{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:NGRWFPNURTA2RSVNV3XFLPEONB","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":"7828c0c58f1f12a7d1d4eadcd754df09403bf7cd85b4ac5734dd252bb1775618","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2003-01-21T10:05:41Z","title_canon_sha256":"926195766ae1b6c4a3244d08997d50e0f40ebe964355750eec09155c52009bd8"},"schema_version":"1.0","source":{"id":"hep-ph/0301170","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0301170","created_at":"2026-07-04T15:18:20Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0301170v4","created_at":"2026-07-04T15:18:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0301170","created_at":"2026-07-04T15:18:20Z"},{"alias_kind":"pith_short_12","alias_value":"NGRWFPNURTA2","created_at":"2026-07-04T15:18:20Z"},{"alias_kind":"pith_short_16","alias_value":"NGRWFPNURTA2RSVN","created_at":"2026-07-04T15:18:20Z"},{"alias_kind":"pith_short_8","alias_value":"NGRWFPNU","created_at":"2026-07-04T15:18:20Z"}],"graph_snapshots":[{"event_id":"sha256:789f7bf380c26f1a5cda06565b073fb303617b47030ead32e539cf94c2698f55","target":"graph","created_at":"2026-07-04T15:18:20Z","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/0301170/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We carry out a systematic investigation of all the 2-loop integrals occurring in the electron vertex in QED in the continuous $D$-dimensional regularization scheme, for on-shell electrons, momentum transfer $t=-Q^2$ and finite squared electron mass $m_e^2=a$. We identify all the Master Integrals (MI's) of the problem and write the differential equations in $Q^2$ which they satisfy. The equations are expanded in powers of $\\epsilon = (4-D)/2$ and solved by the Euler's method of the variation of the constants. As a result, we obtain the coefficients of the Laurent expansion in $\\epsilon$ of the ","authors_text":"(2) Bologna U., 3), (3) Karlsruhe U., 4) ((1) Freiburg U., (4) INFN), E. Remiddi (2, P. Mastrolia (2, R. Bonciani (1)","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2003-01-21T10:05:41Z","title":"Vertex diagrams for the QED form factors at the 2-loop level"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0301170","kind":"arxiv","version":4},"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":"sha256:5ddae09e11b0a8e3ce6d10378da35358ec744fd263c8012ae8a5902d5c235f7c","target":"record","created_at":"2026-07-04T15:18:20Z","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":"7828c0c58f1f12a7d1d4eadcd754df09403bf7cd85b4ac5734dd252bb1775618","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2003-01-21T10:05:41Z","title_canon_sha256":"926195766ae1b6c4a3244d08997d50e0f40ebe964355750eec09155c52009bd8"},"schema_version":"1.0","source":{"id":"hep-ph/0301170","kind":"arxiv","version":4}},"canonical_sha256":"69a362bdb48cc1a8caadaeee55bc8e684c8eed02b8f51bca5c5fa61559e661d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69a362bdb48cc1a8caadaeee55bc8e684c8eed02b8f51bca5c5fa61559e661d4","first_computed_at":"2026-07-04T15:18:20.946243Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:18:20.946243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I6FYScD8tyDT98d858BAZSvNwtuaIv7ZmqfUOKCw1Z3gjww3I1DTlRbDrOm5K52QU8SvqykTyNjig5CGPaiLCw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:18:20.946629Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0301170","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ddae09e11b0a8e3ce6d10378da35358ec744fd263c8012ae8a5902d5c235f7c","sha256:789f7bf380c26f1a5cda06565b073fb303617b47030ead32e539cf94c2698f55"],"state_sha256":"ed8d590fc17b77d0f5ae445da9b294426849172b8aece328b8d897f5f0a46e20"}