{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:W37ZG7ETSHZYBCGNWI3UZZDJJ6","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":"a28dcc90baf8a50124104288a3885d54c5b44a170f434241f29c8a11d5e095cc","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2003-08-21T14:05:59Z","title_canon_sha256":"a6ac265b33fab7eaaa4ae236f804121db25241790adc50e9383870ea197f3a0a"},"schema_version":"1.0","source":{"id":"gr-qc/0308070","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0308070","created_at":"2026-05-18T04:23:00Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0308070v2","created_at":"2026-05-18T04:23:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0308070","created_at":"2026-05-18T04:23:00Z"},{"alias_kind":"pith_short_12","alias_value":"W37ZG7ETSHZY","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"W37ZG7ETSHZYBCGN","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"W37ZG7ET","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:c5534a76973eb99e8bba8812470a885758c2a591d42abcb8630f81ab479d57c5","target":"graph","created_at":"2026-05-18T04:23:00Z","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":"A general ansatz for gravitational entropy can be provided using the criterion that, any patch of area which acts as a horizon for a suitably defined accelerated observer, must have an entropy proportional to its area. After providing a brief justification for this ansatz, several consequences are derived: (i) In any static spacetime with a horizon and associated temperature $\\beta^{-1}$, this entropy satisfies the relation $S=(1/2)\\beta E$ where $E$ is the energy source for gravitational acceleration, obtained as an integral of $(T_{ab}-(1/2)Tg_{ab})u^au^b$. (ii) With this ansatz of $S$, the ","authors_text":"T. Padmanabhan","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2003-08-21T14:05:59Z","title":"Entropy of Static Spacetimes and Microscopic Density of States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0308070","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":"sha256:9913d1e9d3640df3cdc93758540c89fe6405d4529a1ae811cca45d0889f4ea84","target":"record","created_at":"2026-05-18T04:23:00Z","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":"a28dcc90baf8a50124104288a3885d54c5b44a170f434241f29c8a11d5e095cc","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2003-08-21T14:05:59Z","title_canon_sha256":"a6ac265b33fab7eaaa4ae236f804121db25241790adc50e9383870ea197f3a0a"},"schema_version":"1.0","source":{"id":"gr-qc/0308070","kind":"arxiv","version":2}},"canonical_sha256":"b6ff937c9391f38088cdb2374ce4694fadfab1945d5520c53d4d43ced771c72a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6ff937c9391f38088cdb2374ce4694fadfab1945d5520c53d4d43ced771c72a","first_computed_at":"2026-05-18T04:23:00.223082Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:00.223082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c2Y3gBrzYSYNA2sXkND68ealcU970QLSYuDzvQ6af/Aj3T88BXSSX1gBHN1TotQg+uLj1FXRQz8dX6ycPZ1FDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:00.223739Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0308070","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9913d1e9d3640df3cdc93758540c89fe6405d4529a1ae811cca45d0889f4ea84","sha256:c5534a76973eb99e8bba8812470a885758c2a591d42abcb8630f81ab479d57c5"],"state_sha256":"dd18ea3f44324e2bc27ff8b8ff3855fac18d99aca94e685d0e216182c72a8c0c"}