{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:V72QVCVHTHSI4SEL3Q2SRJRMIR","short_pith_number":"pith:V72QVCVH","schema_version":"1.0","canonical_sha256":"aff50a8aa799e48e488bdc3528a62c4454e956ed3b8fdad9a181b34b839b2c5d","source":{"kind":"arxiv","id":"1903.03429","version":1},"attestation_state":"computed","paper":{"title":"Volumetric Maxima to be Attained by a Nonstatic Black Hole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Prasanta Choudhury, Ritabrata Biswas, Sandip Dutta","submitted_at":"2019-02-27T14:23:59Z","abstract_excerpt":"Christodoulou and Rovelli have calculated maximal interior volume of a Schwarzschild black hole which linearly grows with time. Recently, the entropy of interior volume in a Schwarzschild black hole has also been calculated. In this article, the Eddington-Finkelstein metric is slightly modified. This modified metric satisfies Einstein's equations. The interior volume of a black hole is also calculated with the modified metric. The volume explicitly depends on a function of time, different from the Christodoulou and Rovelli volume. Also entropy is calculated corresponding to the volume which is"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1903.03429","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-02-27T14:23:59Z","cross_cats_sorted":[],"title_canon_sha256":"09b84a5fd2a140883908a55f75a5694a40e15fa4f911a9d8f72ec0c231afc191","abstract_canon_sha256":"87833932f73279b32b270c3c4eff9fbcd2bd5fc07c6454f60778f23318cc9119"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:45.520432Z","signature_b64":"btLHYoyk0sQ3jHX8RKjEID//gP4jRLlDl9VK0xjjGblBPS5JXSr2LvW+23f0oi5561PXT355o7Sb17hz1r3JAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aff50a8aa799e48e488bdc3528a62c4454e956ed3b8fdad9a181b34b839b2c5d","last_reissued_at":"2026-05-17T23:51:45.519829Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:45.519829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Volumetric Maxima to be Attained by a Nonstatic Black Hole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Prasanta Choudhury, Ritabrata Biswas, Sandip Dutta","submitted_at":"2019-02-27T14:23:59Z","abstract_excerpt":"Christodoulou and Rovelli have calculated maximal interior volume of a Schwarzschild black hole which linearly grows with time. Recently, the entropy of interior volume in a Schwarzschild black hole has also been calculated. In this article, the Eddington-Finkelstein metric is slightly modified. This modified metric satisfies Einstein's equations. The interior volume of a black hole is also calculated with the modified metric. The volume explicitly depends on a function of time, different from the Christodoulou and Rovelli volume. Also entropy is calculated corresponding to the volume which is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.03429","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1903.03429","created_at":"2026-05-17T23:51:45.519925+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.03429v1","created_at":"2026-05-17T23:51:45.519925+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.03429","created_at":"2026-05-17T23:51:45.519925+00:00"},{"alias_kind":"pith_short_12","alias_value":"V72QVCVHTHSI","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_16","alias_value":"V72QVCVHTHSI4SEL","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_8","alias_value":"V72QVCVH","created_at":"2026-05-18T12:33:30.264802+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/V72QVCVHTHSI4SEL3Q2SRJRMIR","json":"https://pith.science/pith/V72QVCVHTHSI4SEL3Q2SRJRMIR.json","graph_json":"https://pith.science/api/pith-number/V72QVCVHTHSI4SEL3Q2SRJRMIR/graph.json","events_json":"https://pith.science/api/pith-number/V72QVCVHTHSI4SEL3Q2SRJRMIR/events.json","paper":"https://pith.science/paper/V72QVCVH"},"agent_actions":{"view_html":"https://pith.science/pith/V72QVCVHTHSI4SEL3Q2SRJRMIR","download_json":"https://pith.science/pith/V72QVCVHTHSI4SEL3Q2SRJRMIR.json","view_paper":"https://pith.science/paper/V72QVCVH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.03429&json=true","fetch_graph":"https://pith.science/api/pith-number/V72QVCVHTHSI4SEL3Q2SRJRMIR/graph.json","fetch_events":"https://pith.science/api/pith-number/V72QVCVHTHSI4SEL3Q2SRJRMIR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V72QVCVHTHSI4SEL3Q2SRJRMIR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V72QVCVHTHSI4SEL3Q2SRJRMIR/action/storage_attestation","attest_author":"https://pith.science/pith/V72QVCVHTHSI4SEL3Q2SRJRMIR/action/author_attestation","sign_citation":"https://pith.science/pith/V72QVCVHTHSI4SEL3Q2SRJRMIR/action/citation_signature","submit_replication":"https://pith.science/pith/V72QVCVHTHSI4SEL3Q2SRJRMIR/action/replication_record"}},"created_at":"2026-05-17T23:51:45.519925+00:00","updated_at":"2026-05-17T23:51:45.519925+00:00"}