{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:DDJM4ULV5X4SVVTX7I5MBF2ET6","short_pith_number":"pith:DDJM4ULV","canonical_record":{"source":{"id":"hep-ph/0202115","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2002-02-12T18:42:41Z","cross_cats_sorted":[],"title_canon_sha256":"7e04487ad028ea3bc15179af1964bddfeeeaddcbd827d75318503c09e3b70a2e","abstract_canon_sha256":"604418c8e380379e7a45722425903f1260634faaa1f8284f3e43f615ddb7c78e"},"schema_version":"1.0"},"canonical_sha256":"18d2ce5175edf92ad677fa3ac097449f86659f01c6480c8e893af29540b20352","source":{"kind":"arxiv","id":"hep-ph/0202115","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0202115","created_at":"2026-05-18T01:39:09Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0202115v1","created_at":"2026-05-18T01:39:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0202115","created_at":"2026-05-18T01:39:09Z"},{"alias_kind":"pith_short_12","alias_value":"DDJM4ULV5X4S","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"DDJM4ULV5X4SVVTX","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"DDJM4ULV","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:DDJM4ULV5X4SVVTX7I5MBF2ET6","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0202115","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2002-02-12T18:42:41Z","cross_cats_sorted":[],"title_canon_sha256":"7e04487ad028ea3bc15179af1964bddfeeeaddcbd827d75318503c09e3b70a2e","abstract_canon_sha256":"604418c8e380379e7a45722425903f1260634faaa1f8284f3e43f615ddb7c78e"},"schema_version":"1.0"},"canonical_sha256":"18d2ce5175edf92ad677fa3ac097449f86659f01c6480c8e893af29540b20352","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:09.042956Z","signature_b64":"d0QH3/MDTwTMqFll7gDfkG3zq+dIZH2udTyyYXLIzZTEq3bsAIXVToBzlkN1xbzOino1nfXObgJrVidYh1mfDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"18d2ce5175edf92ad677fa3ac097449f86659f01c6480c8e893af29540b20352","last_reissued_at":"2026-05-18T01:39:09.042240Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:09.042240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0202115","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":"2026-05-18T01:39:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n1Hq6742TkzjWjPawXA1wCH83CcvhITu9Gcn6wHzXE0CeKsaPFxVilM0dYVUMGueqBorY2Ubajv+jpTZjBL/BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T07:53:21.216247Z"},"content_sha256":"00ef7e7c0435b1dad171ffb5db9bbab0f44ecf7e2b512ba7e96893f5deaf24ec","schema_version":"1.0","event_id":"sha256:00ef7e7c0435b1dad171ffb5db9bbab0f44ecf7e2b512ba7e96893f5deaf24ec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:DDJM4ULV5X4SVVTX7I5MBF2ET6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymmetric Chern-Simons number diffusion from CP-violation","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Alejandro Arrizabalaga, Bert-Jan Nauta","submitted_at":"2002-02-12T18:42:41Z","abstract_excerpt":"We study Chern-Simons number diffusion in a SU(2)-Higgs model with CP-odd dimension-eight operators. We find that the thermal average of the magnitude of the velocity of the Chern-Simons number depends on the direction of the velocity. This implies that the distribution function of the Chern-Simons number will develop an asymmetry. It is argued that this asymmetry manifests itself through a linear growth of the expectation value of the third power of the Chern-Simons number. This linear behavior of the third power of a coordinate of a periodic direction is verified by a numerical solution of a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0202115","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":"2026-05-18T01:39:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d1dIJVLko19aqAUDaG9mhutE7Mz2W5nIknZnILIcsKkckOUAbsBPWTrlrl3pXWwioaFLLI4fYHShyl7h+NgFDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T07:53:21.216886Z"},"content_sha256":"2f815cd72906222b9fbb9f6e5177500a70ab8f4ff24af5054ed8c2135d8877f7","schema_version":"1.0","event_id":"sha256:2f815cd72906222b9fbb9f6e5177500a70ab8f4ff24af5054ed8c2135d8877f7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DDJM4ULV5X4SVVTX7I5MBF2ET6/bundle.json","state_url":"https://pith.science/pith/DDJM4ULV5X4SVVTX7I5MBF2ET6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DDJM4ULV5X4SVVTX7I5MBF2ET6/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":"2026-07-01T07:53:21Z","links":{"resolver":"https://pith.science/pith/DDJM4ULV5X4SVVTX7I5MBF2ET6","bundle":"https://pith.science/pith/DDJM4ULV5X4SVVTX7I5MBF2ET6/bundle.json","state":"https://pith.science/pith/DDJM4ULV5X4SVVTX7I5MBF2ET6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DDJM4ULV5X4SVVTX7I5MBF2ET6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:DDJM4ULV5X4SVVTX7I5MBF2ET6","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":"604418c8e380379e7a45722425903f1260634faaa1f8284f3e43f615ddb7c78e","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2002-02-12T18:42:41Z","title_canon_sha256":"7e04487ad028ea3bc15179af1964bddfeeeaddcbd827d75318503c09e3b70a2e"},"schema_version":"1.0","source":{"id":"hep-ph/0202115","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0202115","created_at":"2026-05-18T01:39:09Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0202115v1","created_at":"2026-05-18T01:39:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0202115","created_at":"2026-05-18T01:39:09Z"},{"alias_kind":"pith_short_12","alias_value":"DDJM4ULV5X4S","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"DDJM4ULV5X4SVVTX","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"DDJM4ULV","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:2f815cd72906222b9fbb9f6e5177500a70ab8f4ff24af5054ed8c2135d8877f7","target":"graph","created_at":"2026-05-18T01:39:09Z","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":"We study Chern-Simons number diffusion in a SU(2)-Higgs model with CP-odd dimension-eight operators. We find that the thermal average of the magnitude of the velocity of the Chern-Simons number depends on the direction of the velocity. This implies that the distribution function of the Chern-Simons number will develop an asymmetry. It is argued that this asymmetry manifests itself through a linear growth of the expectation value of the third power of the Chern-Simons number. This linear behavior of the third power of a coordinate of a periodic direction is verified by a numerical solution of a","authors_text":"Alejandro Arrizabalaga, Bert-Jan Nauta","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2002-02-12T18:42:41Z","title":"Asymmetric Chern-Simons number diffusion from CP-violation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0202115","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":"sha256:00ef7e7c0435b1dad171ffb5db9bbab0f44ecf7e2b512ba7e96893f5deaf24ec","target":"record","created_at":"2026-05-18T01:39:09Z","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":"604418c8e380379e7a45722425903f1260634faaa1f8284f3e43f615ddb7c78e","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2002-02-12T18:42:41Z","title_canon_sha256":"7e04487ad028ea3bc15179af1964bddfeeeaddcbd827d75318503c09e3b70a2e"},"schema_version":"1.0","source":{"id":"hep-ph/0202115","kind":"arxiv","version":1}},"canonical_sha256":"18d2ce5175edf92ad677fa3ac097449f86659f01c6480c8e893af29540b20352","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"18d2ce5175edf92ad677fa3ac097449f86659f01c6480c8e893af29540b20352","first_computed_at":"2026-05-18T01:39:09.042240Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:09.042240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d0QH3/MDTwTMqFll7gDfkG3zq+dIZH2udTyyYXLIzZTEq3bsAIXVToBzlkN1xbzOino1nfXObgJrVidYh1mfDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:09.042956Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0202115","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00ef7e7c0435b1dad171ffb5db9bbab0f44ecf7e2b512ba7e96893f5deaf24ec","sha256:2f815cd72906222b9fbb9f6e5177500a70ab8f4ff24af5054ed8c2135d8877f7"],"state_sha256":"4fb544d0588d0b3a4fc13ef6cf6e8953ba9ab349033b9e0b821222ba7c97f049"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hjDGyB+f9QRiekDmBPFD04jn2ITuAV8HEgdhaZx+4fb2dBQynD0l5T5HC8wfcBqQUXm5DmbOU0BXYGxlTPcjBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T07:53:21.220362Z","bundle_sha256":"bc35cbb10325e3920532b8d568cee60f7308cf4d97bb388c638620668547bb8d"}}