{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:V2SWXZRPBBU4YNL4QMMNUOS2LR","short_pith_number":"pith:V2SWXZRP","canonical_record":{"source":{"id":"1905.10869","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-05-26T20:08:21Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"99b72699c7ef5d9975c599a40541573ba22273a3a86823a3d1550f37014fbb65","abstract_canon_sha256":"12d0941ae106f1329c157fb89e62be6f06ec674faf54cf7f04649361d6c9c4bc"},"schema_version":"1.0"},"canonical_sha256":"aea56be62f0869cc357c8318da3a5a5c5a7158217c493b670940b9cd1191e355","source":{"kind":"arxiv","id":"1905.10869","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.10869","created_at":"2026-05-17T23:41:52Z"},{"alias_kind":"arxiv_version","alias_value":"1905.10869v2","created_at":"2026-05-17T23:41:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.10869","created_at":"2026-05-17T23:41:52Z"},{"alias_kind":"pith_short_12","alias_value":"V2SWXZRPBBU4","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"V2SWXZRPBBU4YNL4","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"V2SWXZRP","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:V2SWXZRPBBU4YNL4QMMNUOS2LR","target":"record","payload":{"canonical_record":{"source":{"id":"1905.10869","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-05-26T20:08:21Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"99b72699c7ef5d9975c599a40541573ba22273a3a86823a3d1550f37014fbb65","abstract_canon_sha256":"12d0941ae106f1329c157fb89e62be6f06ec674faf54cf7f04649361d6c9c4bc"},"schema_version":"1.0"},"canonical_sha256":"aea56be62f0869cc357c8318da3a5a5c5a7158217c493b670940b9cd1191e355","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:52.976659Z","signature_b64":"XsZ9voqvsx8mdpWcZbMS3A+f+UwwaMAGvY3KE1//gCFz6eAgxOgXe+SnJoYRnlAhR52ZS3epFSeyipFdF7PNAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aea56be62f0869cc357c8318da3a5a5c5a7158217c493b670940b9cd1191e355","last_reissued_at":"2026-05-17T23:41:52.976071Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:52.976071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.10869","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:41:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"umsDkmrDunsoGJj7TM6jRPy7QKYz5keKfxpwSjPkTgnJcefDUz+i0mUbZSWjBe7NlQ9xWlRgb+UGWMH0ch0jDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:56:56.502645Z"},"content_sha256":"fa22d47852144f97ebc7d64661c6cb55b0839e69c7591cd148bf3bd8691dbb76","schema_version":"1.0","event_id":"sha256:fa22d47852144f97ebc7d64661c6cb55b0839e69c7591cd148bf3bd8691dbb76"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:V2SWXZRPBBU4YNL4QMMNUOS2LR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Global embeddings of BTZ and Schwarzschild-AdS type black holes in a flat space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"A. A. Sheykin, D. P. Solovyev, S. A. Paston","submitted_at":"2019-05-26T20:08:21Z","abstract_excerpt":"We study the problem of construction of global isometric embedding for spherically symmetric black holes with negative cosmological constant in various dimensions. Firstly, we show that there is no such embedding for 4D RN-AdS black hole in 6D flat ambient space, completing the classification which we started earlier. Then we construct an explicit embedding of non-spinning BTZ black hole in 6D flat ambient space. Using this embedding as an anzats, we then construct a global explicit embedding of (d)-dimensional Schwarzschild-AdS black hole in a flat (d+3)-dimensional ambient space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.10869","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:41:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7CHVwZyxiqRsbmClESF7Gu+DLxptoeojh2VkX96lmtGTkjk0oFOnBq+Ic/UVG1JrjNluVzEEpHzClO78L9rQDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:56:56.503351Z"},"content_sha256":"99a010dba46d794e479cf7f60f5fc11bcb660e89dc398331826af2e8ba6d50bb","schema_version":"1.0","event_id":"sha256:99a010dba46d794e479cf7f60f5fc11bcb660e89dc398331826af2e8ba6d50bb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V2SWXZRPBBU4YNL4QMMNUOS2LR/bundle.json","state_url":"https://pith.science/pith/V2SWXZRPBBU4YNL4QMMNUOS2LR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V2SWXZRPBBU4YNL4QMMNUOS2LR/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-31T10:56:56Z","links":{"resolver":"https://pith.science/pith/V2SWXZRPBBU4YNL4QMMNUOS2LR","bundle":"https://pith.science/pith/V2SWXZRPBBU4YNL4QMMNUOS2LR/bundle.json","state":"https://pith.science/pith/V2SWXZRPBBU4YNL4QMMNUOS2LR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V2SWXZRPBBU4YNL4QMMNUOS2LR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:V2SWXZRPBBU4YNL4QMMNUOS2LR","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":"12d0941ae106f1329c157fb89e62be6f06ec674faf54cf7f04649361d6c9c4bc","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-05-26T20:08:21Z","title_canon_sha256":"99b72699c7ef5d9975c599a40541573ba22273a3a86823a3d1550f37014fbb65"},"schema_version":"1.0","source":{"id":"1905.10869","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.10869","created_at":"2026-05-17T23:41:52Z"},{"alias_kind":"arxiv_version","alias_value":"1905.10869v2","created_at":"2026-05-17T23:41:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.10869","created_at":"2026-05-17T23:41:52Z"},{"alias_kind":"pith_short_12","alias_value":"V2SWXZRPBBU4","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"V2SWXZRPBBU4YNL4","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"V2SWXZRP","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:99a010dba46d794e479cf7f60f5fc11bcb660e89dc398331826af2e8ba6d50bb","target":"graph","created_at":"2026-05-17T23:41:52Z","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 study the problem of construction of global isometric embedding for spherically symmetric black holes with negative cosmological constant in various dimensions. Firstly, we show that there is no such embedding for 4D RN-AdS black hole in 6D flat ambient space, completing the classification which we started earlier. Then we construct an explicit embedding of non-spinning BTZ black hole in 6D flat ambient space. Using this embedding as an anzats, we then construct a global explicit embedding of (d)-dimensional Schwarzschild-AdS black hole in a flat (d+3)-dimensional ambient space.","authors_text":"A. A. Sheykin, D. P. Solovyev, S. A. Paston","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-05-26T20:08:21Z","title":"Global embeddings of BTZ and Schwarzschild-AdS type black holes in a flat space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.10869","kind":"arxiv","version":2},"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:fa22d47852144f97ebc7d64661c6cb55b0839e69c7591cd148bf3bd8691dbb76","target":"record","created_at":"2026-05-17T23:41:52Z","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":"12d0941ae106f1329c157fb89e62be6f06ec674faf54cf7f04649361d6c9c4bc","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-05-26T20:08:21Z","title_canon_sha256":"99b72699c7ef5d9975c599a40541573ba22273a3a86823a3d1550f37014fbb65"},"schema_version":"1.0","source":{"id":"1905.10869","kind":"arxiv","version":2}},"canonical_sha256":"aea56be62f0869cc357c8318da3a5a5c5a7158217c493b670940b9cd1191e355","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aea56be62f0869cc357c8318da3a5a5c5a7158217c493b670940b9cd1191e355","first_computed_at":"2026-05-17T23:41:52.976071Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:52.976071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XsZ9voqvsx8mdpWcZbMS3A+f+UwwaMAGvY3KE1//gCFz6eAgxOgXe+SnJoYRnlAhR52ZS3epFSeyipFdF7PNAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:52.976659Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.10869","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa22d47852144f97ebc7d64661c6cb55b0839e69c7591cd148bf3bd8691dbb76","sha256:99a010dba46d794e479cf7f60f5fc11bcb660e89dc398331826af2e8ba6d50bb"],"state_sha256":"db8a617e7be97dd681b895dd68831a5c167565bc8f96162378fd70fe19a3a4c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lAsTvji6Sp30FTABjc2TJX+H5jNr7pGP4US9q3O5RTWEK/4shnAjsSQanDXIaI4AW93g3JiWbV5tqZMM1EPfCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T10:56:56.507377Z","bundle_sha256":"b985cb4dc654ea1f16ea4216b2ead203faff21614afdadbb7059dd52c5149175"}}