{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:URLZOF3DVQN4EUPLZZTYDFJ7RY","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":"bc4481f41de58891cf73435e0d18a0376e0bda4b1ae404df6cf1b96f72a697e9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"gr-qc","submitted_at":"2012-03-09T08:38:59Z","title_canon_sha256":"1b884fc400da731e588283d4222162f433d45797a21f95bf84a506997fffd2e5"},"schema_version":"1.0","source":{"id":"1203.2016","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.2016","created_at":"2026-05-18T03:43:27Z"},{"alias_kind":"arxiv_version","alias_value":"1203.2016v4","created_at":"2026-05-18T03:43:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.2016","created_at":"2026-05-18T03:43:27Z"},{"alias_kind":"pith_short_12","alias_value":"URLZOF3DVQN4","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"URLZOF3DVQN4EUPL","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"URLZOF3D","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:21b9f443fd3070e193e701d5d8f885a4b621ac04c395d0e53abacf10889e33ae","target":"graph","created_at":"2026-05-18T03:43:27Z","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 issue of causality in $f(T)$ gravity is investigated by examining the possibility of existence of the closed timelike curves in the G\\\"{o}del-type metric. By assuming a perfect fluid as the matter source, we find that the fluid must have an equation of state parameter greater than minus one in order to allow the G\\\"{o}del solutions to exist, and furthermore the critical radius $r_c$, beyond which the causality is broken down, is finite and it depends on both matter and gravity. Remarkably, for certain $f(T)$ models, the perfect fluid that allows the G\\\"{o}del-type solutions can even be nor","authors_text":"Di Liu, Hongwei Yu, Puxun Wu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"gr-qc","submitted_at":"2012-03-09T08:38:59Z","title":"G\\\"odel-type universes in f(T) gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.2016","kind":"arxiv","version":4},"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":"sha256:71472813a3357919d5d389908d8fda4c20d2c2c92cedf36e86ad46ed81281a09","target":"record","created_at":"2026-05-18T03:43:27Z","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":"bc4481f41de58891cf73435e0d18a0376e0bda4b1ae404df6cf1b96f72a697e9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"gr-qc","submitted_at":"2012-03-09T08:38:59Z","title_canon_sha256":"1b884fc400da731e588283d4222162f433d45797a21f95bf84a506997fffd2e5"},"schema_version":"1.0","source":{"id":"1203.2016","kind":"arxiv","version":4}},"canonical_sha256":"a457971763ac1bc251ebce6781953f8e0f03e5097573a128dbebe35dc27e7876","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a457971763ac1bc251ebce6781953f8e0f03e5097573a128dbebe35dc27e7876","first_computed_at":"2026-05-18T03:43:27.204486Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:43:27.204486Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xeCB5RhEGPWIf6C3t4d4Di2uEVOTfpTWjiwVc3wfUe1xFEomLuSwi3Db7p9w5OZqQ8zh2afqKeUsWY//EZdlBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:43:27.205023Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.2016","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:71472813a3357919d5d389908d8fda4c20d2c2c92cedf36e86ad46ed81281a09","sha256:21b9f443fd3070e193e701d5d8f885a4b621ac04c395d0e53abacf10889e33ae"],"state_sha256":"ab81bf37c2f6675f03f919d0164fed3dc509c1478f60ff486042f6c193f23e72"}