{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:BYHUKRU6ULAIA5QV7WGHFWVPHC","short_pith_number":"pith:BYHUKRU6","canonical_record":{"source":{"id":"hep-ph/0209048","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2002-09-04T19:18:07Z","cross_cats_sorted":["hep-th","nucl-th"],"title_canon_sha256":"52a7250b5a1e58181b278bb4064edf0ba1a97bc5526a750f21ff2aead2e1237d","abstract_canon_sha256":"f4b77b5a45421ad3b250c171b4433b04def439df48a7c06e0d1443b570304d91"},"schema_version":"1.0"},"canonical_sha256":"0e0f45469ea2c0807615fd8c72daaf38b11653ce1de87be28b2e6a99b4fae717","source":{"kind":"arxiv","id":"hep-ph/0209048","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0209048","created_at":"2026-07-04T16:34:19Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0209048v2","created_at":"2026-07-04T16:34:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0209048","created_at":"2026-07-04T16:34:19Z"},{"alias_kind":"pith_short_12","alias_value":"BYHUKRU6ULAI","created_at":"2026-07-04T16:34:19Z"},{"alias_kind":"pith_short_16","alias_value":"BYHUKRU6ULAIA5QV","created_at":"2026-07-04T16:34:19Z"},{"alias_kind":"pith_short_8","alias_value":"BYHUKRU6","created_at":"2026-07-04T16:34:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:BYHUKRU6ULAIA5QV7WGHFWVPHC","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0209048","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2002-09-04T19:18:07Z","cross_cats_sorted":["hep-th","nucl-th"],"title_canon_sha256":"52a7250b5a1e58181b278bb4064edf0ba1a97bc5526a750f21ff2aead2e1237d","abstract_canon_sha256":"f4b77b5a45421ad3b250c171b4433b04def439df48a7c06e0d1443b570304d91"},"schema_version":"1.0"},"canonical_sha256":"0e0f45469ea2c0807615fd8c72daaf38b11653ce1de87be28b2e6a99b4fae717","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:34:19.700291Z","signature_b64":"YybDRv9oSUZc0AXNuBUmkAV8yKPPyUExiTp9fJ1hbKCzTQa1E2ic6GvNREaHB5kaoLlH3XUaUwDL7jo4e6xNAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e0f45469ea2c0807615fd8c72daaf38b11653ce1de87be28b2e6a99b4fae717","last_reissued_at":"2026-07-04T16:34:19.699922Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:34:19.699922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0209048","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":"2026-07-04T16:34:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"grUqS3bhwW6uRlYqMqtNHDrHaj8OUw/MUYPmlqDs7vx8WPSEa4WZTKK3icP5Rafrd3RoJd6Laqy7c5sJXpSABg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T18:02:13.608578Z"},"content_sha256":"21552bd1428465fdd5a73faea4d6c766abcc3eb25b91f73066e24785145458b1","schema_version":"1.0","event_id":"sha256:21552bd1428465fdd5a73faea4d6c766abcc3eb25b91f73066e24785145458b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:BYHUKRU6ULAIA5QV7WGHFWVPHC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ward identity and electrical conductivity in hot QED","license":"","headline":"","cross_cats":["hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Gert Aarts, J. M. Martinez Resco (Ohio State)","submitted_at":"2002-09-04T19:18:07Z","abstract_excerpt":"We study the Ward identity for the effective photon-electron vertex summing the ladder diagrams contributing to the electrical conductivity in hot QED at leading logarithmic order. It is shown that the Ward identity requires the inclusion of a new diagram in the integral equation for the vertex that has not been considered before. The real part of this diagram is subleading and therefore the final expressions for the electrical conductivity at leading logarithmic order are not affected."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0209048","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/hep-ph/0209048/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":"2026-07-04T16:34:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MESKuynDcjaCBfL9aY5s5rVLNb07coQlVmc8Tj+j/X8IEsHgOJp4E51iuDrcjP5OOblNR9gGt38IbYbSRdfdAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T18:02:13.608896Z"},"content_sha256":"fd3a247a1cf82b8a9685b1631c5736b260c3e04ae1575a415b6b059d79c97ce4","schema_version":"1.0","event_id":"sha256:fd3a247a1cf82b8a9685b1631c5736b260c3e04ae1575a415b6b059d79c97ce4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BYHUKRU6ULAIA5QV7WGHFWVPHC/bundle.json","state_url":"https://pith.science/pith/BYHUKRU6ULAIA5QV7WGHFWVPHC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BYHUKRU6ULAIA5QV7WGHFWVPHC/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":"2026-08-14T18:02:13Z","links":{"resolver":"https://pith.science/pith/BYHUKRU6ULAIA5QV7WGHFWVPHC","bundle":"https://pith.science/pith/BYHUKRU6ULAIA5QV7WGHFWVPHC/bundle.json","state":"https://pith.science/pith/BYHUKRU6ULAIA5QV7WGHFWVPHC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BYHUKRU6ULAIA5QV7WGHFWVPHC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:BYHUKRU6ULAIA5QV7WGHFWVPHC","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":"f4b77b5a45421ad3b250c171b4433b04def439df48a7c06e0d1443b570304d91","cross_cats_sorted":["hep-th","nucl-th"],"license":"","primary_cat":"hep-ph","submitted_at":"2002-09-04T19:18:07Z","title_canon_sha256":"52a7250b5a1e58181b278bb4064edf0ba1a97bc5526a750f21ff2aead2e1237d"},"schema_version":"1.0","source":{"id":"hep-ph/0209048","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0209048","created_at":"2026-07-04T16:34:19Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0209048v2","created_at":"2026-07-04T16:34:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0209048","created_at":"2026-07-04T16:34:19Z"},{"alias_kind":"pith_short_12","alias_value":"BYHUKRU6ULAI","created_at":"2026-07-04T16:34:19Z"},{"alias_kind":"pith_short_16","alias_value":"BYHUKRU6ULAIA5QV","created_at":"2026-07-04T16:34:19Z"},{"alias_kind":"pith_short_8","alias_value":"BYHUKRU6","created_at":"2026-07-04T16:34:19Z"}],"graph_snapshots":[{"event_id":"sha256:fd3a247a1cf82b8a9685b1631c5736b260c3e04ae1575a415b6b059d79c97ce4","target":"graph","created_at":"2026-07-04T16:34:19Z","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/hep-ph/0209048/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the Ward identity for the effective photon-electron vertex summing the ladder diagrams contributing to the electrical conductivity in hot QED at leading logarithmic order. It is shown that the Ward identity requires the inclusion of a new diagram in the integral equation for the vertex that has not been considered before. The real part of this diagram is subleading and therefore the final expressions for the electrical conductivity at leading logarithmic order are not affected.","authors_text":"Gert Aarts, J. M. Martinez Resco (Ohio State)","cross_cats":["hep-th","nucl-th"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2002-09-04T19:18:07Z","title":"Ward identity and electrical conductivity in hot QED"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0209048","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":"sha256:21552bd1428465fdd5a73faea4d6c766abcc3eb25b91f73066e24785145458b1","target":"record","created_at":"2026-07-04T16:34:19Z","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":"f4b77b5a45421ad3b250c171b4433b04def439df48a7c06e0d1443b570304d91","cross_cats_sorted":["hep-th","nucl-th"],"license":"","primary_cat":"hep-ph","submitted_at":"2002-09-04T19:18:07Z","title_canon_sha256":"52a7250b5a1e58181b278bb4064edf0ba1a97bc5526a750f21ff2aead2e1237d"},"schema_version":"1.0","source":{"id":"hep-ph/0209048","kind":"arxiv","version":2}},"canonical_sha256":"0e0f45469ea2c0807615fd8c72daaf38b11653ce1de87be28b2e6a99b4fae717","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0e0f45469ea2c0807615fd8c72daaf38b11653ce1de87be28b2e6a99b4fae717","first_computed_at":"2026-07-04T16:34:19.699922Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:34:19.699922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YybDRv9oSUZc0AXNuBUmkAV8yKPPyUExiTp9fJ1hbKCzTQa1E2ic6GvNREaHB5kaoLlH3XUaUwDL7jo4e6xNAA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:34:19.700291Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0209048","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21552bd1428465fdd5a73faea4d6c766abcc3eb25b91f73066e24785145458b1","sha256:fd3a247a1cf82b8a9685b1631c5736b260c3e04ae1575a415b6b059d79c97ce4"],"state_sha256":"27ed63d1b133fdc6cff358f687add388398ddfe418334f529124a7eb2accaaaa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uYutQcYcqdo3rL3EezD09t5DECxyT6/+iVmzPnmYNi9QdMdSWYLSSGrO6zeqOO9BhP3vwg9UiLZ9BkLdH/JlDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T18:02:13.611944Z","bundle_sha256":"b1b408e2daf76abab0c97f549b241b32204ffd8eda9e019436443018da8a1846"}}