{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:GPPOAQ6OSLQ263BYHCGOGR26YU","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":"bcfce7bbd524f164a76191cfbf891be8d56016afce57533f6ea9f836d39072de","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2006-02-17T22:34:07Z","title_canon_sha256":"3e87e50eb13d48bd101b1f4df4f62662e77df1181fdbb823a855c8bd6b0dec2c"},"schema_version":"1.0","source":{"id":"hep-th/0602176","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0602176","created_at":"2026-07-04T15:19:57Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0602176v2","created_at":"2026-07-04T15:19:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0602176","created_at":"2026-07-04T15:19:57Z"},{"alias_kind":"pith_short_12","alias_value":"GPPOAQ6OSLQ2","created_at":"2026-07-04T15:19:57Z"},{"alias_kind":"pith_short_16","alias_value":"GPPOAQ6OSLQ263BY","created_at":"2026-07-04T15:19:57Z"},{"alias_kind":"pith_short_8","alias_value":"GPPOAQ6O","created_at":"2026-07-04T15:19:57Z"}],"graph_snapshots":[{"event_id":"sha256:a322e449fc26aac06c212f0f608d42d98360d569c9a9a790431990ec4bfd9728","target":"graph","created_at":"2026-07-04T15:19:57Z","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-th/0602176/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In a previous paper [1], it was shown that the worldline expression for the nonperturbative imaginary part of the QED effective action can be approximated by the contribution of a special closed classical path in Euclidean spacetime, known as a worldline instanton. Here we extend this formalism to compute also the prefactor arising from quantum fluctuations about this classical closed path. We present a direct numerical approach for determining this prefactor, and we find a simple explicit formula for the prefactor in the cases where the inhomogeneous electric field is a function of just one s","authors_text":"Christian Schubert, Gerald V. Dunne, Holger Gies, Qing-hai Wang","cross_cats":["hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2006-02-17T22:34:07Z","title":"Worldline Instantons II: The Fluctuation Prefactor"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0602176","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":"sha256:7815791320fc80f59ed758e3d81a0f01c1312f9d280e12e4a31d9be23368c09c","target":"record","created_at":"2026-07-04T15:19:57Z","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":"bcfce7bbd524f164a76191cfbf891be8d56016afce57533f6ea9f836d39072de","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2006-02-17T22:34:07Z","title_canon_sha256":"3e87e50eb13d48bd101b1f4df4f62662e77df1181fdbb823a855c8bd6b0dec2c"},"schema_version":"1.0","source":{"id":"hep-th/0602176","kind":"arxiv","version":2}},"canonical_sha256":"33dee043ce92e1af6c38388ce3475ec52ce7cffd1c74a31b7d6170ed72035abc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"33dee043ce92e1af6c38388ce3475ec52ce7cffd1c74a31b7d6170ed72035abc","first_computed_at":"2026-07-04T15:19:57.825580Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:19:57.825580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z59JsKsU7d7YIQIT6aeiDkg4EKi928A6kapMUjP68Nc0JF+4TihS9uegWEvzk7IcZ6a5zsQrgCm5eb5LdpROCw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:19:57.826041Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0602176","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7815791320fc80f59ed758e3d81a0f01c1312f9d280e12e4a31d9be23368c09c","sha256:a322e449fc26aac06c212f0f608d42d98360d569c9a9a790431990ec4bfd9728"],"state_sha256":"ef51a4d8d5186995beaf5a1917cce2c23455d9aa6b32c957ce81990013fbad6a"}