{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:QGNUQ5L6K6VNG4FEQK7PCIN6YI","short_pith_number":"pith:QGNUQ5L6","canonical_record":{"source":{"id":"1702.08723","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-02-28T10:06:59Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"11bf36d32e2a524041ab58e2b237f07b0d1ba2ddb7d29bd41866e8a530f5b1fd","abstract_canon_sha256":"999d55d477cf924285277fc845b8cc4b8db54735fb71007466fa3ab32fb9ceff"},"schema_version":"1.0"},"canonical_sha256":"819b48757e57aad370a482bef121bec21664bb42e1bf14b19fe3d737ad60537d","source":{"kind":"arxiv","id":"1702.08723","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.08723","created_at":"2026-05-18T00:32:11Z"},{"alias_kind":"arxiv_version","alias_value":"1702.08723v2","created_at":"2026-05-18T00:32:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.08723","created_at":"2026-05-18T00:32:11Z"},{"alias_kind":"pith_short_12","alias_value":"QGNUQ5L6K6VN","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"QGNUQ5L6K6VNG4FE","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"QGNUQ5L6","created_at":"2026-05-18T12:31:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:QGNUQ5L6K6VNG4FEQK7PCIN6YI","target":"record","payload":{"canonical_record":{"source":{"id":"1702.08723","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-02-28T10:06:59Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"11bf36d32e2a524041ab58e2b237f07b0d1ba2ddb7d29bd41866e8a530f5b1fd","abstract_canon_sha256":"999d55d477cf924285277fc845b8cc4b8db54735fb71007466fa3ab32fb9ceff"},"schema_version":"1.0"},"canonical_sha256":"819b48757e57aad370a482bef121bec21664bb42e1bf14b19fe3d737ad60537d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:11.513918Z","signature_b64":"XRsRHh33ePz66nXHGWd9eTGQT9ExFGnqO0DmIcd3bbV2NfD4Db+FhzZlscNXTCzDgXwgmq1ezlNvKuz3KDSqBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"819b48757e57aad370a482bef121bec21664bb42e1bf14b19fe3d737ad60537d","last_reissued_at":"2026-05-18T00:32:11.513355Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:11.513355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.08723","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":"2026-05-18T00:32:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+zBW2ZgofG7AWrKAVXBMEi6T0UziMGwvgld0cyWREurhoOWAi5xXx4irVggF0K6SHkAh4/Y6hBDCt+IdCreICw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T16:41:12.504783Z"},"content_sha256":"7b35807d35bbb6aed4879e97ca15ec0b00f3fc442764d463074a47505747664e","schema_version":"1.0","event_id":"sha256:7b35807d35bbb6aed4879e97ca15ec0b00f3fc442764d463074a47505747664e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:QGNUQ5L6K6VNG4FEQK7PCIN6YI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entropy of a box of gas in an external gravitational field $-$ revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Sourav Bhattacharya, Sumanta Chakraborty, T. Padmanabhan","submitted_at":"2017-02-28T10:06:59Z","abstract_excerpt":"Earlier it was shown that the entropy of an ideal gas, contained in a box and moving in a gravitational field, develops an area dependence when it approaches the horizon of a static, spherically symmetric spacetime. Here we extend the above result in two directions; viz., to (a) the stationary axisymmteric spacetimes and (b) time dependent cosmological spacetimes evolving asymptotically to the de Sitter or the Schwarzschild de Sitter spacetimes. While our calculations are exact for the stationary axisymmetric spacetimes, for the cosmological case we present an analytical expression of the entr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.08723","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":"2026-05-18T00:32:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O/9ad5+6L94SZjzTu+uiCEl5dGlnaxIjs1XY00zbgcc4178GODliRKlNWIzgs+bPt4F8vecgjbQGMtdXH4+xCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T16:41:12.505400Z"},"content_sha256":"4824106450a535bd0023a234ad23c4e3e9e9b9472e20fdc635501e3a10d51f19","schema_version":"1.0","event_id":"sha256:4824106450a535bd0023a234ad23c4e3e9e9b9472e20fdc635501e3a10d51f19"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QGNUQ5L6K6VNG4FEQK7PCIN6YI/bundle.json","state_url":"https://pith.science/pith/QGNUQ5L6K6VNG4FEQK7PCIN6YI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QGNUQ5L6K6VNG4FEQK7PCIN6YI/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":"2026-08-09T16:41:12Z","links":{"resolver":"https://pith.science/pith/QGNUQ5L6K6VNG4FEQK7PCIN6YI","bundle":"https://pith.science/pith/QGNUQ5L6K6VNG4FEQK7PCIN6YI/bundle.json","state":"https://pith.science/pith/QGNUQ5L6K6VNG4FEQK7PCIN6YI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QGNUQ5L6K6VNG4FEQK7PCIN6YI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QGNUQ5L6K6VNG4FEQK7PCIN6YI","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":"999d55d477cf924285277fc845b8cc4b8db54735fb71007466fa3ab32fb9ceff","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-02-28T10:06:59Z","title_canon_sha256":"11bf36d32e2a524041ab58e2b237f07b0d1ba2ddb7d29bd41866e8a530f5b1fd"},"schema_version":"1.0","source":{"id":"1702.08723","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.08723","created_at":"2026-05-18T00:32:11Z"},{"alias_kind":"arxiv_version","alias_value":"1702.08723v2","created_at":"2026-05-18T00:32:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.08723","created_at":"2026-05-18T00:32:11Z"},{"alias_kind":"pith_short_12","alias_value":"QGNUQ5L6K6VN","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"QGNUQ5L6K6VNG4FE","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"QGNUQ5L6","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:4824106450a535bd0023a234ad23c4e3e9e9b9472e20fdc635501e3a10d51f19","target":"graph","created_at":"2026-05-18T00:32:11Z","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":"Earlier it was shown that the entropy of an ideal gas, contained in a box and moving in a gravitational field, develops an area dependence when it approaches the horizon of a static, spherically symmetric spacetime. Here we extend the above result in two directions; viz., to (a) the stationary axisymmteric spacetimes and (b) time dependent cosmological spacetimes evolving asymptotically to the de Sitter or the Schwarzschild de Sitter spacetimes. While our calculations are exact for the stationary axisymmetric spacetimes, for the cosmological case we present an analytical expression of the entr","authors_text":"Sourav Bhattacharya, Sumanta Chakraborty, T. Padmanabhan","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-02-28T10:06:59Z","title":"Entropy of a box of gas in an external gravitational field $-$ revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.08723","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":"sha256:7b35807d35bbb6aed4879e97ca15ec0b00f3fc442764d463074a47505747664e","target":"record","created_at":"2026-05-18T00:32:11Z","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":"999d55d477cf924285277fc845b8cc4b8db54735fb71007466fa3ab32fb9ceff","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-02-28T10:06:59Z","title_canon_sha256":"11bf36d32e2a524041ab58e2b237f07b0d1ba2ddb7d29bd41866e8a530f5b1fd"},"schema_version":"1.0","source":{"id":"1702.08723","kind":"arxiv","version":2}},"canonical_sha256":"819b48757e57aad370a482bef121bec21664bb42e1bf14b19fe3d737ad60537d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"819b48757e57aad370a482bef121bec21664bb42e1bf14b19fe3d737ad60537d","first_computed_at":"2026-05-18T00:32:11.513355Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:11.513355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XRsRHh33ePz66nXHGWd9eTGQT9ExFGnqO0DmIcd3bbV2NfD4Db+FhzZlscNXTCzDgXwgmq1ezlNvKuz3KDSqBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:11.513918Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.08723","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b35807d35bbb6aed4879e97ca15ec0b00f3fc442764d463074a47505747664e","sha256:4824106450a535bd0023a234ad23c4e3e9e9b9472e20fdc635501e3a10d51f19"],"state_sha256":"9aedc32c58946c6f155f4182b46bbe0f96cade01c6d4134ad699ce582c190a6f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WkMQKhmbwozXw5r0bnAEDnc9cYHbYU8rMPBH1UAskjHHeptT+LnFyfmidlAC4b9jCpsDr7lAv4PD7p6oYbvFCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T16:41:12.511873Z","bundle_sha256":"457c58d23016bad05af9ebb0b1887128ea5f6c0f63919b581c646957453d29b2"}}