{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:R4SB34XEIMSLHPACJSAYWE6Q4Y","short_pith_number":"pith:R4SB34XE","schema_version":"1.0","canonical_sha256":"8f241df2e44324b3bc024c818b13d0e6099c37041764a11675eb1fa035b33c44","source":{"kind":"arxiv","id":"2009.03704","version":1},"attestation_state":"computed","paper":{"title":"Construction of Cauchy data for the dynamical formation of apparent horizons and the Penrose Inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.DG","math.MP"],"primary_cat":"math.AP","authors_text":"Martin Lesourd, Nikolaos Athanasiou","submitted_at":"2020-09-08T12:47:29Z","abstract_excerpt":"Based on scale critical initial data, we construct smooth asymptotically flat Cauchy initial data for the Einstein vacuum system that does not contain Marginally Outer Trapped Surfaces (MOTS) but whose future evolution contains a trapped region, which itself is bounded by an apparent horizon (a smooth hypersurface foliated by MOTS).\n  Although the long time behaviour of these solutions is unknown, a statement of Kerr Stability would yield a dynamical, scale critical, non-spherically symmetric class of vacuum examples for the conjectures of Weak Cosmic Censorship and Final State.\n  Owing to est"},"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":"2009.03704","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2020-09-08T12:47:29Z","cross_cats_sorted":["gr-qc","math-ph","math.DG","math.MP"],"title_canon_sha256":"6dd53171546cb075fa24ed9fe4b18e0939e7b133aab22d33945197b054c1226b","abstract_canon_sha256":"140726b996d48827aaddafc29be7b4d0b7d3c4dce12fab0d0480b92ab0b51776"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:34:12.500806Z","signature_b64":"8UcuneNnFv/F5vEiMaCom3Gc2b3kaRUA3x0ddZavq8Sekq/7dve0jKQa+OgkVgumXabF609GepaJrTL0DIcXDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f241df2e44324b3bc024c818b13d0e6099c37041764a11675eb1fa035b33c44","last_reissued_at":"2026-07-05T01:34:12.500433Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:34:12.500433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Construction of Cauchy data for the dynamical formation of apparent horizons and the Penrose Inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.DG","math.MP"],"primary_cat":"math.AP","authors_text":"Martin Lesourd, Nikolaos Athanasiou","submitted_at":"2020-09-08T12:47:29Z","abstract_excerpt":"Based on scale critical initial data, we construct smooth asymptotically flat Cauchy initial data for the Einstein vacuum system that does not contain Marginally Outer Trapped Surfaces (MOTS) but whose future evolution contains a trapped region, which itself is bounded by an apparent horizon (a smooth hypersurface foliated by MOTS).\n  Although the long time behaviour of these solutions is unknown, a statement of Kerr Stability would yield a dynamical, scale critical, non-spherically symmetric class of vacuum examples for the conjectures of Weak Cosmic Censorship and Final State.\n  Owing to est"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.03704","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/2009.03704/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":"2009.03704","created_at":"2026-07-05T01:34:12.500487+00:00"},{"alias_kind":"arxiv_version","alias_value":"2009.03704v1","created_at":"2026-07-05T01:34:12.500487+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.03704","created_at":"2026-07-05T01:34:12.500487+00:00"},{"alias_kind":"pith_short_12","alias_value":"R4SB34XEIMSL","created_at":"2026-07-05T01:34:12.500487+00:00"},{"alias_kind":"pith_short_16","alias_value":"R4SB34XEIMSLHPAC","created_at":"2026-07-05T01:34:12.500487+00:00"},{"alias_kind":"pith_short_8","alias_value":"R4SB34XE","created_at":"2026-07-05T01:34:12.500487+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/R4SB34XEIMSLHPACJSAYWE6Q4Y","json":"https://pith.science/pith/R4SB34XEIMSLHPACJSAYWE6Q4Y.json","graph_json":"https://pith.science/api/pith-number/R4SB34XEIMSLHPACJSAYWE6Q4Y/graph.json","events_json":"https://pith.science/api/pith-number/R4SB34XEIMSLHPACJSAYWE6Q4Y/events.json","paper":"https://pith.science/paper/R4SB34XE"},"agent_actions":{"view_html":"https://pith.science/pith/R4SB34XEIMSLHPACJSAYWE6Q4Y","download_json":"https://pith.science/pith/R4SB34XEIMSLHPACJSAYWE6Q4Y.json","view_paper":"https://pith.science/paper/R4SB34XE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2009.03704&json=true","fetch_graph":"https://pith.science/api/pith-number/R4SB34XEIMSLHPACJSAYWE6Q4Y/graph.json","fetch_events":"https://pith.science/api/pith-number/R4SB34XEIMSLHPACJSAYWE6Q4Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R4SB34XEIMSLHPACJSAYWE6Q4Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R4SB34XEIMSLHPACJSAYWE6Q4Y/action/storage_attestation","attest_author":"https://pith.science/pith/R4SB34XEIMSLHPACJSAYWE6Q4Y/action/author_attestation","sign_citation":"https://pith.science/pith/R4SB34XEIMSLHPACJSAYWE6Q4Y/action/citation_signature","submit_replication":"https://pith.science/pith/R4SB34XEIMSLHPACJSAYWE6Q4Y/action/replication_record"}},"created_at":"2026-07-05T01:34:12.500487+00:00","updated_at":"2026-07-05T01:34:12.500487+00:00"}