{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:Y4WNRWJX67EL5W5UHKCJWICBBZ","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":"4b0244214f69c7ba25398b24c9843e57862325932f4124fdc0b4c9ac74e68afe","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-09-13T14:42:50Z","title_canon_sha256":"b5a723f52b1991e0a01c8a08d2a30c596024851c5791a5d1c44575279fe94adf"},"schema_version":"1.0","source":{"id":"1109.2804","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.2804","created_at":"2026-05-18T02:00:33Z"},{"alias_kind":"arxiv_version","alias_value":"1109.2804v3","created_at":"2026-05-18T02:00:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.2804","created_at":"2026-05-18T02:00:33Z"},{"alias_kind":"pith_short_12","alias_value":"Y4WNRWJX67EL","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"Y4WNRWJX67EL5W5U","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"Y4WNRWJX","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:5e7209f1c3525add76542889657ced6eaeea3a2df0423bc1440466e69160c711","target":"graph","created_at":"2026-05-18T02:00:33Z","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 consider a self-gravitating system consisting of perfect fluid with spherical symmetry. Using the general expression of entropy density, we extremize the total entropy $S$ under the constraint that the total number of particles is fixed. We show that extrema of $S$ coincides precisely with the relativistic Tolman-Oppenheimer-Volkoff (TOV) equation of hydrostatic equilibrium. Furthermore, we apply the maximum entropy principle to a charged perfect fluid and derive the generalized TOV equation. Our work provides a strong evidence for the fundamental relationship between general relativity and","authors_text":"Sijie Gao","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-09-13T14:42:50Z","title":"A general maximum entropy principle for self-gravitating perfect fluid"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.2804","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:ca9c3ef43365f609c7ef963c8b2831c04c6967da5e6d4f6299ea870d1c7cf9e6","target":"record","created_at":"2026-05-18T02:00:33Z","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":"4b0244214f69c7ba25398b24c9843e57862325932f4124fdc0b4c9ac74e68afe","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-09-13T14:42:50Z","title_canon_sha256":"b5a723f52b1991e0a01c8a08d2a30c596024851c5791a5d1c44575279fe94adf"},"schema_version":"1.0","source":{"id":"1109.2804","kind":"arxiv","version":3}},"canonical_sha256":"c72cd8d937f7c8bedbb43a849b20410e5c3e9d967e9ebbb355f5b0c26c278f48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c72cd8d937f7c8bedbb43a849b20410e5c3e9d967e9ebbb355f5b0c26c278f48","first_computed_at":"2026-05-18T02:00:33.595264Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:33.595264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jJ+1sMx3NyQrqvItuIiz7mBOEBNYSxsCrKyAGv7FULUiQrQ5Eois/h+RdbS9VAeL0quAPCLmHgyoGgCLRAx8DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:33.596025Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.2804","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca9c3ef43365f609c7ef963c8b2831c04c6967da5e6d4f6299ea870d1c7cf9e6","sha256:5e7209f1c3525add76542889657ced6eaeea3a2df0423bc1440466e69160c711"],"state_sha256":"0c9eda71f823b63d622c059381a33d39bd515a011547ef53b9759c8b61bddf67"}