{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:XA57JE2CY5EWW3XMZBGW4OBJRD","short_pith_number":"pith:XA57JE2C","canonical_record":{"source":{"id":"2010.13368","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-10-26T06:48:24Z","cross_cats_sorted":["astro-ph.HE","cond-mat.other","hep-th","nucl-th"],"title_canon_sha256":"7f44579077a86d05dfa9d8ca2a43ecf3e3767f0db89bf3bfce54ee4199b1e35b","abstract_canon_sha256":"e82fe87a74e53c845954159d0167d639e1a7684a0170e85d28c0f2aa4620b698"},"schema_version":"1.0"},"canonical_sha256":"b83bf49342c7496b6eecc84d6e382988f126ad9f0973f3ecd17b7a5f32f4e0cc","source":{"kind":"arxiv","id":"2010.13368","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.13368","created_at":"2026-07-05T02:17:38Z"},{"alias_kind":"arxiv_version","alias_value":"2010.13368v2","created_at":"2026-07-05T02:17:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.13368","created_at":"2026-07-05T02:17:38Z"},{"alias_kind":"pith_short_12","alias_value":"XA57JE2CY5EW","created_at":"2026-07-05T02:17:38Z"},{"alias_kind":"pith_short_16","alias_value":"XA57JE2CY5EWW3XM","created_at":"2026-07-05T02:17:38Z"},{"alias_kind":"pith_short_8","alias_value":"XA57JE2C","created_at":"2026-07-05T02:17:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:XA57JE2CY5EWW3XMZBGW4OBJRD","target":"record","payload":{"canonical_record":{"source":{"id":"2010.13368","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-10-26T06:48:24Z","cross_cats_sorted":["astro-ph.HE","cond-mat.other","hep-th","nucl-th"],"title_canon_sha256":"7f44579077a86d05dfa9d8ca2a43ecf3e3767f0db89bf3bfce54ee4199b1e35b","abstract_canon_sha256":"e82fe87a74e53c845954159d0167d639e1a7684a0170e85d28c0f2aa4620b698"},"schema_version":"1.0"},"canonical_sha256":"b83bf49342c7496b6eecc84d6e382988f126ad9f0973f3ecd17b7a5f32f4e0cc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:17:38.667921Z","signature_b64":"tX/sYbhZIDWAKcBKcf4q0yv6QYWGVXQ2Gegiyc8g6CAtJbTv1LYWMMG1XsaxZxd51rIarrGC33qHKarCp6ZAAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b83bf49342c7496b6eecc84d6e382988f126ad9f0973f3ecd17b7a5f32f4e0cc","last_reissued_at":"2026-07-05T02:17:38.667343Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:17:38.667343Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2010.13368","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:17:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1NylwB7V6z9kVE9xI35C/niS5PGnGTrhbNBDfhJGK8LzIF9/QZfPFBwJD1U/4BPrcgEhzvWC0huAJiuleLbqAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T02:00:46.867056Z"},"content_sha256":"b91a852efd8cb3a7652312689b8a83300dfc00677842f154a379b6bcf976cf74","schema_version":"1.0","event_id":"sha256:b91a852efd8cb3a7652312689b8a83300dfc00677842f154a379b6bcf976cf74"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:XA57JE2CY5EWW3XMZBGW4OBJRD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wigner functions and quantum kinetic theory of polarized photons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","cond-mat.other","hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Di-Lun Yang, Koichi Hattori, Naoki Yamamoto, Yoshimasa Hidaka","submitted_at":"2020-10-26T06:48:24Z","abstract_excerpt":"We derive the Wigner functions of polarized photons in the Coulomb gauge with the $\\hbar$ expansion applied to quantum field theory, and identify side-jump effects for massless photons. We also discuss the photonic chiral vortical effect for the Chern-Simons current and zilch vortical effect for the zilch current in local thermal equilibrium as a consistency check for our formalism. The results are found to be in agreement with those obtained from different approaches. Moreover, using the real-time formalism, we construct the quantum kinetic theory (QKT) for polarized photons. By further adopt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.13368","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2010.13368/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T02:17:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bmyUSHgCnjcjW9FY+/rPeT0lWAy8DdzUotGjJ/BjvEqTNBUvhlyAy/B3L8wq8ZqZEcx19UOwPDw0ezhMhslSBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T02:00:46.867567Z"},"content_sha256":"6b7b1377d6b438aa8ee2a38433bf2ec0bb8cb33502956be0661fde36ba3d0b31","schema_version":"1.0","event_id":"sha256:6b7b1377d6b438aa8ee2a38433bf2ec0bb8cb33502956be0661fde36ba3d0b31"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XA57JE2CY5EWW3XMZBGW4OBJRD/bundle.json","state_url":"https://pith.science/pith/XA57JE2CY5EWW3XMZBGW4OBJRD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XA57JE2CY5EWW3XMZBGW4OBJRD/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":"2026-08-18T02:00:46Z","links":{"resolver":"https://pith.science/pith/XA57JE2CY5EWW3XMZBGW4OBJRD","bundle":"https://pith.science/pith/XA57JE2CY5EWW3XMZBGW4OBJRD/bundle.json","state":"https://pith.science/pith/XA57JE2CY5EWW3XMZBGW4OBJRD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XA57JE2CY5EWW3XMZBGW4OBJRD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:XA57JE2CY5EWW3XMZBGW4OBJRD","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":"e82fe87a74e53c845954159d0167d639e1a7684a0170e85d28c0f2aa4620b698","cross_cats_sorted":["astro-ph.HE","cond-mat.other","hep-th","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-10-26T06:48:24Z","title_canon_sha256":"7f44579077a86d05dfa9d8ca2a43ecf3e3767f0db89bf3bfce54ee4199b1e35b"},"schema_version":"1.0","source":{"id":"2010.13368","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.13368","created_at":"2026-07-05T02:17:38Z"},{"alias_kind":"arxiv_version","alias_value":"2010.13368v2","created_at":"2026-07-05T02:17:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.13368","created_at":"2026-07-05T02:17:38Z"},{"alias_kind":"pith_short_12","alias_value":"XA57JE2CY5EW","created_at":"2026-07-05T02:17:38Z"},{"alias_kind":"pith_short_16","alias_value":"XA57JE2CY5EWW3XM","created_at":"2026-07-05T02:17:38Z"},{"alias_kind":"pith_short_8","alias_value":"XA57JE2C","created_at":"2026-07-05T02:17:38Z"}],"graph_snapshots":[{"event_id":"sha256:6b7b1377d6b438aa8ee2a38433bf2ec0bb8cb33502956be0661fde36ba3d0b31","target":"graph","created_at":"2026-07-05T02:17:38Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2010.13368/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive the Wigner functions of polarized photons in the Coulomb gauge with the $\\hbar$ expansion applied to quantum field theory, and identify side-jump effects for massless photons. We also discuss the photonic chiral vortical effect for the Chern-Simons current and zilch vortical effect for the zilch current in local thermal equilibrium as a consistency check for our formalism. The results are found to be in agreement with those obtained from different approaches. Moreover, using the real-time formalism, we construct the quantum kinetic theory (QKT) for polarized photons. By further adopt","authors_text":"Di-Lun Yang, Koichi Hattori, Naoki Yamamoto, Yoshimasa Hidaka","cross_cats":["astro-ph.HE","cond-mat.other","hep-th","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-10-26T06:48:24Z","title":"Wigner functions and quantum kinetic theory of polarized photons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.13368","kind":"arxiv","version":2},"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:b91a852efd8cb3a7652312689b8a83300dfc00677842f154a379b6bcf976cf74","target":"record","created_at":"2026-07-05T02:17:38Z","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":"e82fe87a74e53c845954159d0167d639e1a7684a0170e85d28c0f2aa4620b698","cross_cats_sorted":["astro-ph.HE","cond-mat.other","hep-th","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-10-26T06:48:24Z","title_canon_sha256":"7f44579077a86d05dfa9d8ca2a43ecf3e3767f0db89bf3bfce54ee4199b1e35b"},"schema_version":"1.0","source":{"id":"2010.13368","kind":"arxiv","version":2}},"canonical_sha256":"b83bf49342c7496b6eecc84d6e382988f126ad9f0973f3ecd17b7a5f32f4e0cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b83bf49342c7496b6eecc84d6e382988f126ad9f0973f3ecd17b7a5f32f4e0cc","first_computed_at":"2026-07-05T02:17:38.667343Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:17:38.667343Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tX/sYbhZIDWAKcBKcf4q0yv6QYWGVXQ2Gegiyc8g6CAtJbTv1LYWMMG1XsaxZxd51rIarrGC33qHKarCp6ZAAw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:17:38.667921Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.13368","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b91a852efd8cb3a7652312689b8a83300dfc00677842f154a379b6bcf976cf74","sha256:6b7b1377d6b438aa8ee2a38433bf2ec0bb8cb33502956be0661fde36ba3d0b31"],"state_sha256":"7ca591876717d6cb3ef6caab4869db5e8e6178255a1ca8ad4deee35414cce01e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2IyQ4ZkJ7DskisvfuriBHbe3zh/fyCE20pHuoOJ/BGpem9uo+3/0w5H+YeGoxKIyaX8xv70glWrFirp96crpAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T02:00:46.871418Z","bundle_sha256":"f6357db0f2578b411a066bf6e29e3c2ed198551918933d0e2a91eabc532e6223"}}