{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:D6QOB7YL3HPLV42XEXOV34WE5J","short_pith_number":"pith:D6QOB7YL","canonical_record":{"source":{"id":"1108.3471","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-17T13:01:33Z","cross_cats_sorted":[],"title_canon_sha256":"485046773da26ccaac9aac98ed1f3e763a15663c234642c14499aa65dffa7553","abstract_canon_sha256":"7dde3fb018046765b6015d33cc5e410a0f77c6a8158f83ad73715e904de43346"},"schema_version":"1.0"},"canonical_sha256":"1fa0e0ff0bd9debaf35725dd5df2c4ea6749a03ab8629f083afaebb0894d09cc","source":{"kind":"arxiv","id":"1108.3471","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.3471","created_at":"2026-05-18T02:00:52Z"},{"alias_kind":"arxiv_version","alias_value":"1108.3471v1","created_at":"2026-05-18T02:00:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.3471","created_at":"2026-05-18T02:00:52Z"},{"alias_kind":"pith_short_12","alias_value":"D6QOB7YL3HPL","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"D6QOB7YL3HPLV42X","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"D6QOB7YL","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:D6QOB7YL3HPLV42XEXOV34WE5J","target":"record","payload":{"canonical_record":{"source":{"id":"1108.3471","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-17T13:01:33Z","cross_cats_sorted":[],"title_canon_sha256":"485046773da26ccaac9aac98ed1f3e763a15663c234642c14499aa65dffa7553","abstract_canon_sha256":"7dde3fb018046765b6015d33cc5e410a0f77c6a8158f83ad73715e904de43346"},"schema_version":"1.0"},"canonical_sha256":"1fa0e0ff0bd9debaf35725dd5df2c4ea6749a03ab8629f083afaebb0894d09cc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:52.868717Z","signature_b64":"OhjxhJr94RxRSpnlpngtObtiBSIV5ny4nt9HM6q2eJhlfOhMcCo22As5bmFtAJAevHG9uVCy/R69g6plvi1hDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1fa0e0ff0bd9debaf35725dd5df2c4ea6749a03ab8629f083afaebb0894d09cc","last_reissued_at":"2026-05-18T02:00:52.868142Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:52.868142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.3471","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:00:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4FD4KWktbYSoG8hBlSPb5YnOk1aEbDTwSXjetVHsE8pra/s3BG3GaSlvOtxpQnL0OtBsFjke6T9WxMDeSKMXAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T14:35:25.903247Z"},"content_sha256":"bf16faeb9a92a2629f34b796f02e45e53f62ab0e377da1f644fa98135d37d7fe","schema_version":"1.0","event_id":"sha256:bf16faeb9a92a2629f34b796f02e45e53f62ab0e377da1f644fa98135d37d7fe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:D6QOB7YL3HPLV42XEXOV34WE5J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A trapped surface in the higher-dimensional self-similar Vaidya spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Masahiro Shimano, Naoki Tsukamoto, Tomohiro Harada","submitted_at":"2011-08-17T13:01:33Z","abstract_excerpt":"We investigate a trapped surface and naked singularity in a $D$-dimensional Vaidya spacetime with a self-similar mass function. A trapped surface is defined as a closed spacelike $(D-2)$-surface which has negative both null expansions. There is no trapped surface in the Minkowski spacetime. However, in a four-dimensional self-similar Vaidya spacetime, Bengtsson and Senovilla considered non-spherical trapped surfaces and showed that a trapped surface can penetrate into a flat region, if and only if the mass function rises fast enough [I. Bengtsson and J. M. M. Senovilla, Phys. Rev. D \\textbf{79"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.3471","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:00:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RXuaBd4Q7aOr+ioSkj8Bzf5wklXrSYadIYUA1ZU7MLz7ABOr4Kh9v+DJZ9XE/dWIKOZfxiELaHK2qM3u6KzLCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T14:35:25.903623Z"},"content_sha256":"7c136419dfd2f270eb5f8514cd89ab3564a0703e76ab36ef129436356e0c709b","schema_version":"1.0","event_id":"sha256:7c136419dfd2f270eb5f8514cd89ab3564a0703e76ab36ef129436356e0c709b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D6QOB7YL3HPLV42XEXOV34WE5J/bundle.json","state_url":"https://pith.science/pith/D6QOB7YL3HPLV42XEXOV34WE5J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D6QOB7YL3HPLV42XEXOV34WE5J/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-09T14:35:25Z","links":{"resolver":"https://pith.science/pith/D6QOB7YL3HPLV42XEXOV34WE5J","bundle":"https://pith.science/pith/D6QOB7YL3HPLV42XEXOV34WE5J/bundle.json","state":"https://pith.science/pith/D6QOB7YL3HPLV42XEXOV34WE5J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D6QOB7YL3HPLV42XEXOV34WE5J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:D6QOB7YL3HPLV42XEXOV34WE5J","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":"7dde3fb018046765b6015d33cc5e410a0f77c6a8158f83ad73715e904de43346","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-17T13:01:33Z","title_canon_sha256":"485046773da26ccaac9aac98ed1f3e763a15663c234642c14499aa65dffa7553"},"schema_version":"1.0","source":{"id":"1108.3471","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.3471","created_at":"2026-05-18T02:00:52Z"},{"alias_kind":"arxiv_version","alias_value":"1108.3471v1","created_at":"2026-05-18T02:00:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.3471","created_at":"2026-05-18T02:00:52Z"},{"alias_kind":"pith_short_12","alias_value":"D6QOB7YL3HPL","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"D6QOB7YL3HPLV42X","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"D6QOB7YL","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:7c136419dfd2f270eb5f8514cd89ab3564a0703e76ab36ef129436356e0c709b","target":"graph","created_at":"2026-05-18T02:00:52Z","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 investigate a trapped surface and naked singularity in a $D$-dimensional Vaidya spacetime with a self-similar mass function. A trapped surface is defined as a closed spacelike $(D-2)$-surface which has negative both null expansions. There is no trapped surface in the Minkowski spacetime. However, in a four-dimensional self-similar Vaidya spacetime, Bengtsson and Senovilla considered non-spherical trapped surfaces and showed that a trapped surface can penetrate into a flat region, if and only if the mass function rises fast enough [I. Bengtsson and J. M. M. Senovilla, Phys. Rev. D \\textbf{79","authors_text":"Masahiro Shimano, Naoki Tsukamoto, Tomohiro Harada","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-17T13:01:33Z","title":"A trapped surface in the higher-dimensional self-similar Vaidya spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.3471","kind":"arxiv","version":1},"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:bf16faeb9a92a2629f34b796f02e45e53f62ab0e377da1f644fa98135d37d7fe","target":"record","created_at":"2026-05-18T02:00:52Z","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":"7dde3fb018046765b6015d33cc5e410a0f77c6a8158f83ad73715e904de43346","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-17T13:01:33Z","title_canon_sha256":"485046773da26ccaac9aac98ed1f3e763a15663c234642c14499aa65dffa7553"},"schema_version":"1.0","source":{"id":"1108.3471","kind":"arxiv","version":1}},"canonical_sha256":"1fa0e0ff0bd9debaf35725dd5df2c4ea6749a03ab8629f083afaebb0894d09cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1fa0e0ff0bd9debaf35725dd5df2c4ea6749a03ab8629f083afaebb0894d09cc","first_computed_at":"2026-05-18T02:00:52.868142Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:52.868142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OhjxhJr94RxRSpnlpngtObtiBSIV5ny4nt9HM6q2eJhlfOhMcCo22As5bmFtAJAevHG9uVCy/R69g6plvi1hDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:52.868717Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.3471","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf16faeb9a92a2629f34b796f02e45e53f62ab0e377da1f644fa98135d37d7fe","sha256:7c136419dfd2f270eb5f8514cd89ab3564a0703e76ab36ef129436356e0c709b"],"state_sha256":"142c38880dc3846b8d105d7feb24ad0903249e87d515bb33a8c46005e5e6e71d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6ilxZFBbHRbf8F/h1SaUVThHurgF1EYflxd20Z3W7lR/QUvtZaq4O1raxNmJZOLOdw/nz3njIta3k0iLx01nAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T14:35:25.905898Z","bundle_sha256":"7a926f561ae283de2412c6fa1f6941d8c81b2f51c6811c3de119132bc20d1c79"}}