{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:VRIPOVP5Q3EN6XJW2EG2PDQY4T","short_pith_number":"pith:VRIPOVP5","schema_version":"1.0","canonical_sha256":"ac50f755fd86c8df5d36d10da78e18e4ea61aaa9bad00d23f219db2ba0ba2937","source":{"kind":"arxiv","id":"1306.0479","version":2},"attestation_state":"computed","paper":{"title":"Nonrelativistic Limit of the Dirac-Schwarzschild Hamiltonian: Gravitational Zitterbewegung and Gravitational Spin-Orbit Coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"J. H. Noble, U. D. Jentschura","submitted_at":"2013-06-03T16:03:54Z","abstract_excerpt":"We investigate the nonrelativistic limit of the gravitationally coupled Dirac Equation via a Foldy-Wouthuysen transformation. The relativistic correction terms have immediate and obvious physical interpretations in terms of a gravitational zitterbewegung, and a gravitational spin-orbit coupling. We find no direct coupling of the spin vector to the gravitational force, which would otherwise violate parity. The particle-antiparticle symmetry described recently by one of us in [Phys.Rev.A 87 (2013) 032101] is verified on the level of the perturbative corrections accessed by the Foldy-Wouthuysen t"},"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":"1306.0479","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-06-03T16:03:54Z","cross_cats_sorted":["hep-ph","hep-th","math-ph","math.MP"],"title_canon_sha256":"b32adb196b762722e8d568407ae9657ab2fc45a7e8e9a8030149c60566645452","abstract_canon_sha256":"73399b0ab4c7eee8e93d9cbbe71d4069a078b829924c8b61f26d3114a1e1b161"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:18.054531Z","signature_b64":"1VkTFF5ssacK2J+etRsoFzJxdlrgMPHH9yhMNoWLDqG4k3hPVhchZF+sWovyrDMzqQZtrwdhoW+8kexpJ1HsDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac50f755fd86c8df5d36d10da78e18e4ea61aaa9bad00d23f219db2ba0ba2937","last_reissued_at":"2026-05-18T03:15:18.053829Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:18.053829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonrelativistic Limit of the Dirac-Schwarzschild Hamiltonian: Gravitational Zitterbewegung and Gravitational Spin-Orbit Coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"J. H. Noble, U. D. Jentschura","submitted_at":"2013-06-03T16:03:54Z","abstract_excerpt":"We investigate the nonrelativistic limit of the gravitationally coupled Dirac Equation via a Foldy-Wouthuysen transformation. The relativistic correction terms have immediate and obvious physical interpretations in terms of a gravitational zitterbewegung, and a gravitational spin-orbit coupling. We find no direct coupling of the spin vector to the gravitational force, which would otherwise violate parity. The particle-antiparticle symmetry described recently by one of us in [Phys.Rev.A 87 (2013) 032101] is verified on the level of the perturbative corrections accessed by the Foldy-Wouthuysen t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0479","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1306.0479","created_at":"2026-05-18T03:15:18.053960+00:00"},{"alias_kind":"arxiv_version","alias_value":"1306.0479v2","created_at":"2026-05-18T03:15:18.053960+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0479","created_at":"2026-05-18T03:15:18.053960+00:00"},{"alias_kind":"pith_short_12","alias_value":"VRIPOVP5Q3EN","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_16","alias_value":"VRIPOVP5Q3EN6XJW","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_8","alias_value":"VRIPOVP5","created_at":"2026-05-18T12:28:04.890932+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/VRIPOVP5Q3EN6XJW2EG2PDQY4T","json":"https://pith.science/pith/VRIPOVP5Q3EN6XJW2EG2PDQY4T.json","graph_json":"https://pith.science/api/pith-number/VRIPOVP5Q3EN6XJW2EG2PDQY4T/graph.json","events_json":"https://pith.science/api/pith-number/VRIPOVP5Q3EN6XJW2EG2PDQY4T/events.json","paper":"https://pith.science/paper/VRIPOVP5"},"agent_actions":{"view_html":"https://pith.science/pith/VRIPOVP5Q3EN6XJW2EG2PDQY4T","download_json":"https://pith.science/pith/VRIPOVP5Q3EN6XJW2EG2PDQY4T.json","view_paper":"https://pith.science/paper/VRIPOVP5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1306.0479&json=true","fetch_graph":"https://pith.science/api/pith-number/VRIPOVP5Q3EN6XJW2EG2PDQY4T/graph.json","fetch_events":"https://pith.science/api/pith-number/VRIPOVP5Q3EN6XJW2EG2PDQY4T/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VRIPOVP5Q3EN6XJW2EG2PDQY4T/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VRIPOVP5Q3EN6XJW2EG2PDQY4T/action/storage_attestation","attest_author":"https://pith.science/pith/VRIPOVP5Q3EN6XJW2EG2PDQY4T/action/author_attestation","sign_citation":"https://pith.science/pith/VRIPOVP5Q3EN6XJW2EG2PDQY4T/action/citation_signature","submit_replication":"https://pith.science/pith/VRIPOVP5Q3EN6XJW2EG2PDQY4T/action/replication_record"}},"created_at":"2026-05-18T03:15:18.053960+00:00","updated_at":"2026-05-18T03:15:18.053960+00:00"}