{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:4L2QU7PXBDD6HC6EJGLOCNVVOV","short_pith_number":"pith:4L2QU7PX","schema_version":"1.0","canonical_sha256":"e2f50a7df708c7e38bc44996e136b5757d82255f01447efae6f85220c9f4bf13","source":{"kind":"arxiv","id":"1404.2085","version":3},"attestation_state":"computed","paper":{"title":"Analysis of the quantum-mechanical equivalence of the metrics of a centrally symmetric uncharged gravitational field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"M.V. Gorbatenko, V.P. Neznamov","submitted_at":"2014-04-08T10:51:53Z","abstract_excerpt":"In the paper we analyze the quantum-mechanical equivalence of the metrics of a centrally symmetric uncharged gravitational field. We consider the Schwarzschild metrics in the spherical, isotropic and harmonic coordinates, and the Eddington-Finkelstein, Painleve-Gullstrand, Lemaitre-Finkelstein, Kruskal metrics. The scope of the analysis includes domains of the wave functions of Dirac's equation, hermiticity of Hamiltonians, and the possibility of existence of stationary bound states of spin-half particles. The constraint on the domain of the wave functions of the Hamiltonian in a Schwarzschild"},"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":"1404.2085","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-04-08T10:51:53Z","cross_cats_sorted":[],"title_canon_sha256":"d03e59254eb88ea37077a0d9f8d8c9b50c2ba7e9cdce132ea882dda5cfa01044","abstract_canon_sha256":"bd067bbc669e00b57c1f001d345f183b0587361c0ffcdce18f2be6d33ec4a227"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:10.063559Z","signature_b64":"LxUWG75fUxMbKc7tS0pxNBhilYNJLRIbvP8yC0+vdZRidtTxtF5QQZ8VVRc8t57n1mhapxduRtnM98keSAQxBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2f50a7df708c7e38bc44996e136b5757d82255f01447efae6f85220c9f4bf13","last_reissued_at":"2026-05-18T02:38:10.062896Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:10.062896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analysis of the quantum-mechanical equivalence of the metrics of a centrally symmetric uncharged gravitational field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"M.V. Gorbatenko, V.P. Neznamov","submitted_at":"2014-04-08T10:51:53Z","abstract_excerpt":"In the paper we analyze the quantum-mechanical equivalence of the metrics of a centrally symmetric uncharged gravitational field. We consider the Schwarzschild metrics in the spherical, isotropic and harmonic coordinates, and the Eddington-Finkelstein, Painleve-Gullstrand, Lemaitre-Finkelstein, Kruskal metrics. The scope of the analysis includes domains of the wave functions of Dirac's equation, hermiticity of Hamiltonians, and the possibility of existence of stationary bound states of spin-half particles. The constraint on the domain of the wave functions of the Hamiltonian in a Schwarzschild"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.2085","kind":"arxiv","version":3},"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":"1404.2085","created_at":"2026-05-18T02:38:10.063032+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.2085v3","created_at":"2026-05-18T02:38:10.063032+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.2085","created_at":"2026-05-18T02:38:10.063032+00:00"},{"alias_kind":"pith_short_12","alias_value":"4L2QU7PXBDD6","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"4L2QU7PXBDD6HC6E","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"4L2QU7PX","created_at":"2026-05-18T12:28:14.216126+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/4L2QU7PXBDD6HC6EJGLOCNVVOV","json":"https://pith.science/pith/4L2QU7PXBDD6HC6EJGLOCNVVOV.json","graph_json":"https://pith.science/api/pith-number/4L2QU7PXBDD6HC6EJGLOCNVVOV/graph.json","events_json":"https://pith.science/api/pith-number/4L2QU7PXBDD6HC6EJGLOCNVVOV/events.json","paper":"https://pith.science/paper/4L2QU7PX"},"agent_actions":{"view_html":"https://pith.science/pith/4L2QU7PXBDD6HC6EJGLOCNVVOV","download_json":"https://pith.science/pith/4L2QU7PXBDD6HC6EJGLOCNVVOV.json","view_paper":"https://pith.science/paper/4L2QU7PX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.2085&json=true","fetch_graph":"https://pith.science/api/pith-number/4L2QU7PXBDD6HC6EJGLOCNVVOV/graph.json","fetch_events":"https://pith.science/api/pith-number/4L2QU7PXBDD6HC6EJGLOCNVVOV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4L2QU7PXBDD6HC6EJGLOCNVVOV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4L2QU7PXBDD6HC6EJGLOCNVVOV/action/storage_attestation","attest_author":"https://pith.science/pith/4L2QU7PXBDD6HC6EJGLOCNVVOV/action/author_attestation","sign_citation":"https://pith.science/pith/4L2QU7PXBDD6HC6EJGLOCNVVOV/action/citation_signature","submit_replication":"https://pith.science/pith/4L2QU7PXBDD6HC6EJGLOCNVVOV/action/replication_record"}},"created_at":"2026-05-18T02:38:10.063032+00:00","updated_at":"2026-05-18T02:38:10.063032+00:00"}