{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:PEOCZU3TEMNLLSWSKX4HAIISRS","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":"805a1ed3f80c8baf312e1f5408c704eb04e3481881bd4bc6c7b0e5ad525b9abe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-01-12T10:04:43Z","title_canon_sha256":"5c049df8b78be3244c85ab21bbe37ee99efeda410214d617e2a2f8bdba93e5dc"},"schema_version":"1.0","source":{"id":"1201.2511","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.2511","created_at":"2026-05-18T03:58:12Z"},{"alias_kind":"arxiv_version","alias_value":"1201.2511v2","created_at":"2026-05-18T03:58:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.2511","created_at":"2026-05-18T03:58:12Z"},{"alias_kind":"pith_short_12","alias_value":"PEOCZU3TEMNL","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PEOCZU3TEMNLLSWS","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PEOCZU3T","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:43c6c4ffdde356e1c1702d05934b21a7e6a92ae9bfa5d81dfa36f32741df5e8a","target":"graph","created_at":"2026-05-18T03:58:12Z","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":"We investigate the validity of the generalized second law (GSL) of gravitational thermodynamics in the framework of f(T) modified teleparallel gravity. We consider a spatially flat FRW universe containing only the pressureless matter. The boundary of the universe is assumed to be enclosed by the Hubble horizon. For two viable f(T) models containing $f(T)=T+\\mu_1{(-T)}^n$ and $f(T)=T-\\mu_2 T(1-e^{\\beta\\frac{T_0}{T}})$, we first calculate the effective equation of state and deceleration parameters. Then, we investigate the null and strong energy conditions and conclude that a sudden future singu","authors_text":"A. Abdolmaleki, K. Karami","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-01-12T10:04:43Z","title":"Generalized second law of thermodynamics in f(T) gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.2511","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:ccf9f4196c46999b5fced8a966b06d96e3ed08c33e9d9968b7a66484ba1fc4df","target":"record","created_at":"2026-05-18T03:58:12Z","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":"805a1ed3f80c8baf312e1f5408c704eb04e3481881bd4bc6c7b0e5ad525b9abe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-01-12T10:04:43Z","title_canon_sha256":"5c049df8b78be3244c85ab21bbe37ee99efeda410214d617e2a2f8bdba93e5dc"},"schema_version":"1.0","source":{"id":"1201.2511","kind":"arxiv","version":2}},"canonical_sha256":"791c2cd373231ab5cad255f87021128cbeb8ca72415d82bd00c5c07919621bc8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"791c2cd373231ab5cad255f87021128cbeb8ca72415d82bd00c5c07919621bc8","first_computed_at":"2026-05-18T03:58:12.426122Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:58:12.426122Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"87woGjKBmukyRIEST6/lD/Y8pg6EGzMVXr4AaOIIToVDOiuRW2c8m4fXAhO9G5AoGVLV1fft2mMeWb1PrrlSCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:58:12.426745Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.2511","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ccf9f4196c46999b5fced8a966b06d96e3ed08c33e9d9968b7a66484ba1fc4df","sha256:43c6c4ffdde356e1c1702d05934b21a7e6a92ae9bfa5d81dfa36f32741df5e8a"],"state_sha256":"37a9ec982bc4aaa298ae6e3d28ce94d13006b0a1cdb02aa40e721e8e2d869251"}