{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:2K3E64KPAWR7HHBFOVYNZEYINO","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":"06f1240b6442f400b7d9087e929a49a2b45ab40c609c4acbadfbc885dfe26792","cross_cats_sorted":["hep-ph","hep-th","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-09-03T06:08:23Z","title_canon_sha256":"2e5782796fdb8b05565276efc7869c28375561566241f41b4ce3b1c523017992"},"schema_version":"1.0","source":{"id":"2509.03042","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.03042","created_at":"2026-07-05T12:04:02Z"},{"alias_kind":"arxiv_version","alias_value":"2509.03042v1","created_at":"2026-07-05T12:04:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.03042","created_at":"2026-07-05T12:04:02Z"},{"alias_kind":"pith_short_12","alias_value":"2K3E64KPAWR7","created_at":"2026-07-05T12:04:02Z"},{"alias_kind":"pith_short_16","alias_value":"2K3E64KPAWR7HHBF","created_at":"2026-07-05T12:04:02Z"},{"alias_kind":"pith_short_8","alias_value":"2K3E64KP","created_at":"2026-07-05T12:04:02Z"}],"graph_snapshots":[{"event_id":"sha256:8e15763e6c3a0c4079fc05bb5b7dcc931a53ee80f673f45c41ec12a15f1e9fa3","target":"graph","created_at":"2026-07-05T12:04:02Z","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/2509.03042/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The basic and conceptual notion of this work starts from the recent investigations of Marios Christodoulou and Carlo Rovelli (CR) in their paper entitled ''How big is a black hole?''. This work is related to the black hole interior volume and the entropy by Baocheng Zhang. In CR work, a spherically symmetric Schwarzschild black hole is considered and defines the interior volume, as the volume inside a sphere $S$ is the maximal proper volume of a space-like spherically symmetric $3d$ hypersurface bounded by the sphere $S$. Using this definition, they found the interior volume of a black hole is","authors_text":"Shad Ali","cross_cats":["hep-ph","hep-th","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-09-03T06:08:23Z","title":"Aspects of the Black Hole Interior Volume and Entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.03042","kind":"arxiv","version":1},"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:e52594f578a73acdef7479ba71877b0d7af7cd88386c59d598dc9421241be7c5","target":"record","created_at":"2026-07-05T12:04:02Z","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":"06f1240b6442f400b7d9087e929a49a2b45ab40c609c4acbadfbc885dfe26792","cross_cats_sorted":["hep-ph","hep-th","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-09-03T06:08:23Z","title_canon_sha256":"2e5782796fdb8b05565276efc7869c28375561566241f41b4ce3b1c523017992"},"schema_version":"1.0","source":{"id":"2509.03042","kind":"arxiv","version":1}},"canonical_sha256":"d2b64f714f05a3f39c257570dc93086bb64be721d7b698efd3aed1d7a3cddc94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2b64f714f05a3f39c257570dc93086bb64be721d7b698efd3aed1d7a3cddc94","first_computed_at":"2026-07-05T12:04:02.692004Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:04:02.692004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z+sWns2/lWfEoZl9Jk0NlGNL8XxjD1rsxJeyiRcYTrVOLj4VKBjEyBa6MbnIJCKt02oxCsaGp9z+dodfhEhyAA==","signature_status":"signed_v1","signed_at":"2026-07-05T12:04:02.692585Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.03042","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e52594f578a73acdef7479ba71877b0d7af7cd88386c59d598dc9421241be7c5","sha256:8e15763e6c3a0c4079fc05bb5b7dcc931a53ee80f673f45c41ec12a15f1e9fa3"],"state_sha256":"88ffe49b7888edd7304bb8b3da76085543dd2e75106f5628bdb9182e474d790b"}