{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IP45U3O6356FDC7XEBARXVW2QY","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":"01dd5d11b4d5488ed2d20f1b9305689ceb4af582433195d08d0d96376620bf51","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-16T12:01:07Z","title_canon_sha256":"58416cc070877a3b31dc416266ea009db867003f33b1648e052d4a077bbd230a"},"schema_version":"1.0","source":{"id":"1602.06252","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.06252","created_at":"2026-05-18T01:20:18Z"},{"alias_kind":"arxiv_version","alias_value":"1602.06252v1","created_at":"2026-05-18T01:20:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06252","created_at":"2026-05-18T01:20:18Z"},{"alias_kind":"pith_short_12","alias_value":"IP45U3O6356F","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IP45U3O6356FDC7X","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IP45U3O6","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:e8ebaf16e65506d241c6db2410be60eee29a43013884216b1097632bf11b87cd","target":"graph","created_at":"2026-05-18T01:20:18Z","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 discuss the thermodynamics of the apparent horizon in $F(R)$ Ho\\v{r}ava-Lifshitz gravity in equilibrium and non-equilibrium ensembles. We show that the second law of thermodynamics can be satisfied in this non relativistic theory.","authors_text":"Abdul Jawad, Davood Momeni, Faiza Gulshan, Ratbay Myrzakulov, Shamaila Rani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-16T12:01:07Z","title":"First and Second Laws of Thermodynamics in Modified Ho\\v{r}ava-Lifshitz $F(R)$ Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06252","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":"sha256:59dd94287b1146614b07d617205373d638a218ac3390dc30e4ffdf75e5403ea2","target":"record","created_at":"2026-05-18T01:20:18Z","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":"01dd5d11b4d5488ed2d20f1b9305689ceb4af582433195d08d0d96376620bf51","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-16T12:01:07Z","title_canon_sha256":"58416cc070877a3b31dc416266ea009db867003f33b1648e052d4a077bbd230a"},"schema_version":"1.0","source":{"id":"1602.06252","kind":"arxiv","version":1}},"canonical_sha256":"43f9da6ddedf7c518bf720411bd6da862c385d87eb075ed7147dc2895b9b5693","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43f9da6ddedf7c518bf720411bd6da862c385d87eb075ed7147dc2895b9b5693","first_computed_at":"2026-05-18T01:20:18.290458Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:18.290458Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ahhV+XBFcG/P/5iO7oCNo5rpR/QMaj6Iqh39m0T1QmKNJxqPG5tDGounnGwMKG5zfC2zbxFVvyhHmC2NVKqwBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:18.290999Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.06252","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59dd94287b1146614b07d617205373d638a218ac3390dc30e4ffdf75e5403ea2","sha256:e8ebaf16e65506d241c6db2410be60eee29a43013884216b1097632bf11b87cd"],"state_sha256":"e105bf49bbc4ef1101635843e3f8ae096aea2a50752b50c3675731903be78219"}