{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:R35FBCBWHQVEZMD2R56KEYVLOU","short_pith_number":"pith:R35FBCBW","schema_version":"1.0","canonical_sha256":"8efa5088363c2a4cb07a8f7ca262ab7532adc19ce915a149e0963c79d002b082","source":{"kind":"arxiv","id":"1904.08782","version":1},"attestation_state":"computed","paper":{"title":"Quantum mechanical equivalence of the metrics of a centrally symmetric gravitational field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"M.V.Gorbatenko, V.P.Neznamov","submitted_at":"2019-04-16T17:26:39Z","abstract_excerpt":"We analyze the quantum mechanical equivalence of the metrics of a centrally symmetric uncharged gravitational field. We consider the static Schwarzschild metric in spherical and isotropic coordinates, the stationary Eddington-Finkelstein and Painlev\\'e-Gullstrand metrics, and nonstationary Lema\\^itre-Finkelstein and Kruskal-Szekeres metrics. When the real radial functions of the Dirac equation and of the second-order equation in the Schwarzschild field are used, the domain of wave functions is restricted to the range $r>r_{0}$, where $r_{0}$ is the radius of the event horizon. A corresponding "},"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":"1904.08782","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2019-04-16T17:26:39Z","cross_cats_sorted":[],"title_canon_sha256":"4cdcf5b710957ecb51e6f4e345177fb2087d4363945ad03d0c940bc098d3dad8","abstract_canon_sha256":"58f1bf3d567fe468d4d86c49670a61d7221610d6bf0509aef8cb9a88dca46540"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:12.951641Z","signature_b64":"9sllimWNzPM3eluwxvAlo8bUM/z31MHLemEuQRZMSD3SoR22CKyPuI40pYlwxSac4aekR7VoqZAuI1K/YlaMDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8efa5088363c2a4cb07a8f7ca262ab7532adc19ce915a149e0963c79d002b082","last_reissued_at":"2026-05-17T23:48:12.951143Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:12.951143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum mechanical equivalence of the metrics of a centrally symmetric gravitational field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"M.V.Gorbatenko, V.P.Neznamov","submitted_at":"2019-04-16T17:26:39Z","abstract_excerpt":"We analyze the quantum mechanical equivalence of the metrics of a centrally symmetric uncharged gravitational field. We consider the static Schwarzschild metric in spherical and isotropic coordinates, the stationary Eddington-Finkelstein and Painlev\\'e-Gullstrand metrics, and nonstationary Lema\\^itre-Finkelstein and Kruskal-Szekeres metrics. When the real radial functions of the Dirac equation and of the second-order equation in the Schwarzschild field are used, the domain of wave functions is restricted to the range $r>r_{0}$, where $r_{0}$ is the radius of the event horizon. A corresponding "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.08782","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":"1904.08782","created_at":"2026-05-17T23:48:12.951218+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.08782v1","created_at":"2026-05-17T23:48:12.951218+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.08782","created_at":"2026-05-17T23:48:12.951218+00:00"},{"alias_kind":"pith_short_12","alias_value":"R35FBCBWHQVE","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_16","alias_value":"R35FBCBWHQVEZMD2","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_8","alias_value":"R35FBCBW","created_at":"2026-05-18T12:33:27.125529+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/R35FBCBWHQVEZMD2R56KEYVLOU","json":"https://pith.science/pith/R35FBCBWHQVEZMD2R56KEYVLOU.json","graph_json":"https://pith.science/api/pith-number/R35FBCBWHQVEZMD2R56KEYVLOU/graph.json","events_json":"https://pith.science/api/pith-number/R35FBCBWHQVEZMD2R56KEYVLOU/events.json","paper":"https://pith.science/paper/R35FBCBW"},"agent_actions":{"view_html":"https://pith.science/pith/R35FBCBWHQVEZMD2R56KEYVLOU","download_json":"https://pith.science/pith/R35FBCBWHQVEZMD2R56KEYVLOU.json","view_paper":"https://pith.science/paper/R35FBCBW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.08782&json=true","fetch_graph":"https://pith.science/api/pith-number/R35FBCBWHQVEZMD2R56KEYVLOU/graph.json","fetch_events":"https://pith.science/api/pith-number/R35FBCBWHQVEZMD2R56KEYVLOU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R35FBCBWHQVEZMD2R56KEYVLOU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R35FBCBWHQVEZMD2R56KEYVLOU/action/storage_attestation","attest_author":"https://pith.science/pith/R35FBCBWHQVEZMD2R56KEYVLOU/action/author_attestation","sign_citation":"https://pith.science/pith/R35FBCBWHQVEZMD2R56KEYVLOU/action/citation_signature","submit_replication":"https://pith.science/pith/R35FBCBWHQVEZMD2R56KEYVLOU/action/replication_record"}},"created_at":"2026-05-17T23:48:12.951218+00:00","updated_at":"2026-05-17T23:48:12.951218+00:00"}