{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:NK43WEGHT5YJZCVYKIEKNH3C5Q","short_pith_number":"pith:NK43WEGH","schema_version":"1.0","canonical_sha256":"6ab9bb10c79f709c8ab85208a69f62ec2a12643217323a23cd5829e297f64934","source":{"kind":"arxiv","id":"1810.08613","version":1},"attestation_state":"computed","paper":{"title":"Exact solution for a black hole embedded in a nonstatic dust-filled universe","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Elena Kopteva, Irina Bormotova, Pavlina Jaluvkova, Zdenek Stuchlik","submitted_at":"2018-10-19T13:32:30Z","abstract_excerpt":"An exact solution of the Lema\\^{i}tre--Tolman--Bondi class is investigated as a possible model of the Schwarzschild-like black hole embedded in a non-static dust-filled universe for the three types of spatial curvature. The solution is obtained in comoving coordinates by means of the mass function method. It is shown that the central part of space contains a Schwarzschild-like black hole. The R-T-structure of the resulting spacetime is built. It is shown that the solution includes both the Schwarzschild and Friedmann solutions as its natural limits. The geodesic equations for test particles ar"},"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":"1810.08613","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-10-19T13:32:30Z","cross_cats_sorted":[],"title_canon_sha256":"4a8fc6b5faa4a67256f51e979bb914f2c4c48b4746579fb26b788a3528914d8a","abstract_canon_sha256":"e827b8a37a4a98bf9506eb46202982d3449263cdee788f4ab6a56cb9e9b37225"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:30.019278Z","signature_b64":"VBXM0yPABCPflH05hWjVy/Ibr0yIBdMbXuT6tGrGm9By3MLuHoPJ4pIXngTpQIPBhhTfNSENk2MOT/1Fkc4iDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ab9bb10c79f709c8ab85208a69f62ec2a12643217323a23cd5829e297f64934","last_reissued_at":"2026-05-18T00:02:30.018680Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:30.018680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact solution for a black hole embedded in a nonstatic dust-filled universe","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Elena Kopteva, Irina Bormotova, Pavlina Jaluvkova, Zdenek Stuchlik","submitted_at":"2018-10-19T13:32:30Z","abstract_excerpt":"An exact solution of the Lema\\^{i}tre--Tolman--Bondi class is investigated as a possible model of the Schwarzschild-like black hole embedded in a non-static dust-filled universe for the three types of spatial curvature. The solution is obtained in comoving coordinates by means of the mass function method. It is shown that the central part of space contains a Schwarzschild-like black hole. The R-T-structure of the resulting spacetime is built. It is shown that the solution includes both the Schwarzschild and Friedmann solutions as its natural limits. The geodesic equations for test particles ar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.08613","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":"1810.08613","created_at":"2026-05-18T00:02:30.018762+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.08613v1","created_at":"2026-05-18T00:02:30.018762+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.08613","created_at":"2026-05-18T00:02:30.018762+00:00"},{"alias_kind":"pith_short_12","alias_value":"NK43WEGHT5YJ","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_16","alias_value":"NK43WEGHT5YJZCVY","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_8","alias_value":"NK43WEGH","created_at":"2026-05-18T12:32:40.477152+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/NK43WEGHT5YJZCVYKIEKNH3C5Q","json":"https://pith.science/pith/NK43WEGHT5YJZCVYKIEKNH3C5Q.json","graph_json":"https://pith.science/api/pith-number/NK43WEGHT5YJZCVYKIEKNH3C5Q/graph.json","events_json":"https://pith.science/api/pith-number/NK43WEGHT5YJZCVYKIEKNH3C5Q/events.json","paper":"https://pith.science/paper/NK43WEGH"},"agent_actions":{"view_html":"https://pith.science/pith/NK43WEGHT5YJZCVYKIEKNH3C5Q","download_json":"https://pith.science/pith/NK43WEGHT5YJZCVYKIEKNH3C5Q.json","view_paper":"https://pith.science/paper/NK43WEGH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.08613&json=true","fetch_graph":"https://pith.science/api/pith-number/NK43WEGHT5YJZCVYKIEKNH3C5Q/graph.json","fetch_events":"https://pith.science/api/pith-number/NK43WEGHT5YJZCVYKIEKNH3C5Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NK43WEGHT5YJZCVYKIEKNH3C5Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NK43WEGHT5YJZCVYKIEKNH3C5Q/action/storage_attestation","attest_author":"https://pith.science/pith/NK43WEGHT5YJZCVYKIEKNH3C5Q/action/author_attestation","sign_citation":"https://pith.science/pith/NK43WEGHT5YJZCVYKIEKNH3C5Q/action/citation_signature","submit_replication":"https://pith.science/pith/NK43WEGHT5YJZCVYKIEKNH3C5Q/action/replication_record"}},"created_at":"2026-05-18T00:02:30.018762+00:00","updated_at":"2026-05-18T00:02:30.018762+00:00"}