{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:6RBKKJ5KK7JDDKHZ254PISKGDN","short_pith_number":"pith:6RBKKJ5K","schema_version":"1.0","canonical_sha256":"f442a527aa57d231a8f9d778f449461b4e4f2fe9a2a8a3f8f7f1e6bca426f3e4","source":{"kind":"arxiv","id":"1402.5446","version":3},"attestation_state":"computed","paper":{"title":"Information loss problem and a `black hole' model with a closed apparent horizon","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Valeri P. Frolov","submitted_at":"2014-02-21T23:20:52Z","abstract_excerpt":"In a classical description the spacetime curvature inside a black hole infinitely grows. In the domain where it reaches the Planckian value and exceeds it the Einstein equations should be modified. In the absence of reliable theory of quantum gravity it is instructive to consider simplified models. We assume that a spacetime curvature is limited by some value (of the order of the Planckian one). We use modified Vaidya metric, proposed by Hayward, to describe the black hole evaporation process. In such a spacetime the curvature near $r=0$ remains finite, it does not have an event horizon and it"},"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":"1402.5446","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-02-21T23:20:52Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"02a3f349e3df713bd1bbe658826a307bd2b088477ad1d727a8c49a4d61211d1f","abstract_canon_sha256":"bc24149e676f730506953ee44af4b1e621c3ec20f818333b8fba6dbb40c2708d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:44:29.435669Z","signature_b64":"5Z+zDGIusyligxND8Otvm3IocCsTcNK1skO/qVvjwQn3IJmygVpLxkWC6uvgXMoygowmxZ+SYg4YRohUYqHEDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f442a527aa57d231a8f9d778f449461b4e4f2fe9a2a8a3f8f7f1e6bca426f3e4","last_reissued_at":"2026-05-18T01:44:29.435116Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:44:29.435116Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Information loss problem and a `black hole' model with a closed apparent horizon","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Valeri P. Frolov","submitted_at":"2014-02-21T23:20:52Z","abstract_excerpt":"In a classical description the spacetime curvature inside a black hole infinitely grows. In the domain where it reaches the Planckian value and exceeds it the Einstein equations should be modified. In the absence of reliable theory of quantum gravity it is instructive to consider simplified models. We assume that a spacetime curvature is limited by some value (of the order of the Planckian one). We use modified Vaidya metric, proposed by Hayward, to describe the black hole evaporation process. In such a spacetime the curvature near $r=0$ remains finite, it does not have an event horizon and it"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5446","kind":"arxiv","version":3},"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":"1402.5446","created_at":"2026-05-18T01:44:29.435211+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.5446v3","created_at":"2026-05-18T01:44:29.435211+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5446","created_at":"2026-05-18T01:44:29.435211+00:00"},{"alias_kind":"pith_short_12","alias_value":"6RBKKJ5KK7JD","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"6RBKKJ5KK7JDDKHZ","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"6RBKKJ5K","created_at":"2026-05-18T12:28:16.859392+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.14875","citing_title":"Regular Vaidya solutions of effective gravitational theories","ref_index":42,"is_internal_anchor":true},{"citing_arxiv_id":"2605.05232","citing_title":"Inflation driven by repulsive-like primordial black holes","ref_index":67,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6RBKKJ5KK7JDDKHZ254PISKGDN","json":"https://pith.science/pith/6RBKKJ5KK7JDDKHZ254PISKGDN.json","graph_json":"https://pith.science/api/pith-number/6RBKKJ5KK7JDDKHZ254PISKGDN/graph.json","events_json":"https://pith.science/api/pith-number/6RBKKJ5KK7JDDKHZ254PISKGDN/events.json","paper":"https://pith.science/paper/6RBKKJ5K"},"agent_actions":{"view_html":"https://pith.science/pith/6RBKKJ5KK7JDDKHZ254PISKGDN","download_json":"https://pith.science/pith/6RBKKJ5KK7JDDKHZ254PISKGDN.json","view_paper":"https://pith.science/paper/6RBKKJ5K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.5446&json=true","fetch_graph":"https://pith.science/api/pith-number/6RBKKJ5KK7JDDKHZ254PISKGDN/graph.json","fetch_events":"https://pith.science/api/pith-number/6RBKKJ5KK7JDDKHZ254PISKGDN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6RBKKJ5KK7JDDKHZ254PISKGDN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6RBKKJ5KK7JDDKHZ254PISKGDN/action/storage_attestation","attest_author":"https://pith.science/pith/6RBKKJ5KK7JDDKHZ254PISKGDN/action/author_attestation","sign_citation":"https://pith.science/pith/6RBKKJ5KK7JDDKHZ254PISKGDN/action/citation_signature","submit_replication":"https://pith.science/pith/6RBKKJ5KK7JDDKHZ254PISKGDN/action/replication_record"}},"created_at":"2026-05-18T01:44:29.435211+00:00","updated_at":"2026-05-18T01:44:29.435211+00:00"}