{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:YRPDI7ET3OJ36JT5MZQQNVRMT5","short_pith_number":"pith:YRPDI7ET","canonical_record":{"source":{"id":"1412.3522","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"gr-qc","submitted_at":"2014-12-11T02:32:58Z","cross_cats_sorted":[],"title_canon_sha256":"20b2599c588bc11068b55503792dd8a9206760d66e12788cd70e6224ba491c35","abstract_canon_sha256":"39f96d7209ff4779edd3befa6ec185d687e359aec724443de470b11430b5a601"},"schema_version":"1.0"},"canonical_sha256":"c45e347c93db93bf267d666106d62c9f6aed009501464867e71dc45bb102f063","source":{"kind":"arxiv","id":"1412.3522","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.3522","created_at":"2026-05-18T02:31:30Z"},{"alias_kind":"arxiv_version","alias_value":"1412.3522v1","created_at":"2026-05-18T02:31:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.3522","created_at":"2026-05-18T02:31:30Z"},{"alias_kind":"pith_short_12","alias_value":"YRPDI7ET3OJ3","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YRPDI7ET3OJ36JT5","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YRPDI7ET","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:YRPDI7ET3OJ36JT5MZQQNVRMT5","target":"record","payload":{"canonical_record":{"source":{"id":"1412.3522","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"gr-qc","submitted_at":"2014-12-11T02:32:58Z","cross_cats_sorted":[],"title_canon_sha256":"20b2599c588bc11068b55503792dd8a9206760d66e12788cd70e6224ba491c35","abstract_canon_sha256":"39f96d7209ff4779edd3befa6ec185d687e359aec724443de470b11430b5a601"},"schema_version":"1.0"},"canonical_sha256":"c45e347c93db93bf267d666106d62c9f6aed009501464867e71dc45bb102f063","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:30.906660Z","signature_b64":"kbuMslTIrcJCQwyK1hmdD8kuig/4HmC6SUqU4C6zUjTKmH9X+UBBy2EQXzRz8oqAg+5PRn/7kk3cvQmMmsRQAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c45e347c93db93bf267d666106d62c9f6aed009501464867e71dc45bb102f063","last_reissued_at":"2026-05-18T02:31:30.906250Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:30.906250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.3522","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:31:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T/mN7vUd9PBf/whdLxropcQO+jIxJ5V8ekS2dVn9yYHlHmQLZtzSVnFF8fhKfdhXzjBZEo5TeGZMh3XsSbFfCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:54:33.571058Z"},"content_sha256":"d5e162836074a636463f747d0ae4e36dbcd5f7d3c66c820389807afa07d82da1","schema_version":"1.0","event_id":"sha256:d5e162836074a636463f747d0ae4e36dbcd5f7d3c66c820389807afa07d82da1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:YRPDI7ET3OJ36JT5MZQQNVRMT5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spin-orbit couplings of quantum fields in Schwarzschild spacetime","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Zhi-yong Wang","submitted_at":"2014-12-11T02:32:58Z","abstract_excerpt":"In Schwarzschild spacetime, the gravitational spin-orbit couplings of the massless Dirac field and the photon field can be studied in a unified way. In contrary to the previous investigations presented mainly at the quantum-mechanical level, our work is presented at the level of quantum field theory without resorting to the Foldy-Wouthuysen transformation. If massless Dirac particles and photons have the same momentums, their energy-level splittings due to the gravitational spin-orbit couplings are the same. Massless Dirac particles and photons coming from the Hawking radiations are partially "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3522","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:31:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u6wGuy6uYmWhVvYwyhCiqXYrjqG3R+Jyz7fcOTq0ksd9gv21114jSkkZevxzO4tlhMgFLEH6km3mOIiSdFe2CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:54:33.571412Z"},"content_sha256":"86f8875cd5c0c910d4987bec8d8d548ff85bf05d59bcf20538e547c80c70a367","schema_version":"1.0","event_id":"sha256:86f8875cd5c0c910d4987bec8d8d548ff85bf05d59bcf20538e547c80c70a367"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YRPDI7ET3OJ36JT5MZQQNVRMT5/bundle.json","state_url":"https://pith.science/pith/YRPDI7ET3OJ36JT5MZQQNVRMT5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YRPDI7ET3OJ36JT5MZQQNVRMT5/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":"2026-06-01T19:54:33Z","links":{"resolver":"https://pith.science/pith/YRPDI7ET3OJ36JT5MZQQNVRMT5","bundle":"https://pith.science/pith/YRPDI7ET3OJ36JT5MZQQNVRMT5/bundle.json","state":"https://pith.science/pith/YRPDI7ET3OJ36JT5MZQQNVRMT5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YRPDI7ET3OJ36JT5MZQQNVRMT5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YRPDI7ET3OJ36JT5MZQQNVRMT5","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":"39f96d7209ff4779edd3befa6ec185d687e359aec724443de470b11430b5a601","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"gr-qc","submitted_at":"2014-12-11T02:32:58Z","title_canon_sha256":"20b2599c588bc11068b55503792dd8a9206760d66e12788cd70e6224ba491c35"},"schema_version":"1.0","source":{"id":"1412.3522","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.3522","created_at":"2026-05-18T02:31:30Z"},{"alias_kind":"arxiv_version","alias_value":"1412.3522v1","created_at":"2026-05-18T02:31:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.3522","created_at":"2026-05-18T02:31:30Z"},{"alias_kind":"pith_short_12","alias_value":"YRPDI7ET3OJ3","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YRPDI7ET3OJ36JT5","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YRPDI7ET","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:86f8875cd5c0c910d4987bec8d8d548ff85bf05d59bcf20538e547c80c70a367","target":"graph","created_at":"2026-05-18T02:31:30Z","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":"In Schwarzschild spacetime, the gravitational spin-orbit couplings of the massless Dirac field and the photon field can be studied in a unified way. In contrary to the previous investigations presented mainly at the quantum-mechanical level, our work is presented at the level of quantum field theory without resorting to the Foldy-Wouthuysen transformation. If massless Dirac particles and photons have the same momentums, their energy-level splittings due to the gravitational spin-orbit couplings are the same. Massless Dirac particles and photons coming from the Hawking radiations are partially ","authors_text":"Zhi-yong Wang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"gr-qc","submitted_at":"2014-12-11T02:32:58Z","title":"Spin-orbit couplings of quantum fields in Schwarzschild spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3522","kind":"arxiv","version":1},"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:d5e162836074a636463f747d0ae4e36dbcd5f7d3c66c820389807afa07d82da1","target":"record","created_at":"2026-05-18T02:31:30Z","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":"39f96d7209ff4779edd3befa6ec185d687e359aec724443de470b11430b5a601","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"gr-qc","submitted_at":"2014-12-11T02:32:58Z","title_canon_sha256":"20b2599c588bc11068b55503792dd8a9206760d66e12788cd70e6224ba491c35"},"schema_version":"1.0","source":{"id":"1412.3522","kind":"arxiv","version":1}},"canonical_sha256":"c45e347c93db93bf267d666106d62c9f6aed009501464867e71dc45bb102f063","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c45e347c93db93bf267d666106d62c9f6aed009501464867e71dc45bb102f063","first_computed_at":"2026-05-18T02:31:30.906250Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:31:30.906250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kbuMslTIrcJCQwyK1hmdD8kuig/4HmC6SUqU4C6zUjTKmH9X+UBBy2EQXzRz8oqAg+5PRn/7kk3cvQmMmsRQAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:31:30.906660Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.3522","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5e162836074a636463f747d0ae4e36dbcd5f7d3c66c820389807afa07d82da1","sha256:86f8875cd5c0c910d4987bec8d8d548ff85bf05d59bcf20538e547c80c70a367"],"state_sha256":"e6d5d3009163e5ae49dcf2d2bfe14c0b79e0971c9ba2a057d5b4a36bcb93be4a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xupMkF8LXLUm6gu93Zcq4kDpSEyDtOokIz6s4wfA2TYDvc/xdxnuGPG0/VnncuHcHNmGx5PipYz1qcltTameCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T19:54:33.573178Z","bundle_sha256":"0a7d526e91c11a6fc26afe7e3e8023c35b395bfed5a9731912aba0b440fe8d21"}}