{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:ILC2YR2QMZM6JSRJD3D6ZYGKUG","short_pith_number":"pith:ILC2YR2Q","canonical_record":{"source":{"id":"1008.1127","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-08-06T07:24:39Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"423828afbf853ccadd1e9342439bdffe3aa9ccaa542a8193043f456013a0ed62","abstract_canon_sha256":"8b4b126e8680a1c346b695b01ea7c87aa8b00187fd33681c38a5467148bba7a5"},"schema_version":"1.0"},"canonical_sha256":"42c5ac47506659e4ca291ec7ece0caa1b3460d8efbb5a5164f509e9a76c4828d","source":{"kind":"arxiv","id":"1008.1127","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.1127","created_at":"2026-05-18T03:10:12Z"},{"alias_kind":"arxiv_version","alias_value":"1008.1127v1","created_at":"2026-05-18T03:10:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.1127","created_at":"2026-05-18T03:10:12Z"},{"alias_kind":"pith_short_12","alias_value":"ILC2YR2QMZM6","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"ILC2YR2QMZM6JSRJ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"ILC2YR2Q","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:ILC2YR2QMZM6JSRJD3D6ZYGKUG","target":"record","payload":{"canonical_record":{"source":{"id":"1008.1127","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-08-06T07:24:39Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"423828afbf853ccadd1e9342439bdffe3aa9ccaa542a8193043f456013a0ed62","abstract_canon_sha256":"8b4b126e8680a1c346b695b01ea7c87aa8b00187fd33681c38a5467148bba7a5"},"schema_version":"1.0"},"canonical_sha256":"42c5ac47506659e4ca291ec7ece0caa1b3460d8efbb5a5164f509e9a76c4828d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:12.485531Z","signature_b64":"c6f3waYox8TRSV59s0XYIRws1f4rr+iAT1gig8JQKHJ9gnpdq7sI3PWF3hZfI1238jKkYnRoSSoj6i0Npi7+Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42c5ac47506659e4ca291ec7ece0caa1b3460d8efbb5a5164f509e9a76c4828d","last_reissued_at":"2026-05-18T03:10:12.484817Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:12.484817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.1127","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":"2026-05-18T03:10:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vXPSHNvIcwShtj1ddBVEAUGIDTJB9zfnc/AlvUuxIR5d1kMqKrs4TCKasr1kIUhPsUnKH7jVmriSjyMBHx8aCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:01:04.061095Z"},"content_sha256":"b815e1cae8ecba64ddf9b11ed0e2566e08f6157ad020f4874b108d5ca1461e93","schema_version":"1.0","event_id":"sha256:b815e1cae8ecba64ddf9b11ed0e2566e08f6157ad020f4874b108d5ca1461e93"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:ILC2YR2QMZM6JSRJD3D6ZYGKUG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Closed timelike curves and causality violation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","hep-th"],"primary_cat":"gr-qc","authors_text":"Francisco S. N. Lobo","submitted_at":"2010-08-06T07:24:39Z","abstract_excerpt":"The conceptual definition and understanding of time, both quantitatively and qualitatively is of the utmost difficulty and importance. As time is incorporated into the proper structure of the fabric of spacetime, it is interesting to note that General Relativity is contaminated with non-trivial geometries which generate closed timelike curves. A closed timelike curve (CTC) allows time travel, in the sense that an observer that travels on a trajectory in spacetime along this curve, may return to an event before his departure. This fact apparently violates causality, therefore time travel and it"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.1127","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":"2026-05-18T03:10:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8D5ifO0hlFCRGqVOlqdVb29Hz718T4kzVEGqLWmaKX6viI1GDEJvVbNMpgvk+w2UbzlUse+32QRoUZm1272IAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:01:04.061446Z"},"content_sha256":"63d39455d8b5f9cc8f27730bc8762dcf438f043b46eedfd910be7aad8917ce85","schema_version":"1.0","event_id":"sha256:63d39455d8b5f9cc8f27730bc8762dcf438f043b46eedfd910be7aad8917ce85"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ILC2YR2QMZM6JSRJD3D6ZYGKUG/bundle.json","state_url":"https://pith.science/pith/ILC2YR2QMZM6JSRJD3D6ZYGKUG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ILC2YR2QMZM6JSRJD3D6ZYGKUG/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":"2026-06-02T17:01:04Z","links":{"resolver":"https://pith.science/pith/ILC2YR2QMZM6JSRJD3D6ZYGKUG","bundle":"https://pith.science/pith/ILC2YR2QMZM6JSRJD3D6ZYGKUG/bundle.json","state":"https://pith.science/pith/ILC2YR2QMZM6JSRJD3D6ZYGKUG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ILC2YR2QMZM6JSRJD3D6ZYGKUG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ILC2YR2QMZM6JSRJD3D6ZYGKUG","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":"8b4b126e8680a1c346b695b01ea7c87aa8b00187fd33681c38a5467148bba7a5","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-08-06T07:24:39Z","title_canon_sha256":"423828afbf853ccadd1e9342439bdffe3aa9ccaa542a8193043f456013a0ed62"},"schema_version":"1.0","source":{"id":"1008.1127","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.1127","created_at":"2026-05-18T03:10:12Z"},{"alias_kind":"arxiv_version","alias_value":"1008.1127v1","created_at":"2026-05-18T03:10:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.1127","created_at":"2026-05-18T03:10:12Z"},{"alias_kind":"pith_short_12","alias_value":"ILC2YR2QMZM6","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"ILC2YR2QMZM6JSRJ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"ILC2YR2Q","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:63d39455d8b5f9cc8f27730bc8762dcf438f043b46eedfd910be7aad8917ce85","target":"graph","created_at":"2026-05-18T03:10:12Z","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 conceptual definition and understanding of time, both quantitatively and qualitatively is of the utmost difficulty and importance. As time is incorporated into the proper structure of the fabric of spacetime, it is interesting to note that General Relativity is contaminated with non-trivial geometries which generate closed timelike curves. A closed timelike curve (CTC) allows time travel, in the sense that an observer that travels on a trajectory in spacetime along this curve, may return to an event before his departure. This fact apparently violates causality, therefore time travel and it","authors_text":"Francisco S. N. Lobo","cross_cats":["astro-ph.HE","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-08-06T07:24:39Z","title":"Closed timelike curves and causality violation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.1127","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:b815e1cae8ecba64ddf9b11ed0e2566e08f6157ad020f4874b108d5ca1461e93","target":"record","created_at":"2026-05-18T03:10:12Z","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":"8b4b126e8680a1c346b695b01ea7c87aa8b00187fd33681c38a5467148bba7a5","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-08-06T07:24:39Z","title_canon_sha256":"423828afbf853ccadd1e9342439bdffe3aa9ccaa542a8193043f456013a0ed62"},"schema_version":"1.0","source":{"id":"1008.1127","kind":"arxiv","version":1}},"canonical_sha256":"42c5ac47506659e4ca291ec7ece0caa1b3460d8efbb5a5164f509e9a76c4828d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42c5ac47506659e4ca291ec7ece0caa1b3460d8efbb5a5164f509e9a76c4828d","first_computed_at":"2026-05-18T03:10:12.484817Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:12.484817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c6f3waYox8TRSV59s0XYIRws1f4rr+iAT1gig8JQKHJ9gnpdq7sI3PWF3hZfI1238jKkYnRoSSoj6i0Npi7+Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:12.485531Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.1127","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b815e1cae8ecba64ddf9b11ed0e2566e08f6157ad020f4874b108d5ca1461e93","sha256:63d39455d8b5f9cc8f27730bc8762dcf438f043b46eedfd910be7aad8917ce85"],"state_sha256":"773639c4f2ea12a60d202609b34897f3c75ab61b8e2880363e3680ee0557705b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jsuIq3dcg9KX32f0tXU7Kc+UA9EXpV2ZBoDo8vuP/n5gSSw/xcirJj+oa7G52yQwQq9fS36g3Xaqw+7Hu00fBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T17:01:04.063274Z","bundle_sha256":"fbf231808bd8d3ba916bc7907c2ee0211ed29bd4fb14e88e0f023f21bcf4175e"}}