{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:I3VJLX3GZLZJ43DJ67VPOLDAXN","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":"746df976aae00ed0bb915ec41b7a4eb7c7c75780d833b633c8b3b5d38f0b596a","cross_cats_sorted":["hep-lat","hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"2001-02-15T10:44:53Z","title_canon_sha256":"fa41a1dbba824fbb2fc606fcaacf41f244b81b82269f106b1d21c2fc2092b266"},"schema_version":"1.0","source":{"id":"hep-ph/0102185","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0102185","created_at":"2026-07-04T16:27:14Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0102185v2","created_at":"2026-07-04T16:27:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0102185","created_at":"2026-07-04T16:27:14Z"},{"alias_kind":"pith_short_12","alias_value":"I3VJLX3GZLZJ","created_at":"2026-07-04T16:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"I3VJLX3GZLZJ43DJ","created_at":"2026-07-04T16:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"I3VJLX3G","created_at":"2026-07-04T16:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:64c513159f5408c55425e6deb8fbae74d8bf2c8af5b1016373790cf0c87193ae","target":"graph","created_at":"2026-07-04T16:27:14Z","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/0102185/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a numerical technique for calculating effective actions of electromagnetic backgrounds based on the worldline formalism. As a conceptually simple example, we consider scalar electrodynamics in three dimensions to one-loop order. Beyond the constant-magnetic-field case, serving as a benchmark test, we analyze the effective action of a step-function-like magnetic field -- a configuration that is inaccessible to derivative expansions. We observe magnetic-field diffusion, i.e., nonvanishing magnetic action density at space points near the magnetic step where the classical field vanishes","authors_text":"CERN), Holger Gies (Tubingen U., Kurt Langfeld (Tubingen U.)","cross_cats":["hep-lat","hep-th"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2001-02-15T10:44:53Z","title":"Quantum diffusion of magnetic fields in a numerical worldline approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0102185","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":"sha256:80966f823f70a5d3f18dc1548ac863892b97f58b8f8f6e5e4f8478ad3dafcb27","target":"record","created_at":"2026-07-04T16:27:14Z","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":"746df976aae00ed0bb915ec41b7a4eb7c7c75780d833b633c8b3b5d38f0b596a","cross_cats_sorted":["hep-lat","hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"2001-02-15T10:44:53Z","title_canon_sha256":"fa41a1dbba824fbb2fc606fcaacf41f244b81b82269f106b1d21c2fc2092b266"},"schema_version":"1.0","source":{"id":"hep-ph/0102185","kind":"arxiv","version":2}},"canonical_sha256":"46ea95df66caf29e6c69f7eaf72c60bb61f147e2e021e96a5998862a02079932","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46ea95df66caf29e6c69f7eaf72c60bb61f147e2e021e96a5998862a02079932","first_computed_at":"2026-07-04T16:27:14.421446Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:27:14.421446Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/mSZ6EUgovpBsUV97PbgnnACyuF1pF3u8hGSTWy+76DRbuvyBcZXzcPWMEgZs9lk8rV/IF9GBR5mWQ/Bv/AvCw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:27:14.421796Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0102185","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80966f823f70a5d3f18dc1548ac863892b97f58b8f8f6e5e4f8478ad3dafcb27","sha256:64c513159f5408c55425e6deb8fbae74d8bf2c8af5b1016373790cf0c87193ae"],"state_sha256":"4b9e4b2a7fc2dec35b58af6d51d4f8688245db0350cf7f232121db8e16a74613"}