{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:3FDQXGGC6UVB4VOIRI6UQYIATJ","short_pith_number":"pith:3FDQXGGC","canonical_record":{"source":{"id":"1602.03584","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-11T00:37:50Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"0c4a1966cb91e09ebfc1da1082fda5e62d0b527227681fcde638174e16d46d5b","abstract_canon_sha256":"2aaa14147f061b967e627ba5d611acf4793ba99858c5fb6b3c8248f879698a52"},"schema_version":"1.0"},"canonical_sha256":"d9470b98c2f52a1e55c88a3d4861009a5d0de522cbfbc4231f775e6a5005f447","source":{"kind":"arxiv","id":"1602.03584","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.03584","created_at":"2026-05-18T01:03:19Z"},{"alias_kind":"arxiv_version","alias_value":"1602.03584v2","created_at":"2026-05-18T01:03:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.03584","created_at":"2026-05-18T01:03:19Z"},{"alias_kind":"pith_short_12","alias_value":"3FDQXGGC6UVB","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3FDQXGGC6UVB4VOI","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3FDQXGGC","created_at":"2026-05-18T12:29:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:3FDQXGGC6UVB4VOIRI6UQYIATJ","target":"record","payload":{"canonical_record":{"source":{"id":"1602.03584","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-11T00:37:50Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"0c4a1966cb91e09ebfc1da1082fda5e62d0b527227681fcde638174e16d46d5b","abstract_canon_sha256":"2aaa14147f061b967e627ba5d611acf4793ba99858c5fb6b3c8248f879698a52"},"schema_version":"1.0"},"canonical_sha256":"d9470b98c2f52a1e55c88a3d4861009a5d0de522cbfbc4231f775e6a5005f447","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:19.755948Z","signature_b64":"KedBMFCBYupyHvfmuxROVwdr2K3UAm7GTbOyXetzl2eF7VkbK89OwVKILa8iBBuSn52ilIhzgaAClzIiOsTnBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d9470b98c2f52a1e55c88a3d4861009a5d0de522cbfbc4231f775e6a5005f447","last_reissued_at":"2026-05-18T01:03:19.755457Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:19.755457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.03584","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:03:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tyXnmK6QwQhQ3TB20pXO8Pc++INnzZg441nE/RrRBoqz1VnAGAgPl9Bo9KYQa/HSn69POSicadDq5VxYf0PwBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:06:02.169477Z"},"content_sha256":"6e56a5a23a76a0f5f52f2ff80822929ed13d1f9915182871cee9d413c541f0c3","schema_version":"1.0","event_id":"sha256:6e56a5a23a76a0f5f52f2ff80822929ed13d1f9915182871cee9d413c541f0c3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:3FDQXGGC6UVB4VOIRI6UQYIATJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalised hyperbolicity in spacetimes with string-like singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"gr-qc","authors_text":"James A. Vickers, Yafet Sanchez Sanchez","submitted_at":"2016-02-11T00:37:50Z","abstract_excerpt":"In this paper we present well-posedness results of the wave equation in $H^{1}$ for spacetimes that contain string-like singularities. These results extend a framework able to characterise gravitational singularities as obstruction to the dynamics of test fields rather than point particles. In particular, we discuss spacetimes with cosmic strings and the relation of our results to the Strong Cosmic Censorship Conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.03584","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":""},"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":"2026-05-18T01:03:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bjJrSpKVtZNSJ9bc8wL0hgWJtC0fenkLS9s9KRyB8uFIV372duC6TbvrCb5B7hehrXzWlLwbQxUKmsJ1cOzBBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:06:02.170148Z"},"content_sha256":"016efcaca0acfa2707207318681cab4345dd3c4211809b350aa49010ef7d9627","schema_version":"1.0","event_id":"sha256:016efcaca0acfa2707207318681cab4345dd3c4211809b350aa49010ef7d9627"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3FDQXGGC6UVB4VOIRI6UQYIATJ/bundle.json","state_url":"https://pith.science/pith/3FDQXGGC6UVB4VOIRI6UQYIATJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3FDQXGGC6UVB4VOIRI6UQYIATJ/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":"2026-05-28T22:06:02Z","links":{"resolver":"https://pith.science/pith/3FDQXGGC6UVB4VOIRI6UQYIATJ","bundle":"https://pith.science/pith/3FDQXGGC6UVB4VOIRI6UQYIATJ/bundle.json","state":"https://pith.science/pith/3FDQXGGC6UVB4VOIRI6UQYIATJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3FDQXGGC6UVB4VOIRI6UQYIATJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3FDQXGGC6UVB4VOIRI6UQYIATJ","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":"2aaa14147f061b967e627ba5d611acf4793ba99858c5fb6b3c8248f879698a52","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-11T00:37:50Z","title_canon_sha256":"0c4a1966cb91e09ebfc1da1082fda5e62d0b527227681fcde638174e16d46d5b"},"schema_version":"1.0","source":{"id":"1602.03584","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.03584","created_at":"2026-05-18T01:03:19Z"},{"alias_kind":"arxiv_version","alias_value":"1602.03584v2","created_at":"2026-05-18T01:03:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.03584","created_at":"2026-05-18T01:03:19Z"},{"alias_kind":"pith_short_12","alias_value":"3FDQXGGC6UVB","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3FDQXGGC6UVB4VOI","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3FDQXGGC","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:016efcaca0acfa2707207318681cab4345dd3c4211809b350aa49010ef7d9627","target":"graph","created_at":"2026-05-18T01:03:19Z","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 present well-posedness results of the wave equation in $H^{1}$ for spacetimes that contain string-like singularities. These results extend a framework able to characterise gravitational singularities as obstruction to the dynamics of test fields rather than point particles. In particular, we discuss spacetimes with cosmic strings and the relation of our results to the Strong Cosmic Censorship Conjecture.","authors_text":"James A. Vickers, Yafet Sanchez Sanchez","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-11T00:37:50Z","title":"Generalised hyperbolicity in spacetimes with string-like singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.03584","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":"sha256:6e56a5a23a76a0f5f52f2ff80822929ed13d1f9915182871cee9d413c541f0c3","target":"record","created_at":"2026-05-18T01:03:19Z","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":"2aaa14147f061b967e627ba5d611acf4793ba99858c5fb6b3c8248f879698a52","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-11T00:37:50Z","title_canon_sha256":"0c4a1966cb91e09ebfc1da1082fda5e62d0b527227681fcde638174e16d46d5b"},"schema_version":"1.0","source":{"id":"1602.03584","kind":"arxiv","version":2}},"canonical_sha256":"d9470b98c2f52a1e55c88a3d4861009a5d0de522cbfbc4231f775e6a5005f447","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9470b98c2f52a1e55c88a3d4861009a5d0de522cbfbc4231f775e6a5005f447","first_computed_at":"2026-05-18T01:03:19.755457Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:19.755457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KedBMFCBYupyHvfmuxROVwdr2K3UAm7GTbOyXetzl2eF7VkbK89OwVKILa8iBBuSn52ilIhzgaAClzIiOsTnBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:19.755948Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.03584","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e56a5a23a76a0f5f52f2ff80822929ed13d1f9915182871cee9d413c541f0c3","sha256:016efcaca0acfa2707207318681cab4345dd3c4211809b350aa49010ef7d9627"],"state_sha256":"f74fb439881994920ddf2cae6c2a1be6e56260e1e32683525d9c69b3897506f7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dgVPEOlp+wtwS1wFtI+SfSCSm2fdEdAfMCTkMDYo75FC1bfjwW3bKmNsJQ4LfoWa+1mk81SceU8N9Kx4J/0TDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T22:06:02.173894Z","bundle_sha256":"ddddd762516a5422e10c5d3643553a750466c57ed164b8217fe71775deed6e6e"}}