{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:HTVGJALNRZ3ZB4EPE6AOZQZN5K","short_pith_number":"pith:HTVGJALN","schema_version":"1.0","canonical_sha256":"3cea64816d8e7790f08f2780ecc32dea86123555eeaceb99d36d913659008092","source":{"kind":"arxiv","id":"1406.3712","version":2},"attestation_state":"computed","paper":{"title":"Generalized entropies and the expansion law of the universe","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Behrouz Mirza, Fatemeh Lalehgani Dezaki","submitted_at":"2014-06-14T10:21:24Z","abstract_excerpt":"We suggest that using the first law of thermodynamics is a convenient method to obtain a correct form of the expansion law of the universe \\cite{T. Padmanabhan1}. We will, then, use this idea to obtain the expansion law for a Kodama observer. By using the expansion law for a Kodama observer, we can obtain the dynamic equation of the FRW universe for deformed Horava-Lifshitz gravity. The use of the first law of thermodynamics also leads to a new approach for obtaining the Friedmann equations for f(R) and scalar tensor gravities."},"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":"1406.3712","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-06-14T10:21:24Z","cross_cats_sorted":[],"title_canon_sha256":"783234e0e1b6df58eaae50680f7bd6258089b2c7dd6a0bb54d723bea3aaca005","abstract_canon_sha256":"564cb17fbccd0f43521de0db5cfc2466d08031969b0a8adb41eb39ae7eb2c737"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:21.523537Z","signature_b64":"m1fg8rwHTQXooKnqLganvZj+imU0kSJyWVR7G7QVoeffmHE4lLtoxq5Fa6/xhydxblHYLu+OVadnIBnRYLnyCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3cea64816d8e7790f08f2780ecc32dea86123555eeaceb99d36d913659008092","last_reissued_at":"2026-05-18T01:37:21.522892Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:21.522892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized entropies and the expansion law of the universe","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Behrouz Mirza, Fatemeh Lalehgani Dezaki","submitted_at":"2014-06-14T10:21:24Z","abstract_excerpt":"We suggest that using the first law of thermodynamics is a convenient method to obtain a correct form of the expansion law of the universe \\cite{T. Padmanabhan1}. We will, then, use this idea to obtain the expansion law for a Kodama observer. By using the expansion law for a Kodama observer, we can obtain the dynamic equation of the FRW universe for deformed Horava-Lifshitz gravity. The use of the first law of thermodynamics also leads to a new approach for obtaining the Friedmann equations for f(R) and scalar tensor gravities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3712","kind":"arxiv","version":2},"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":"1406.3712","created_at":"2026-05-18T01:37:21.523027+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.3712v2","created_at":"2026-05-18T01:37:21.523027+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3712","created_at":"2026-05-18T01:37:21.523027+00:00"},{"alias_kind":"pith_short_12","alias_value":"HTVGJALNRZ3Z","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"HTVGJALNRZ3ZB4EP","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"HTVGJALN","created_at":"2026-05-18T12:28:30.664211+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/HTVGJALNRZ3ZB4EPE6AOZQZN5K","json":"https://pith.science/pith/HTVGJALNRZ3ZB4EPE6AOZQZN5K.json","graph_json":"https://pith.science/api/pith-number/HTVGJALNRZ3ZB4EPE6AOZQZN5K/graph.json","events_json":"https://pith.science/api/pith-number/HTVGJALNRZ3ZB4EPE6AOZQZN5K/events.json","paper":"https://pith.science/paper/HTVGJALN"},"agent_actions":{"view_html":"https://pith.science/pith/HTVGJALNRZ3ZB4EPE6AOZQZN5K","download_json":"https://pith.science/pith/HTVGJALNRZ3ZB4EPE6AOZQZN5K.json","view_paper":"https://pith.science/paper/HTVGJALN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.3712&json=true","fetch_graph":"https://pith.science/api/pith-number/HTVGJALNRZ3ZB4EPE6AOZQZN5K/graph.json","fetch_events":"https://pith.science/api/pith-number/HTVGJALNRZ3ZB4EPE6AOZQZN5K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HTVGJALNRZ3ZB4EPE6AOZQZN5K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HTVGJALNRZ3ZB4EPE6AOZQZN5K/action/storage_attestation","attest_author":"https://pith.science/pith/HTVGJALNRZ3ZB4EPE6AOZQZN5K/action/author_attestation","sign_citation":"https://pith.science/pith/HTVGJALNRZ3ZB4EPE6AOZQZN5K/action/citation_signature","submit_replication":"https://pith.science/pith/HTVGJALNRZ3ZB4EPE6AOZQZN5K/action/replication_record"}},"created_at":"2026-05-18T01:37:21.523027+00:00","updated_at":"2026-05-18T01:37:21.523027+00:00"}