{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:D2TUB3KSUR5VOCNDENCJKEZQYI","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":"ceb04470da26df657815584b7d3e3bf96c961b38dfceb0af1908553f63f87910","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-22T04:34:44Z","title_canon_sha256":"26778ef0d598c7350aca0dac09bfbfb9a0ababb880d05b1bbc62f6def6c8e4de"},"schema_version":"1.0","source":{"id":"1304.5832","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.5832","created_at":"2026-05-18T02:32:31Z"},{"alias_kind":"arxiv_version","alias_value":"1304.5832v2","created_at":"2026-05-18T02:32:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.5832","created_at":"2026-05-18T02:32:31Z"},{"alias_kind":"pith_short_12","alias_value":"D2TUB3KSUR5V","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"D2TUB3KSUR5VOCND","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"D2TUB3KS","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:e78bd8254b6661a3fcec7e2c14349d7e77570f1b217aae4a161543a650793127","target":"graph","created_at":"2026-05-18T02:32:31Z","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":"In this paper, we work on the marginally trapped surfaces in the 4-dimensional Minkowski, de Sitter and anti-de Sitter space-times. We obtain the complete classification of the marginally trapped surfaces in the Minkowski space-time with pointwise 1-type Gauss map. Further, we give construction of marginally trapped surfaces with 1-type Gauss map and a given boundary curve. We also state some explicit examples. We also prove that a marginally trapped surface in the de Sitter space-time $\\mathbb S^4_1(1)$ or anti-de Sitter space-time $\\mathbb H^4_1(-1)$ has pointwise 1-type Gauss map if and onl","authors_text":"Nurettin Cenk Turgay","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-22T04:34:44Z","title":"On the marginally trapped surfaces in Minkowski space-time with finite type Gauss map"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.5832","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:fd5ea118bbbdfa9abafd9c33e02d178aab1edd4c17d57515435cead7856ac137","target":"record","created_at":"2026-05-18T02:32:31Z","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":"ceb04470da26df657815584b7d3e3bf96c961b38dfceb0af1908553f63f87910","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-22T04:34:44Z","title_canon_sha256":"26778ef0d598c7350aca0dac09bfbfb9a0ababb880d05b1bbc62f6def6c8e4de"},"schema_version":"1.0","source":{"id":"1304.5832","kind":"arxiv","version":2}},"canonical_sha256":"1ea740ed52a47b5709a32344951330c225d71b6cc609592b4f7157e05ded62cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ea740ed52a47b5709a32344951330c225d71b6cc609592b4f7157e05ded62cb","first_computed_at":"2026-05-18T02:32:31.149323Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:31.149323Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wgluvrbUth/jzx7y3M0lbrQZ6IzRvfocIQA8WYnv/bVtr+paNSh1X8MPo7HaUkSChLXSbrKhkuCsT8Zu5ELrCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:31.149677Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.5832","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd5ea118bbbdfa9abafd9c33e02d178aab1edd4c17d57515435cead7856ac137","sha256:e78bd8254b6661a3fcec7e2c14349d7e77570f1b217aae4a161543a650793127"],"state_sha256":"9316aede5aecbe084e1c447537fa3bfcf5a559b4029e8aa03012ca4324e6f414"}