{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:4UDGIEG3DWBDHDEW5QQ7UX4RTN","short_pith_number":"pith:4UDGIEG3","schema_version":"1.0","canonical_sha256":"e5066410db1d82338c96ec21fa5f919b51134f934590afff735f9e1c63acc416","source":{"kind":"arxiv","id":"1107.0844","version":7},"attestation_state":"computed","paper":{"title":"A Modified Method for Deriving Self-Conjugate Dirac Hamiltonians in Arbitrary Gravitational Fields and Its Application to Centrally and Axially Symmetric Gravitational Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"M.V. Gorbatenko, V.P. Neznamov","submitted_at":"2011-07-05T10:58:48Z","abstract_excerpt":"We have proposed previously a method for constructing self-conjugate Hamiltonians H_eta in the eta-representation with a flat scalar product to describe the dynamics of Dirac particles in arbitrary gravitational fields. In this paper, we prove that, for block-diagonal metrics, the Hamiltonians H_eta can be obtained, in particular, using \"reduced\" parts of Dirac Hamiltonians, i.e. expressions for Dirac Hamiltonians derived using tetrad vectors in the Schwinger gauge without or with a few summands with bispinor connectivities. Based on these results, we propose a modified method for constructing"},"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":"1107.0844","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-07-05T10:58:48Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"bf7916c1dfaa1fa9423d0dcdf15590299b7e546115ecbfeb8c0a8c51c1847368","abstract_canon_sha256":"4cbe2d2f7e79619948f394ba7b3ef63fdcef4f55492c3e77366920d6597695d5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:40.605899Z","signature_b64":"6fjXKztBiM4xHiI+nDevzbEkUforcIp50KYAV3BeRpeHn6TnQfB4tQFHqePJ7CQ7WwotpCMlA5gcOxs95+7HCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5066410db1d82338c96ec21fa5f919b51134f934590afff735f9e1c63acc416","last_reissued_at":"2026-05-18T02:44:40.605170Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:40.605170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Modified Method for Deriving Self-Conjugate Dirac Hamiltonians in Arbitrary Gravitational Fields and Its Application to Centrally and Axially Symmetric Gravitational Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"M.V. Gorbatenko, V.P. Neznamov","submitted_at":"2011-07-05T10:58:48Z","abstract_excerpt":"We have proposed previously a method for constructing self-conjugate Hamiltonians H_eta in the eta-representation with a flat scalar product to describe the dynamics of Dirac particles in arbitrary gravitational fields. In this paper, we prove that, for block-diagonal metrics, the Hamiltonians H_eta can be obtained, in particular, using \"reduced\" parts of Dirac Hamiltonians, i.e. expressions for Dirac Hamiltonians derived using tetrad vectors in the Schwinger gauge without or with a few summands with bispinor connectivities. Based on these results, we propose a modified method for constructing"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.0844","kind":"arxiv","version":7},"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":"1107.0844","created_at":"2026-05-18T02:44:40.605288+00:00"},{"alias_kind":"arxiv_version","alias_value":"1107.0844v7","created_at":"2026-05-18T02:44:40.605288+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.0844","created_at":"2026-05-18T02:44:40.605288+00:00"},{"alias_kind":"pith_short_12","alias_value":"4UDGIEG3DWBD","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"4UDGIEG3DWBDHDEW","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"4UDGIEG3","created_at":"2026-05-18T12:26:20.644004+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/4UDGIEG3DWBDHDEW5QQ7UX4RTN","json":"https://pith.science/pith/4UDGIEG3DWBDHDEW5QQ7UX4RTN.json","graph_json":"https://pith.science/api/pith-number/4UDGIEG3DWBDHDEW5QQ7UX4RTN/graph.json","events_json":"https://pith.science/api/pith-number/4UDGIEG3DWBDHDEW5QQ7UX4RTN/events.json","paper":"https://pith.science/paper/4UDGIEG3"},"agent_actions":{"view_html":"https://pith.science/pith/4UDGIEG3DWBDHDEW5QQ7UX4RTN","download_json":"https://pith.science/pith/4UDGIEG3DWBDHDEW5QQ7UX4RTN.json","view_paper":"https://pith.science/paper/4UDGIEG3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1107.0844&json=true","fetch_graph":"https://pith.science/api/pith-number/4UDGIEG3DWBDHDEW5QQ7UX4RTN/graph.json","fetch_events":"https://pith.science/api/pith-number/4UDGIEG3DWBDHDEW5QQ7UX4RTN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4UDGIEG3DWBDHDEW5QQ7UX4RTN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4UDGIEG3DWBDHDEW5QQ7UX4RTN/action/storage_attestation","attest_author":"https://pith.science/pith/4UDGIEG3DWBDHDEW5QQ7UX4RTN/action/author_attestation","sign_citation":"https://pith.science/pith/4UDGIEG3DWBDHDEW5QQ7UX4RTN/action/citation_signature","submit_replication":"https://pith.science/pith/4UDGIEG3DWBDHDEW5QQ7UX4RTN/action/replication_record"}},"created_at":"2026-05-18T02:44:40.605288+00:00","updated_at":"2026-05-18T02:44:40.605288+00:00"}