{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:QWZVSASWVRX3TX33A3WOL2OAGU","short_pith_number":"pith:QWZVSASW","schema_version":"1.0","canonical_sha256":"85b3590256ac6fb9df7b06ece5e9c03508b553fe915fae2d78a6cd9fefafaca7","source":{"kind":"arxiv","id":"hep-th/0607240","version":2},"attestation_state":"computed","paper":{"title":"Thermodynamic route to Field equations in Lanczos-Lovelock Gravity","license":"","headline":"","cross_cats":["astro-ph","gr-qc"],"primary_cat":"hep-th","authors_text":"Aseem Paranjape, Sudipta Sarkar, T. Padmanabhan","submitted_at":"2006-07-29T13:48:34Z","abstract_excerpt":"Spacetimes with horizons show a resemblance to thermodynamic systems and one can associate the notions of temperature and entropy with them. In the case of Einstein-Hilbert gravity, it is possible to interpret Einstein's equations as the thermodynamic identity TdS = dE + PdV for a spherically symmetric spacetime and thus provide a thermodynamic route to understand the dynamics of gravity. We study this approach further and show that the field equations for Lanczos-Lovelock action in a spherically symmetric spacetime can also be expressed as TdS = dE + PdV with S and E being given by expression"},"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":"hep-th/0607240","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-07-29T13:48:34Z","cross_cats_sorted":["astro-ph","gr-qc"],"title_canon_sha256":"8c04bf6b2d98649fcdb91bfd42ffcd23c6c70bff87d391339519fad74449138f","abstract_canon_sha256":"6cb4b494dcc9e1f4da2ac1e2c4ec5a8816860e0c7e3b26a22f21ba2a0dccc3d6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:26:06.874575Z","signature_b64":"VG0SHNYHkaw834go8Z6x7PgZLmeBRW1KEnhHozCvuqAhz4uT+FfDobaPF4CAvz0363l22ZxKQ/YINyu5HXoSCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85b3590256ac6fb9df7b06ece5e9c03508b553fe915fae2d78a6cd9fefafaca7","last_reissued_at":"2026-07-04T15:26:06.874146Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:26:06.874146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Thermodynamic route to Field equations in Lanczos-Lovelock Gravity","license":"","headline":"","cross_cats":["astro-ph","gr-qc"],"primary_cat":"hep-th","authors_text":"Aseem Paranjape, Sudipta Sarkar, T. Padmanabhan","submitted_at":"2006-07-29T13:48:34Z","abstract_excerpt":"Spacetimes with horizons show a resemblance to thermodynamic systems and one can associate the notions of temperature and entropy with them. In the case of Einstein-Hilbert gravity, it is possible to interpret Einstein's equations as the thermodynamic identity TdS = dE + PdV for a spherically symmetric spacetime and thus provide a thermodynamic route to understand the dynamics of gravity. We study this approach further and show that the field equations for Lanczos-Lovelock action in a spherically symmetric spacetime can also be expressed as TdS = dE + PdV with S and E being given by expression"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0607240","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0607240/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"hep-th/0607240","created_at":"2026-07-04T15:26:06.874206+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0607240v2","created_at":"2026-07-04T15:26:06.874206+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0607240","created_at":"2026-07-04T15:26:06.874206+00:00"},{"alias_kind":"pith_short_12","alias_value":"QWZVSASWVRX3","created_at":"2026-07-04T15:26:06.874206+00:00"},{"alias_kind":"pith_short_16","alias_value":"QWZVSASWVRX3TX33","created_at":"2026-07-04T15:26:06.874206+00:00"},{"alias_kind":"pith_short_8","alias_value":"QWZVSASW","created_at":"2026-07-04T15:26:06.874206+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":4,"sample":[{"citing_arxiv_id":"2605.29814","citing_title":"Modified Entropy from Action Principle","ref_index":8,"is_internal_anchor":true},{"citing_arxiv_id":"2603.03568","citing_title":"Observational constraints on Luciano-Saridakis entropic cosmology","ref_index":34,"is_internal_anchor":true},{"citing_arxiv_id":"2509.05052","citing_title":"Semi-classical spacetime thermodynamics","ref_index":8,"is_internal_anchor":true},{"citing_arxiv_id":"1608.06147","citing_title":"Black hole chemistry: thermodynamics with Lambda","ref_index":131,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QWZVSASWVRX3TX33A3WOL2OAGU","json":"https://pith.science/pith/QWZVSASWVRX3TX33A3WOL2OAGU.json","graph_json":"https://pith.science/api/pith-number/QWZVSASWVRX3TX33A3WOL2OAGU/graph.json","events_json":"https://pith.science/api/pith-number/QWZVSASWVRX3TX33A3WOL2OAGU/events.json","paper":"https://pith.science/paper/QWZVSASW"},"agent_actions":{"view_html":"https://pith.science/pith/QWZVSASWVRX3TX33A3WOL2OAGU","download_json":"https://pith.science/pith/QWZVSASWVRX3TX33A3WOL2OAGU.json","view_paper":"https://pith.science/paper/QWZVSASW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0607240&json=true","fetch_graph":"https://pith.science/api/pith-number/QWZVSASWVRX3TX33A3WOL2OAGU/graph.json","fetch_events":"https://pith.science/api/pith-number/QWZVSASWVRX3TX33A3WOL2OAGU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QWZVSASWVRX3TX33A3WOL2OAGU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QWZVSASWVRX3TX33A3WOL2OAGU/action/storage_attestation","attest_author":"https://pith.science/pith/QWZVSASWVRX3TX33A3WOL2OAGU/action/author_attestation","sign_citation":"https://pith.science/pith/QWZVSASWVRX3TX33A3WOL2OAGU/action/citation_signature","submit_replication":"https://pith.science/pith/QWZVSASWVRX3TX33A3WOL2OAGU/action/replication_record"}},"created_at":"2026-07-04T15:26:06.874206+00:00","updated_at":"2026-07-04T15:26:06.874206+00:00"}