{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:MPW6L2GO2XCSSH5UZYZ7MAE4EM","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":"f22ce8b77b14b67f4b11c82f17315f1f285f74c1febd5f963b0ff08543ba22b4","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-05-17T12:57:36Z","title_canon_sha256":"54a88968d3b0d0629c1d3dd76324e2846e9d3f096e271263cc9d373b260b8b7c"},"schema_version":"1.0","source":{"id":"2105.07787","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.07787","created_at":"2026-07-05T03:42:01Z"},{"alias_kind":"arxiv_version","alias_value":"2105.07787v3","created_at":"2026-07-05T03:42:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.07787","created_at":"2026-07-05T03:42:01Z"},{"alias_kind":"pith_short_12","alias_value":"MPW6L2GO2XCS","created_at":"2026-07-05T03:42:01Z"},{"alias_kind":"pith_short_16","alias_value":"MPW6L2GO2XCSSH5U","created_at":"2026-07-05T03:42:01Z"},{"alias_kind":"pith_short_8","alias_value":"MPW6L2GO","created_at":"2026-07-05T03:42:01Z"}],"graph_snapshots":[{"event_id":"sha256:1a83bf8859692e989661462882a4a479c27b697ddfa19d50d66a8ee9e0fa119c","target":"graph","created_at":"2026-07-05T03:42:01Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2105.07787/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that the equation of motion of scalar-tensor theory acquires thermodynamic identity when projected on a generic null surface. The relevant projection is given by $E_{ab}l^ak^b$, where $E_{ab} =8\\pi T_{ab}^{(m)}$ represents the equation motion for gravitational field in presence of external matter, $l^a$ is the generator of the null surface and $k^a$ is the corresponding auxiliary null vector. Our analysis is done completely in a covariant way. Therefore all the thermodynamic quantities are in covariant form and hence can be used for any specific form of metric adapted to a null surface","authors_text":"Bibhas Ranjan Majhi, Krishnakanta Bhattacharya, Sumit Dey","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-05-17T12:57:36Z","title":"Thermodynamic structure of a generic null surface and the zeroth law in scalar-tensor theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.07787","kind":"arxiv","version":3},"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:c3a8c8ae60677ba590f6316ad4650d221c8630946b8d25aa89b1bff2f0be07c5","target":"record","created_at":"2026-07-05T03:42:01Z","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":"f22ce8b77b14b67f4b11c82f17315f1f285f74c1febd5f963b0ff08543ba22b4","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-05-17T12:57:36Z","title_canon_sha256":"54a88968d3b0d0629c1d3dd76324e2846e9d3f096e271263cc9d373b260b8b7c"},"schema_version":"1.0","source":{"id":"2105.07787","kind":"arxiv","version":3}},"canonical_sha256":"63ede5e8ced5c5291fb4ce33f6009c23391ac7a77b62679ac6c94d4afc30edd4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"63ede5e8ced5c5291fb4ce33f6009c23391ac7a77b62679ac6c94d4afc30edd4","first_computed_at":"2026-07-05T03:42:01.008461Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:42:01.008461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A3KalZhm+7kRfHlwUUeCaW1ECMwP1wHtUxHDCTCcqYKvwT5f81mzJ0b+ZwXokoXSn/PPgwqsI1vuB1F7IUr3Ag==","signature_status":"signed_v1","signed_at":"2026-07-05T03:42:01.008912Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.07787","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3a8c8ae60677ba590f6316ad4650d221c8630946b8d25aa89b1bff2f0be07c5","sha256:1a83bf8859692e989661462882a4a479c27b697ddfa19d50d66a8ee9e0fa119c"],"state_sha256":"6606b685e779e482faa6f7adafd86c760f78f90a5d4699ed0bbf3e566d1e34e8"}