{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:2J2IR6NGO3V6KVNO5ZO42RFMVX","short_pith_number":"pith:2J2IR6NG","schema_version":"1.0","canonical_sha256":"d27488f9a676ebe555aeee5dcd44acadf045e9a6b93f0998983dc065ed86a406","source":{"kind":"arxiv","id":"1412.5116","version":1},"attestation_state":"computed","paper":{"title":"Thermodynamics in $f(T)$ Gravity and Corrected Entropies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"M. Sharif, Shamaila Rani","submitted_at":"2014-05-23T16:51:10Z","abstract_excerpt":"This paper is devoted to study the generalized second law of thermodynamics in $f(T)$ gravity. We use quantum corrections such as power-law and logarithmic corrected entropies to the horizon entropy along with Gibbs' equation in the thermal equilibrium state. We derive $f(T)$ model by taking into account a power-law scale factor through the first modified Friedmann equation which obeys the condition for a realistic model. Two types of horizons, i.e., Hubble and event horizons are used to check the validity of the generalized second law of thermodynamics with corrected entropies. We conclude th"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1412.5116","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-05-23T16:51:10Z","cross_cats_sorted":[],"title_canon_sha256":"b69aafb9e7d8f6c0ba267d9eed268be00cd163277ec89ed6e4df36b2aea33178","abstract_canon_sha256":"71af9bd798ed779091b9dbc43a0594b896b5692f1858ef7bcdf65897003e9004"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:09.600618Z","signature_b64":"blnV9fyNyD8mEaWWd+EjWvAaZnWLv268LWJ4MYh14X4ATrTPkBiFQHHJbSuFzJJWi9tvS8BMBLGmKqADvyBMDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d27488f9a676ebe555aeee5dcd44acadf045e9a6b93f0998983dc065ed86a406","last_reissued_at":"2026-05-18T02:31:09.600069Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:09.600069Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Thermodynamics in $f(T)$ Gravity and Corrected Entropies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"M. Sharif, Shamaila Rani","submitted_at":"2014-05-23T16:51:10Z","abstract_excerpt":"This paper is devoted to study the generalized second law of thermodynamics in $f(T)$ gravity. We use quantum corrections such as power-law and logarithmic corrected entropies to the horizon entropy along with Gibbs' equation in the thermal equilibrium state. We derive $f(T)$ model by taking into account a power-law scale factor through the first modified Friedmann equation which obeys the condition for a realistic model. Two types of horizons, i.e., Hubble and event horizons are used to check the validity of the generalized second law of thermodynamics with corrected entropies. We conclude th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.5116","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1412.5116","created_at":"2026-05-18T02:31:09.600165+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.5116v1","created_at":"2026-05-18T02:31:09.600165+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.5116","created_at":"2026-05-18T02:31:09.600165+00:00"},{"alias_kind":"pith_short_12","alias_value":"2J2IR6NGO3V6","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"2J2IR6NGO3V6KVNO","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"2J2IR6NG","created_at":"2026-05-18T12:28:11.866339+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2J2IR6NGO3V6KVNO5ZO42RFMVX","json":"https://pith.science/pith/2J2IR6NGO3V6KVNO5ZO42RFMVX.json","graph_json":"https://pith.science/api/pith-number/2J2IR6NGO3V6KVNO5ZO42RFMVX/graph.json","events_json":"https://pith.science/api/pith-number/2J2IR6NGO3V6KVNO5ZO42RFMVX/events.json","paper":"https://pith.science/paper/2J2IR6NG"},"agent_actions":{"view_html":"https://pith.science/pith/2J2IR6NGO3V6KVNO5ZO42RFMVX","download_json":"https://pith.science/pith/2J2IR6NGO3V6KVNO5ZO42RFMVX.json","view_paper":"https://pith.science/paper/2J2IR6NG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.5116&json=true","fetch_graph":"https://pith.science/api/pith-number/2J2IR6NGO3V6KVNO5ZO42RFMVX/graph.json","fetch_events":"https://pith.science/api/pith-number/2J2IR6NGO3V6KVNO5ZO42RFMVX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2J2IR6NGO3V6KVNO5ZO42RFMVX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2J2IR6NGO3V6KVNO5ZO42RFMVX/action/storage_attestation","attest_author":"https://pith.science/pith/2J2IR6NGO3V6KVNO5ZO42RFMVX/action/author_attestation","sign_citation":"https://pith.science/pith/2J2IR6NGO3V6KVNO5ZO42RFMVX/action/citation_signature","submit_replication":"https://pith.science/pith/2J2IR6NGO3V6KVNO5ZO42RFMVX/action/replication_record"}},"created_at":"2026-05-18T02:31:09.600165+00:00","updated_at":"2026-05-18T02:31:09.600165+00:00"}