{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:SZYPSWCBLQNAD7MZXDFJD3BOQC","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":"68dfc96b11d5b7014e4ab9cf3581684291f97bf8ce04f7ab58c88da457e9f06d","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-03-17T10:46:55Z","title_canon_sha256":"179e183cf1bfab466f0dfecadc9bc95cff45357448642fd3195b44f9b1e29dc2"},"schema_version":"1.0","source":{"id":"1403.4058","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.4058","created_at":"2026-05-18T02:51:58Z"},{"alias_kind":"arxiv_version","alias_value":"1403.4058v3","created_at":"2026-05-18T02:51:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.4058","created_at":"2026-05-18T02:51:58Z"},{"alias_kind":"pith_short_12","alias_value":"SZYPSWCBLQNA","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SZYPSWCBLQNAD7MZ","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SZYPSWCB","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:6bb671ccfa79544f08c914ada39107048d3b52e70b81dae4479a493688154b0b","target":"graph","created_at":"2026-05-18T02:51:58Z","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":"The thermodynamical entities on the dynamical horizon are not naturally defined like the usual static cases. Here I find the temperature, Smarr formula and the first law of thermodynamics for the Sultana-Dyer metric which is related to the Schwarzschild spacetime by a time dependent conformal factor. To find the temperature ($T$), the chiral anomaly expressions for the two dimensional spacetime are used. This shows an application of the anomaly method to study Hawking effect for a dynamical situation. Moreover, the analysis singles out one expression for temperature among two existing expressi","authors_text":"Bibhas Ranjan Majhi","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-03-17T10:46:55Z","title":"Thermodynamics of Sultana-Dyer Black Hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.4058","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:e8714ff4528d6e2ce39cebe7865379601c6ec17ea2a85818883f9707843ac109","target":"record","created_at":"2026-05-18T02:51:58Z","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":"68dfc96b11d5b7014e4ab9cf3581684291f97bf8ce04f7ab58c88da457e9f06d","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-03-17T10:46:55Z","title_canon_sha256":"179e183cf1bfab466f0dfecadc9bc95cff45357448642fd3195b44f9b1e29dc2"},"schema_version":"1.0","source":{"id":"1403.4058","kind":"arxiv","version":3}},"canonical_sha256":"9670f958415c1a01fd99b8ca91ec2e8080ad43dde6e6641826a17450ed5fefd0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9670f958415c1a01fd99b8ca91ec2e8080ad43dde6e6641826a17450ed5fefd0","first_computed_at":"2026-05-18T02:51:58.434091Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:58.434091Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LSXjPUI8yUGAmQf+z3+NMHHqs+V1BHispZm8fc9Jx78isN9kxck86dO1ER4KRgiKrX2oB3VBZvKSRnGvzTGHBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:58.434468Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.4058","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8714ff4528d6e2ce39cebe7865379601c6ec17ea2a85818883f9707843ac109","sha256:6bb671ccfa79544f08c914ada39107048d3b52e70b81dae4479a493688154b0b"],"state_sha256":"2673e2f91c918599ba5fcdadc8637af41a1727cdfb957f8cb41586078789a016"}