{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:DJLXVAOD3BOHGQE7253RX4XUTF","short_pith_number":"pith:DJLXVAOD","schema_version":"1.0","canonical_sha256":"1a577a81c3d85c73409fd7771bf2f4996b8fbeb203d42b0e1e2dca69cbecbb05","source":{"kind":"arxiv","id":"gr-qc/0506013","version":2},"attestation_state":"computed","paper":{"title":"Local existence of dynamical and trapping horizons","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Lars Andersson, Marc Mars, Walter Simon","submitted_at":"2005-06-02T15:07:54Z","abstract_excerpt":"Given a spacelike foliation of a spacetime and a marginally outer trapped surface S on some initial leaf, we prove that under a suitable stability condition S is contained in a ``horizon'', i.e. a smooth 3-surface foliated by marginally outer trapped slices which lie in the leaves of the given foliation. We also show that under rather weak energy conditions this horizon must be either achronal or spacelike everywhere. Furthermore, we discuss the relation between ``bounding'' and ``stability'' properties of marginally outer trapped surfaces."},"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/0506013","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2005-06-02T15:07:54Z","cross_cats_sorted":[],"title_canon_sha256":"30035367b555e21b63b323eece633b8f72ba77592803ebc4d971cd0405a6aafe","abstract_canon_sha256":"83113795c2268a1b3110978713e3536da60981f188299a7fc32182c09a375c12"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:55:14.964842Z","signature_b64":"OhKMruhdfkD33K4tYPCJqXBjkiu4EDTkYIHlyNVJ7mbVBnrGpuQVMjj4Ifd+dh0EeOdWG2DyROWSPrK0LATwBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a577a81c3d85c73409fd7771bf2f4996b8fbeb203d42b0e1e2dca69cbecbb05","last_reissued_at":"2026-07-04T16:55:14.964435Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:55:14.964435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Local existence of dynamical and trapping horizons","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Lars Andersson, Marc Mars, Walter Simon","submitted_at":"2005-06-02T15:07:54Z","abstract_excerpt":"Given a spacelike foliation of a spacetime and a marginally outer trapped surface S on some initial leaf, we prove that under a suitable stability condition S is contained in a ``horizon'', i.e. a smooth 3-surface foliated by marginally outer trapped slices which lie in the leaves of the given foliation. We also show that under rather weak energy conditions this horizon must be either achronal or spacelike everywhere. Furthermore, we discuss the relation between ``bounding'' and ``stability'' properties of marginally outer trapped surfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0506013","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/gr-qc/0506013/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":"gr-qc/0506013","created_at":"2026-07-04T16:55:14.964500+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0506013v2","created_at":"2026-07-04T16:55:14.964500+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0506013","created_at":"2026-07-04T16:55:14.964500+00:00"},{"alias_kind":"pith_short_12","alias_value":"DJLXVAOD3BOH","created_at":"2026-07-04T16:55:14.964500+00:00"},{"alias_kind":"pith_short_16","alias_value":"DJLXVAOD3BOHGQE7","created_at":"2026-07-04T16:55:14.964500+00:00"},{"alias_kind":"pith_short_8","alias_value":"DJLXVAOD","created_at":"2026-07-04T16:55:14.964500+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":6,"internal_anchor_count":4,"sample":[{"citing_arxiv_id":"2606.04988","citing_title":"Interior marginally outer trapped surfaces in Hayward black holes","ref_index":16,"is_internal_anchor":true},{"citing_arxiv_id":"2606.10910","citing_title":"Convex foliations and trapped submanifolds","ref_index":1,"is_internal_anchor":true},{"citing_arxiv_id":"2605.10874","citing_title":"Cusp Formation in Merging Black Hole Horizons","ref_index":56,"is_internal_anchor":true},{"citing_arxiv_id":"2602.15628","citing_title":"Expansion operators in spherically symmetric loop quantum gravity","ref_index":21,"is_internal_anchor":true},{"citing_arxiv_id":"2605.10874","citing_title":"Cusp Formation in Merging Black Hole Horizons","ref_index":56,"is_internal_anchor":false},{"citing_arxiv_id":"2604.00170","citing_title":"Thermodynamics of dynamical black holes beyond perturbation theory","ref_index":54,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DJLXVAOD3BOHGQE7253RX4XUTF","json":"https://pith.science/pith/DJLXVAOD3BOHGQE7253RX4XUTF.json","graph_json":"https://pith.science/api/pith-number/DJLXVAOD3BOHGQE7253RX4XUTF/graph.json","events_json":"https://pith.science/api/pith-number/DJLXVAOD3BOHGQE7253RX4XUTF/events.json","paper":"https://pith.science/paper/DJLXVAOD"},"agent_actions":{"view_html":"https://pith.science/pith/DJLXVAOD3BOHGQE7253RX4XUTF","download_json":"https://pith.science/pith/DJLXVAOD3BOHGQE7253RX4XUTF.json","view_paper":"https://pith.science/paper/DJLXVAOD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0506013&json=true","fetch_graph":"https://pith.science/api/pith-number/DJLXVAOD3BOHGQE7253RX4XUTF/graph.json","fetch_events":"https://pith.science/api/pith-number/DJLXVAOD3BOHGQE7253RX4XUTF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DJLXVAOD3BOHGQE7253RX4XUTF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DJLXVAOD3BOHGQE7253RX4XUTF/action/storage_attestation","attest_author":"https://pith.science/pith/DJLXVAOD3BOHGQE7253RX4XUTF/action/author_attestation","sign_citation":"https://pith.science/pith/DJLXVAOD3BOHGQE7253RX4XUTF/action/citation_signature","submit_replication":"https://pith.science/pith/DJLXVAOD3BOHGQE7253RX4XUTF/action/replication_record"}},"created_at":"2026-07-04T16:55:14.964500+00:00","updated_at":"2026-07-04T16:55:14.964500+00:00"}