{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AC5BATIUL7OMXR5J5HJKIFZY3D","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":"a6ca249870a7ea07e0e9a0e6b1d05a0c56af61e5a9b995001c0690fb5b23c65d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-02-08T21:14:36Z","title_canon_sha256":"c8c441bbab5735fda2fd11379c8a4a9b441ac47e677437f060f5ad2c883fe799"},"schema_version":"1.0","source":{"id":"1602.02785","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.02785","created_at":"2026-05-18T01:17:41Z"},{"alias_kind":"arxiv_version","alias_value":"1602.02785v1","created_at":"2026-05-18T01:17:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.02785","created_at":"2026-05-18T01:17:41Z"},{"alias_kind":"pith_short_12","alias_value":"AC5BATIUL7OM","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AC5BATIUL7OMXR5J","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AC5BATIU","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:e2473a9aec832d1b7d157947345df953f15afcd2fe655c2112b88f8c29f5733e","target":"graph","created_at":"2026-05-18T01:17:41Z","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 present results for the QED contributions to the anomalous magnetic moment of the muon containing closed electron loops. The main focus is on perturbative corrections at four-loop order where the external photon couples to the external muon. Furthermore, all four-loop contributions involving simultaneously a closed electron and tau loop are computed. In combination with our recent results on the light-by-light-type corrections (see Ref. \\cite{Kurz:2015bia}) the complete four-loop electron-loop contribution to the anomalous magnetic moment of the muon has been obtained with an independent ca","authors_text":"Alexander Kurz, Alexander Smirnov, Matthias Steinhauser, Peter Marquard, Tao Liu, Vladimir Smirnov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-02-08T21:14:36Z","title":"Electron contribution to the muon anomalous magnetic moment at four loops"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.02785","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":"sha256:5672ffc7f3a6771f0a7e0aea79c139ed7bc01d9879f77f1a8a4c06936aa191dc","target":"record","created_at":"2026-05-18T01:17:41Z","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":"a6ca249870a7ea07e0e9a0e6b1d05a0c56af61e5a9b995001c0690fb5b23c65d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-02-08T21:14:36Z","title_canon_sha256":"c8c441bbab5735fda2fd11379c8a4a9b441ac47e677437f060f5ad2c883fe799"},"schema_version":"1.0","source":{"id":"1602.02785","kind":"arxiv","version":1}},"canonical_sha256":"00ba104d145fdccbc7a9e9d2a41738d8c59d86484560e09624f772189e168b8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00ba104d145fdccbc7a9e9d2a41738d8c59d86484560e09624f772189e168b8b","first_computed_at":"2026-05-18T01:17:41.589035Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:41.589035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s3l/okiMnePNGQDqeMMXBNngPeW+FZ5rZschrB4SGsDcOrSyPINLMQmwYxAwvEdGTHyOIMNVSdAoNn6QvRM2BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:41.589872Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.02785","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5672ffc7f3a6771f0a7e0aea79c139ed7bc01d9879f77f1a8a4c06936aa191dc","sha256:e2473a9aec832d1b7d157947345df953f15afcd2fe655c2112b88f8c29f5733e"],"state_sha256":"34f3cf158a65912be28a17a8b7e226e35a53a65cfb3d064306fabcb0d9f5a9e6"}