{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5CUKCXHEA4O37JPWTMAR5FXOZB","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":"69a20cca20797f0b08ff8ab755a2a75ceefb86417535b9410a0eb00ea11b3b9d","cross_cats_sorted":["astro-ph.HE","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-04-17T17:31:02Z","title_canon_sha256":"7864322ed495f10728b56129c49306817fccdc8e2b9855e75d2cd0c7f98622b5"},"schema_version":"1.0","source":{"id":"1704.05040","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.05040","created_at":"2026-05-18T00:27:52Z"},{"alias_kind":"arxiv_version","alias_value":"1704.05040v2","created_at":"2026-05-18T00:27:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.05040","created_at":"2026-05-18T00:27:52Z"},{"alias_kind":"pith_short_12","alias_value":"5CUKCXHEA4O3","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5CUKCXHEA4O37JPW","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5CUKCXHE","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:9a109ad06242af0e02c2c58035ed320c53424eee46d1fa7a0c79a65e67b85fbb","target":"graph","created_at":"2026-05-18T00:27:52Z","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":"Extending work by Gies and Karbstein on the Euler-Heisenberg Lagrangian, it has recently been shown that the one-loop propagator of a charged scalar particle in a constant electromagnetic field has a one-particle reducible contribution in addition to the well-studied irreducible one. Here we further generalize this result to the spinor case, and find the same relation between the reducible term, the tree-level propagator and the one-loop Euler-Heisenberg Lagrangian as in the scalar case. Our demonstration uses a novel worldline path integral representation of the photon-dressed spinor propagat","authors_text":"Christian Schubert, Fiorenzo Bastianelli, James P. Edwards, Naser Ahmadiniaz, Olindo Corradini","cross_cats":["astro-ph.HE","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-04-17T17:31:02Z","title":"One-particle reducible contribution to the one-loop spinor propagator in a constant field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.05040","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":"sha256:049c1bf8db2471950506611128d923e2bc13e4902e0c2914ef3354ab40ab294a","target":"record","created_at":"2026-05-18T00:27:52Z","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":"69a20cca20797f0b08ff8ab755a2a75ceefb86417535b9410a0eb00ea11b3b9d","cross_cats_sorted":["astro-ph.HE","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-04-17T17:31:02Z","title_canon_sha256":"7864322ed495f10728b56129c49306817fccdc8e2b9855e75d2cd0c7f98622b5"},"schema_version":"1.0","source":{"id":"1704.05040","kind":"arxiv","version":2}},"canonical_sha256":"e8a8a15ce4071dbfa5f69b011e96eec866ac66f90bf8f1a785f167b34430e54b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8a8a15ce4071dbfa5f69b011e96eec866ac66f90bf8f1a785f167b34430e54b","first_computed_at":"2026-05-18T00:27:52.645659Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:52.645659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dK4UYIkwpx1Ru7i9NM9kiUAf0SzA+/hmjVoYKsIVi8euCDcAhaFztES2oFVK1EC/ksr7E4PsdtNoP/NJrNnTDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:52.646234Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.05040","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:049c1bf8db2471950506611128d923e2bc13e4902e0c2914ef3354ab40ab294a","sha256:9a109ad06242af0e02c2c58035ed320c53424eee46d1fa7a0c79a65e67b85fbb"],"state_sha256":"0d0af4494554211c8f1e4637215980063838df3d126df21fd0d781296dabc17b"}