{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OA3U2COCQQJRGFW2UZYF4YPA4I","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":"8bf9a595c1a79c73c313294d0c58440660377ecb3beba234ea5cdcdd99e1056d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-27T21:46:59Z","title_canon_sha256":"579a3956aa5828fe7460fd3fdebe17a5c8a958da9d79461fe35678c503d605d5"},"schema_version":"1.0","source":{"id":"1512.08280","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.08280","created_at":"2026-05-18T01:23:42Z"},{"alias_kind":"arxiv_version","alias_value":"1512.08280v1","created_at":"2026-05-18T01:23:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.08280","created_at":"2026-05-18T01:23:42Z"},{"alias_kind":"pith_short_12","alias_value":"OA3U2COCQQJR","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OA3U2COCQQJRGFW2","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OA3U2COC","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:dc7699a54e5db867b72a9c924e3cdad0391098b3d4dbda21a56c1d15891d9d25","target":"graph","created_at":"2026-05-18T01:23:42Z","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"},"paper":{"abstract_excerpt":"We consider the problem of the existence of global embeddings of metrics of spherically symmetric black holes into an ambient space with the minimal possible dimension. We classify the possible types of embeddings by the type of realization of the metric symmetry by ambient space symmetries. For the Schwarzschild, Schwarzschild-de Sitter, and Reissner-Nordstrom black holes, we prove that the known global embeddings are the only ones. We obtain a new global embedding for the Reissner-Nordstrom-de Sitter metrics and prove that constructing such embeddings is impossible for the Schwarzschild-anti","authors_text":"A.A. Sheykin, S.A. Paston","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-27T21:46:59Z","title":"Classification of global minimal embeddings for nonrotating black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08280","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":"sha256:81520c12987d650e2534f2311afc2921af848d636f01d2a6c86f817a1e5bde25","target":"record","created_at":"2026-05-18T01:23:42Z","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":"8bf9a595c1a79c73c313294d0c58440660377ecb3beba234ea5cdcdd99e1056d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-27T21:46:59Z","title_canon_sha256":"579a3956aa5828fe7460fd3fdebe17a5c8a958da9d79461fe35678c503d605d5"},"schema_version":"1.0","source":{"id":"1512.08280","kind":"arxiv","version":1}},"canonical_sha256":"70374d09c284131316daa6705e61e0e23f779da549f9fe8c7faa1b1e6110c0a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"70374d09c284131316daa6705e61e0e23f779da549f9fe8c7faa1b1e6110c0a4","first_computed_at":"2026-05-18T01:23:42.709469Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:42.709469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o5CKHk7c8gFEPg7OAzBtPru/M2fB5XFd/ZkjaZwpmZ2WE2gqnrFzs4lQKDbgu3HEQnnJW4fANcvu5WLHANjvCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:42.710044Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.08280","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:81520c12987d650e2534f2311afc2921af848d636f01d2a6c86f817a1e5bde25","sha256:dc7699a54e5db867b72a9c924e3cdad0391098b3d4dbda21a56c1d15891d9d25"],"state_sha256":"2f4715def7c7c51bb797ca35bb99b467a4fcac499987c74ed6120d687298a3c4"}