{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:HBROQJR224MKYGYBOMRTNXFCAL","short_pith_number":"pith:HBROQJR2","schema_version":"1.0","canonical_sha256":"3862e8263ad718ac1b01732336dca202e3e2aa1d402136db2baa3640f91ed624","source":{"kind":"arxiv","id":"1006.4605","version":1},"attestation_state":"computed","paper":{"title":"Spherically-symmetric solutions with a chain of n internal Ricci-flat spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE"],"primary_cat":"gr-qc","authors_text":"V.D. Ivashchuk","submitted_at":"2010-06-23T18:14:38Z","abstract_excerpt":"The Schwarzschild solution is generalized for the case of n internal Ricci-flat spaces. It is shown that in the four-dimensional section of the metric a horizon exists only when the internal space scale factors are constant. The scalar-vacuum generalization of the solution is also presented. [This paper is the English translation of the part of Chapter. 2.4 of the author's PhD dissertation (Moscow, 1989).]"},"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":"1006.4605","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-06-23T18:14:38Z","cross_cats_sorted":["astro-ph.HE"],"title_canon_sha256":"a290d1aa32793197b6bc2116ee2137ad09287fc8a748c2639696fcaaaa4ddaca","abstract_canon_sha256":"8dfe80e37c2edec54ebce12463a414116b40a69a50a77825210a4fda77b41b9c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:06.261434Z","signature_b64":"yKaTWeY5zKMifJbDHKvdx8F2f8/fslRmqO+rq2HqmqURePnim92lcC2tkltmjKx7LYD+IEj8+jfj3vt79z6ADA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3862e8263ad718ac1b01732336dca202e3e2aa1d402136db2baa3640f91ed624","last_reissued_at":"2026-05-18T04:24:06.260740Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:06.260740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spherically-symmetric solutions with a chain of n internal Ricci-flat spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE"],"primary_cat":"gr-qc","authors_text":"V.D. Ivashchuk","submitted_at":"2010-06-23T18:14:38Z","abstract_excerpt":"The Schwarzschild solution is generalized for the case of n internal Ricci-flat spaces. It is shown that in the four-dimensional section of the metric a horizon exists only when the internal space scale factors are constant. The scalar-vacuum generalization of the solution is also presented. [This paper is the English translation of the part of Chapter. 2.4 of the author's PhD dissertation (Moscow, 1989).]"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4605","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":"1006.4605","created_at":"2026-05-18T04:24:06.260830+00:00"},{"alias_kind":"arxiv_version","alias_value":"1006.4605v1","created_at":"2026-05-18T04:24:06.260830+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4605","created_at":"2026-05-18T04:24:06.260830+00:00"},{"alias_kind":"pith_short_12","alias_value":"HBROQJR224MK","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_16","alias_value":"HBROQJR224MKYGYB","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_8","alias_value":"HBROQJR2","created_at":"2026-05-18T12:26:07.630475+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/HBROQJR224MKYGYBOMRTNXFCAL","json":"https://pith.science/pith/HBROQJR224MKYGYBOMRTNXFCAL.json","graph_json":"https://pith.science/api/pith-number/HBROQJR224MKYGYBOMRTNXFCAL/graph.json","events_json":"https://pith.science/api/pith-number/HBROQJR224MKYGYBOMRTNXFCAL/events.json","paper":"https://pith.science/paper/HBROQJR2"},"agent_actions":{"view_html":"https://pith.science/pith/HBROQJR224MKYGYBOMRTNXFCAL","download_json":"https://pith.science/pith/HBROQJR224MKYGYBOMRTNXFCAL.json","view_paper":"https://pith.science/paper/HBROQJR2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1006.4605&json=true","fetch_graph":"https://pith.science/api/pith-number/HBROQJR224MKYGYBOMRTNXFCAL/graph.json","fetch_events":"https://pith.science/api/pith-number/HBROQJR224MKYGYBOMRTNXFCAL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HBROQJR224MKYGYBOMRTNXFCAL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HBROQJR224MKYGYBOMRTNXFCAL/action/storage_attestation","attest_author":"https://pith.science/pith/HBROQJR224MKYGYBOMRTNXFCAL/action/author_attestation","sign_citation":"https://pith.science/pith/HBROQJR224MKYGYBOMRTNXFCAL/action/citation_signature","submit_replication":"https://pith.science/pith/HBROQJR224MKYGYBOMRTNXFCAL/action/replication_record"}},"created_at":"2026-05-18T04:24:06.260830+00:00","updated_at":"2026-05-18T04:24:06.260830+00:00"}