{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:JPIXPF5JWXB76VUNC6AAGUYRFO","short_pith_number":"pith:JPIXPF5J","canonical_record":{"source":{"id":"1010.2207","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-10-11T20:00:05Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"21831d257d9ba2f9d54c58da55557f86f3060f00d15767ce92efd75f76f80bec","abstract_canon_sha256":"df4c29610a511b3afe047f75488561b173d7414d6c9a8e3be242a0f21a974625"},"schema_version":"1.0"},"canonical_sha256":"4bd17797a9b5c3ff568d17800353112ba5dc1aede8a6fe1fb7f6266c85185318","source":{"kind":"arxiv","id":"1010.2207","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2207","created_at":"2026-05-18T04:30:25Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2207v2","created_at":"2026-05-18T04:30:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2207","created_at":"2026-05-18T04:30:25Z"},{"alias_kind":"pith_short_12","alias_value":"JPIXPF5JWXB7","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JPIXPF5JWXB76VUN","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JPIXPF5J","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:JPIXPF5JWXB76VUNC6AAGUYRFO","target":"record","payload":{"canonical_record":{"source":{"id":"1010.2207","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-10-11T20:00:05Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"21831d257d9ba2f9d54c58da55557f86f3060f00d15767ce92efd75f76f80bec","abstract_canon_sha256":"df4c29610a511b3afe047f75488561b173d7414d6c9a8e3be242a0f21a974625"},"schema_version":"1.0"},"canonical_sha256":"4bd17797a9b5c3ff568d17800353112ba5dc1aede8a6fe1fb7f6266c85185318","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:25.599780Z","signature_b64":"KmnZc73AvjXJshqUYJid5WJWUG6LgQEqZkGygHch73ZFekYaDH37QkSUIBjfexnzR7OoJBWUsevPeOPXa74dCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4bd17797a9b5c3ff568d17800353112ba5dc1aede8a6fe1fb7f6266c85185318","last_reissued_at":"2026-05-18T04:30:25.599343Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:25.599343Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.2207","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:30:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6Gmmiu4uLJg+f6NwvADtnnLYi6eLa/5cd+hdHLJRSoxGyzSioi6EfSa8VUXfBLJY7KWK3IcsPRoHN0g761YBDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T15:42:12.251728Z"},"content_sha256":"eafeba99c6100ecf8fb8d24ece1ab950a4468444ef655ace3d3e0980163f6654","schema_version":"1.0","event_id":"sha256:eafeba99c6100ecf8fb8d24ece1ab950a4468444ef655ace3d3e0980163f6654"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:JPIXPF5JWXB76VUNC6AAGUYRFO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The thermodynamic structure of Einstein tensor","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Dawood Kothawala","submitted_at":"2010-10-11T20:00:05Z","abstract_excerpt":"We analyze the generic structure of Einstein tensor projected onto a 2-D spacelike surface S defined by unit timelike and spacelike vectors u_i and n_i respectively, which describe an accelerated observer (see text). Assuming that flow along u_i defines an approximate Killing vector X_i, we then show that near the corresponding Rindler horizon, the flux j_a=G_ab X^b along the ingoing null geodesics k_i normalised to have unit Killing energy, given by j . k, has a natural thermodynamic interpretation. Moreover, change in cross-sectional area of the k_i congruence yields the required change in a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2207","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:30:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"acCq0S+nBlmhqvU4CUkh4TO+MMVzuVNLufGKODP18pCYzPk+B/3J2ypMGn9vFb4b/rgsKScqlTGSkfzYGxk8BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T15:42:12.252298Z"},"content_sha256":"3fb43c71d1db37839f098925279e5506e4bd256b3e007cbe99205c53ec9c79f8","schema_version":"1.0","event_id":"sha256:3fb43c71d1db37839f098925279e5506e4bd256b3e007cbe99205c53ec9c79f8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JPIXPF5JWXB76VUNC6AAGUYRFO/bundle.json","state_url":"https://pith.science/pith/JPIXPF5JWXB76VUNC6AAGUYRFO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JPIXPF5JWXB76VUNC6AAGUYRFO/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-21T15:42:12Z","links":{"resolver":"https://pith.science/pith/JPIXPF5JWXB76VUNC6AAGUYRFO","bundle":"https://pith.science/pith/JPIXPF5JWXB76VUNC6AAGUYRFO/bundle.json","state":"https://pith.science/pith/JPIXPF5JWXB76VUNC6AAGUYRFO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JPIXPF5JWXB76VUNC6AAGUYRFO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:JPIXPF5JWXB76VUNC6AAGUYRFO","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":"df4c29610a511b3afe047f75488561b173d7414d6c9a8e3be242a0f21a974625","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-10-11T20:00:05Z","title_canon_sha256":"21831d257d9ba2f9d54c58da55557f86f3060f00d15767ce92efd75f76f80bec"},"schema_version":"1.0","source":{"id":"1010.2207","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2207","created_at":"2026-05-18T04:30:25Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2207v2","created_at":"2026-05-18T04:30:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2207","created_at":"2026-05-18T04:30:25Z"},{"alias_kind":"pith_short_12","alias_value":"JPIXPF5JWXB7","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JPIXPF5JWXB76VUN","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JPIXPF5J","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:3fb43c71d1db37839f098925279e5506e4bd256b3e007cbe99205c53ec9c79f8","target":"graph","created_at":"2026-05-18T04:30:25Z","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":"We analyze the generic structure of Einstein tensor projected onto a 2-D spacelike surface S defined by unit timelike and spacelike vectors u_i and n_i respectively, which describe an accelerated observer (see text). Assuming that flow along u_i defines an approximate Killing vector X_i, we then show that near the corresponding Rindler horizon, the flux j_a=G_ab X^b along the ingoing null geodesics k_i normalised to have unit Killing energy, given by j . k, has a natural thermodynamic interpretation. Moreover, change in cross-sectional area of the k_i congruence yields the required change in a","authors_text":"Dawood Kothawala","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-10-11T20:00:05Z","title":"The thermodynamic structure of Einstein tensor"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2207","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:eafeba99c6100ecf8fb8d24ece1ab950a4468444ef655ace3d3e0980163f6654","target":"record","created_at":"2026-05-18T04:30:25Z","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":"df4c29610a511b3afe047f75488561b173d7414d6c9a8e3be242a0f21a974625","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-10-11T20:00:05Z","title_canon_sha256":"21831d257d9ba2f9d54c58da55557f86f3060f00d15767ce92efd75f76f80bec"},"schema_version":"1.0","source":{"id":"1010.2207","kind":"arxiv","version":2}},"canonical_sha256":"4bd17797a9b5c3ff568d17800353112ba5dc1aede8a6fe1fb7f6266c85185318","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4bd17797a9b5c3ff568d17800353112ba5dc1aede8a6fe1fb7f6266c85185318","first_computed_at":"2026-05-18T04:30:25.599343Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:30:25.599343Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KmnZc73AvjXJshqUYJid5WJWUG6LgQEqZkGygHch73ZFekYaDH37QkSUIBjfexnzR7OoJBWUsevPeOPXa74dCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:30:25.599780Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.2207","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eafeba99c6100ecf8fb8d24ece1ab950a4468444ef655ace3d3e0980163f6654","sha256:3fb43c71d1db37839f098925279e5506e4bd256b3e007cbe99205c53ec9c79f8"],"state_sha256":"ace25c0bde5e56bc5ccc2ca45485ce284dd02db43ea327b096a60fcb73be0088"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s4XyaT3XrI2WO46LOX2qabPS9n0XUCMjbWTVfWlNnIbwT+yx2c4V9pkkC+bioJwgR+l55OX2g6juXyoe5GQNDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T15:42:12.256281Z","bundle_sha256":"72804574cd9e708e9dbf8461d752f64057680ee29e01c00ee0bd37c3f06461a0"}}