{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:PHXUF2XQ4VZQBH6LSDLIBBOJMO","short_pith_number":"pith:PHXUF2XQ","canonical_record":{"source":{"id":"1204.4316","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-04-19T11:30:04Z","cross_cats_sorted":[],"title_canon_sha256":"f46e1a3d7c032fb2ea2254086ff7242f60baf50b52cee4ab6a952cbc619ce085","abstract_canon_sha256":"9ed131ff818e382209949346c80526b2cbcadd7d79faf3b10ee375237c98088c"},"schema_version":"1.0"},"canonical_sha256":"79ef42eaf0e573009fcb90d68085c9638c2307ff9b8e6a99de375dcfe725e554","source":{"kind":"arxiv","id":"1204.4316","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.4316","created_at":"2026-05-18T03:57:27Z"},{"alias_kind":"arxiv_version","alias_value":"1204.4316v1","created_at":"2026-05-18T03:57:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.4316","created_at":"2026-05-18T03:57:27Z"},{"alias_kind":"pith_short_12","alias_value":"PHXUF2XQ4VZQ","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PHXUF2XQ4VZQBH6L","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PHXUF2XQ","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:PHXUF2XQ4VZQBH6LSDLIBBOJMO","target":"record","payload":{"canonical_record":{"source":{"id":"1204.4316","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-04-19T11:30:04Z","cross_cats_sorted":[],"title_canon_sha256":"f46e1a3d7c032fb2ea2254086ff7242f60baf50b52cee4ab6a952cbc619ce085","abstract_canon_sha256":"9ed131ff818e382209949346c80526b2cbcadd7d79faf3b10ee375237c98088c"},"schema_version":"1.0"},"canonical_sha256":"79ef42eaf0e573009fcb90d68085c9638c2307ff9b8e6a99de375dcfe725e554","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:27.792446Z","signature_b64":"yEXh9HYiitErcgbya1gD5hldPr/YwmVr9xxOOticDgeVH7h6mg1FQeqUJ4iss/mi2J2qqy/US4JuqEEHUhSmBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"79ef42eaf0e573009fcb90d68085c9638c2307ff9b8e6a99de375dcfe725e554","last_reissued_at":"2026-05-18T03:57:27.791208Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:27.791208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.4316","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":"2026-05-18T03:57:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rrAebnOPREtyOeB9M9VqzgczkFM6bkvaUPNpNSlFFB16vh+EqYFdl2vrKiepuALbZffmnt7f/Ombh26GoMHjAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:17:48.579729Z"},"content_sha256":"137c49c1ec1704ae903376b6ba3be6e54b4b886f305cdf492a604df61626c6bc","schema_version":"1.0","event_id":"sha256:137c49c1ec1704ae903376b6ba3be6e54b4b886f305cdf492a604df61626c6bc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:PHXUF2XQ4VZQBH6LSDLIBBOJMO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the invariant causal characterization of singularities in spherically symmetric spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Francesc Fayos, Ramon Torres","submitted_at":"2012-04-19T11:30:04Z","abstract_excerpt":"The causal character of singularities is often studied in relation to the existence of naked singularities and the subsequent possible violation of the cosmic censorship conjecture. Generally one constructs a model in the framework of General Relativity described in some specific coordinates and finds an ad hoc procedure to analyze the character of the singularity. In this article we show that the causal character of the zero-areal-radius (R=0) singularity in spherically symmetric models is related with some specific invariants. In this way, if some assumptions are satisfied, one can ascertain"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.4316","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":"2026-05-18T03:57:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9thUMygh06++bGyWQqByzKAKHcjgxLeb7zLz+RfIgK+kFibyNsWpfB/vXLJ6LLwiko4rKKdbkUcK+hcIU3ziBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:17:48.580073Z"},"content_sha256":"2941420d78d66a17bfe13430008f076f2592ac595043595874c9a74958a3ae12","schema_version":"1.0","event_id":"sha256:2941420d78d66a17bfe13430008f076f2592ac595043595874c9a74958a3ae12"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PHXUF2XQ4VZQBH6LSDLIBBOJMO/bundle.json","state_url":"https://pith.science/pith/PHXUF2XQ4VZQBH6LSDLIBBOJMO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PHXUF2XQ4VZQBH6LSDLIBBOJMO/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":"2026-06-03T20:17:48Z","links":{"resolver":"https://pith.science/pith/PHXUF2XQ4VZQBH6LSDLIBBOJMO","bundle":"https://pith.science/pith/PHXUF2XQ4VZQBH6LSDLIBBOJMO/bundle.json","state":"https://pith.science/pith/PHXUF2XQ4VZQBH6LSDLIBBOJMO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PHXUF2XQ4VZQBH6LSDLIBBOJMO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:PHXUF2XQ4VZQBH6LSDLIBBOJMO","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":"9ed131ff818e382209949346c80526b2cbcadd7d79faf3b10ee375237c98088c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-04-19T11:30:04Z","title_canon_sha256":"f46e1a3d7c032fb2ea2254086ff7242f60baf50b52cee4ab6a952cbc619ce085"},"schema_version":"1.0","source":{"id":"1204.4316","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.4316","created_at":"2026-05-18T03:57:27Z"},{"alias_kind":"arxiv_version","alias_value":"1204.4316v1","created_at":"2026-05-18T03:57:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.4316","created_at":"2026-05-18T03:57:27Z"},{"alias_kind":"pith_short_12","alias_value":"PHXUF2XQ4VZQ","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PHXUF2XQ4VZQBH6L","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PHXUF2XQ","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:2941420d78d66a17bfe13430008f076f2592ac595043595874c9a74958a3ae12","target":"graph","created_at":"2026-05-18T03:57:27Z","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":"The causal character of singularities is often studied in relation to the existence of naked singularities and the subsequent possible violation of the cosmic censorship conjecture. Generally one constructs a model in the framework of General Relativity described in some specific coordinates and finds an ad hoc procedure to analyze the character of the singularity. In this article we show that the causal character of the zero-areal-radius (R=0) singularity in spherically symmetric models is related with some specific invariants. In this way, if some assumptions are satisfied, one can ascertain","authors_text":"Francesc Fayos, Ramon Torres","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-04-19T11:30:04Z","title":"On the invariant causal characterization of singularities in spherically symmetric spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.4316","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":"sha256:137c49c1ec1704ae903376b6ba3be6e54b4b886f305cdf492a604df61626c6bc","target":"record","created_at":"2026-05-18T03:57:27Z","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":"9ed131ff818e382209949346c80526b2cbcadd7d79faf3b10ee375237c98088c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-04-19T11:30:04Z","title_canon_sha256":"f46e1a3d7c032fb2ea2254086ff7242f60baf50b52cee4ab6a952cbc619ce085"},"schema_version":"1.0","source":{"id":"1204.4316","kind":"arxiv","version":1}},"canonical_sha256":"79ef42eaf0e573009fcb90d68085c9638c2307ff9b8e6a99de375dcfe725e554","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"79ef42eaf0e573009fcb90d68085c9638c2307ff9b8e6a99de375dcfe725e554","first_computed_at":"2026-05-18T03:57:27.791208Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:57:27.791208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yEXh9HYiitErcgbya1gD5hldPr/YwmVr9xxOOticDgeVH7h6mg1FQeqUJ4iss/mi2J2qqy/US4JuqEEHUhSmBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:57:27.792446Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.4316","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:137c49c1ec1704ae903376b6ba3be6e54b4b886f305cdf492a604df61626c6bc","sha256:2941420d78d66a17bfe13430008f076f2592ac595043595874c9a74958a3ae12"],"state_sha256":"b45afe22053318298bdaaee758e48b132bc781037f104ad226d7724ad96ef9dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rcavrVGKE2mZkujmcLQ9lRR8fZBB1o8BAU5JskNB1Ije72jc1fDrscFoIfOjnUOJMAlqqjYQNXY8bH0sFcewCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T20:17:48.582197Z","bundle_sha256":"dad73a2e1ab870db3d545b75089899392da6938445f66d8be3b96c66f50dfe31"}}