{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UVBUDIHFMVPOB7IVOAD52HLWET","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ffba3da9ebb2619fc1a93e9f769da110506e6201424689ec9df08f3316a79433","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-08-28T04:49:56Z","title_canon_sha256":"6f44fa38ba9d5c62eed79d791f3083eff7a7b1ae419edcaf817e3174a3ae3ca9"},"schema_version":"1.0","source":{"id":"1308.6057","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.6057","created_at":"2026-05-18T01:47:57Z"},{"alias_kind":"arxiv_version","alias_value":"1308.6057v2","created_at":"2026-05-18T01:47:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.6057","created_at":"2026-05-18T01:47:57Z"},{"alias_kind":"pith_short_12","alias_value":"UVBUDIHFMVPO","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UVBUDIHFMVPOB7IV","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UVBUDIHF","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:de9aa1cea48b7beccd425d215f635bbd3da602e898a34e27406c1e1995e15383","target":"graph","created_at":"2026-05-18T01:47:57Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We show that any vacuum initial data set containing a marginally outer trapped surface S and satisfying a \"no KIDs\" condition can be perturbed near S so that S becomes strictly outer trapped in the new vacuum initial data set. This, together with the results in [9], gives a precise sense in which generic initial data containing marginally outer trapped surfaces lead to geodesically incomplete spacetimes.","authors_text":"Gregory J. Galloway, Piotr T. Chrusciel","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-08-28T04:49:56Z","title":"Outer trapped surfaces are dense near MOTSs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.6057","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a25714553a7c5ace6daefc6f8a8b26cf7a75e8d857c7e95cf1558d964074e324","target":"record","created_at":"2026-05-18T01:47:57Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ffba3da9ebb2619fc1a93e9f769da110506e6201424689ec9df08f3316a79433","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-08-28T04:49:56Z","title_canon_sha256":"6f44fa38ba9d5c62eed79d791f3083eff7a7b1ae419edcaf817e3174a3ae3ca9"},"schema_version":"1.0","source":{"id":"1308.6057","kind":"arxiv","version":2}},"canonical_sha256":"a54341a0e5655ee0fd157007dd1d7624f2d784bbd4ab3ad9850911cb5f5941f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a54341a0e5655ee0fd157007dd1d7624f2d784bbd4ab3ad9850911cb5f5941f2","first_computed_at":"2026-05-18T01:47:57.663416Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:47:57.663416Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j4FvK+S5BUyn739YUtR7D+K32W46aoy+mHdlhFHC4YUy/idZ2W/3wiOghAZjVXMz5SylJIvCjd71R4Dt9tvfCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:47:57.664073Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.6057","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a25714553a7c5ace6daefc6f8a8b26cf7a75e8d857c7e95cf1558d964074e324","sha256:de9aa1cea48b7beccd425d215f635bbd3da602e898a34e27406c1e1995e15383"],"state_sha256":"9e0f5259cff01d2f3e23cf2a14d5f4ceb375aedf4c7428ac20e6b8746a7be07b"}