravitational collapse of a self-gravitating, minimally-coupled, massless scalar field in spherical symmetry. Our numerical code is based on double-null coordinates and on free evolution of the metric functions: The evolution equations are integrated numerically, whereas the constraint equations are only monitored. The numerical code is stable (unlike recent claims) and second-order accurate. We use this code to study the late-time asymptotic behavior at fixed $r$ (outside the black hole), along the event horizon, and along future null infinity. In all "},"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":"gr-qc/9703067","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1997-03-24T17:33:26Z","cross_cats_sorted":[],"title_canon_sha256":"ca7dd68bebf1921a093b0ebdbcf2a3a0b2727b5c614bb783c0d56ae9af2d3d49","abstract_canon_sha256":"694b7a852694bbad87d4bcbd39b4bf6c8f4336c4b47abffd86b43b8dec56a33a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:34.031571Z","signature_b64":"xzNwsrCsOKvY2E2VW02YEG59oADe/1XlP66rlQnsXqDIOW9enZyImi2yg1Ujr5c3DYIOx6W4IfjD5RcxR0YpDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9cc4999bd3bf943127e6b6b0973ad9ed92ffe7ae1d2d95e61467b14820a35ac9","last_reissued_at":"2026-05-18T04:35:34.030991Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:34.030991Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Late-time evolution of nonlinear gravitational collapse","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Amos Ori, Lior M. Burko","submitted_at":"1997-03-24T17:33:26Z","abstract_excerpt":"We study numerically the fully nonlinear gravitational collapse of a self-gravitating, minimally-coupled, massless scalar field in spherical symmetry. Our numerical code is based on double-null coordinates and on free evolution of the metric functions: The evolution equations are integrated numerically, whereas the constraint equations are only monitored. The numerical code is stable (unlike recent claims) and second-order accurate. We use this code to study the late-time asymptotic behavior at fixed $r$ (outside the black hole), along the event horizon, and along future null infinity. In all "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9703067","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":"gr-qc/9703067","created_at":"2026-05-18T04:35:34.031086+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9703067v2","created_at":"2026-05-18T04:35:34.031086+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9703067","created_at":"2026-05-18T04:35:34.031086+00:00"},{"alias_kind":"pith_short_12","alias_value":"TTCJTG6TX6KD","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_16","alias_value":"TTCJTG6TX6KDCJ7G","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_8","alias_value":"TTCJTG6T","created_at":"2026-05-18T12:25:48.327863+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2505.08877","citing_title":"On the universality of late-time ringdown tail","ref_index":21,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TTCJTG6TX6KDCJ7GW2YJOOWZ5W","json":"https://pith.science/pith/TTCJTG6TX6KDCJ7GW2YJOOWZ5W.json","graph_json":"https://pith.science/api/pith-number/TTCJTG6TX6KDCJ7GW2YJOOWZ5W/graph.json","events_json":"https://pith.science/api/pith-number/TTCJTG6TX6KDCJ7GW2YJOOWZ5W/events.json","paper":"https://pith.science/paper/TTCJTG6T"},"agent_actions":{"view_html":"https://pith.science/pith/TTCJTG6TX6KDCJ7GW2YJOOWZ5W","download_json":"https://pith.science/pith/TTCJTG6TX6KDCJ7GW2YJOOWZ5W.json","view_paper":"https://pith.science/paper/TTCJTG6T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/9703067&json=true","fetch_graph":"https://pith.science/api/pith-number/TTCJTG6TX6KDCJ7GW2YJOOWZ5W/graph.json","fetch_events":"https://pith.science/api/pith-number/TTCJTG6TX6KDCJ7GW2YJOOWZ5W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TTCJTG6TX6KDCJ7GW2YJOOWZ5W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TTCJTG6TX6KDCJ7GW2YJOOWZ5W/action/storage_attestation","attest_author":"https://pith.science/pith/TTCJTG6TX6KDCJ7GW2YJOOWZ5W/action/author_attestation","sign_citation":"https://pith.science/pith/TTCJTG6TX6KDCJ7GW2YJOOWZ5W/action/citation_signature","submit_replication":"https://pith.science/pith/TTCJTG6TX6KDCJ7GW2YJOOWZ5W/action/replication_record"}},"created_at":"2026-05-18T04:35:34.031086+00:00","updated_at":"2026-05-18T04:35:34.031086+00:00"}