{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:3VJXVSWMS7OGUYA3HQLWMUALVN","short_pith_number":"pith:3VJXVSWM","schema_version":"1.0","canonical_sha256":"dd537acacc97dc6a601b3c1766500bab7acf7bd0a10093c9c974965e41ddb78d","source":{"kind":"arxiv","id":"1703.08017","version":2},"attestation_state":"computed","paper":{"title":"The Heisenberg-Euler effective action in slowly varying electric field inhomogeneities of Lorentzian shape","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Felix Karbstein","submitted_at":"2017-03-23T11:38:59Z","abstract_excerpt":"We use a locally constant field approximation (LCFA) to study the one-loop Heisenberg-Euler effective action in a particular class of slowly varying inhomogeneous electric fields of Lorentzian shape with $0\\leq d\\leq 4$ inhomogeneous directions. We show that for these fields, the LCFA of the Heisenberg-Euler effective action can be represented in terms of a single parameter integral, with the constant field effective Lagrangian with rescaled argument as integration kernel. The imaginary part of the Heisenberg-Euler effective action contains information about the instability of the quantum vacu"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1703.08017","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-03-23T11:38:59Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"2afb9ea28b1b827db06a6c5d802ae3a9de9ccc6a579809b4765bb15430784272","abstract_canon_sha256":"f1b73529d3eb1f820e37163c5af1fe61ed89c5ab8400993f8180499be06be395"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:58.163686Z","signature_b64":"3/Y6mdUo7GqQWzXpSeppzs0RwpV2Tkn2Yexqovbf1N/zq9/p/qnpL4icuo5htxuEnIihSOZ4FDCFrHn/kYAmDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd537acacc97dc6a601b3c1766500bab7acf7bd0a10093c9c974965e41ddb78d","last_reissued_at":"2026-05-18T00:45:58.163114Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:58.163114Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Heisenberg-Euler effective action in slowly varying electric field inhomogeneities of Lorentzian shape","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Felix Karbstein","submitted_at":"2017-03-23T11:38:59Z","abstract_excerpt":"We use a locally constant field approximation (LCFA) to study the one-loop Heisenberg-Euler effective action in a particular class of slowly varying inhomogeneous electric fields of Lorentzian shape with $0\\leq d\\leq 4$ inhomogeneous directions. We show that for these fields, the LCFA of the Heisenberg-Euler effective action can be represented in terms of a single parameter integral, with the constant field effective Lagrangian with rescaled argument as integration kernel. The imaginary part of the Heisenberg-Euler effective action contains information about the instability of the quantum vacu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.08017","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1703.08017","created_at":"2026-05-18T00:45:58.163189+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.08017v2","created_at":"2026-05-18T00:45:58.163189+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.08017","created_at":"2026-05-18T00:45:58.163189+00:00"},{"alias_kind":"pith_short_12","alias_value":"3VJXVSWMS7OG","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_16","alias_value":"3VJXVSWMS7OGUYA3","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_8","alias_value":"3VJXVSWM","created_at":"2026-05-18T12:30:58.224056+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3VJXVSWMS7OGUYA3HQLWMUALVN","json":"https://pith.science/pith/3VJXVSWMS7OGUYA3HQLWMUALVN.json","graph_json":"https://pith.science/api/pith-number/3VJXVSWMS7OGUYA3HQLWMUALVN/graph.json","events_json":"https://pith.science/api/pith-number/3VJXVSWMS7OGUYA3HQLWMUALVN/events.json","paper":"https://pith.science/paper/3VJXVSWM"},"agent_actions":{"view_html":"https://pith.science/pith/3VJXVSWMS7OGUYA3HQLWMUALVN","download_json":"https://pith.science/pith/3VJXVSWMS7OGUYA3HQLWMUALVN.json","view_paper":"https://pith.science/paper/3VJXVSWM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.08017&json=true","fetch_graph":"https://pith.science/api/pith-number/3VJXVSWMS7OGUYA3HQLWMUALVN/graph.json","fetch_events":"https://pith.science/api/pith-number/3VJXVSWMS7OGUYA3HQLWMUALVN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3VJXVSWMS7OGUYA3HQLWMUALVN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3VJXVSWMS7OGUYA3HQLWMUALVN/action/storage_attestation","attest_author":"https://pith.science/pith/3VJXVSWMS7OGUYA3HQLWMUALVN/action/author_attestation","sign_citation":"https://pith.science/pith/3VJXVSWMS7OGUYA3HQLWMUALVN/action/citation_signature","submit_replication":"https://pith.science/pith/3VJXVSWMS7OGUYA3HQLWMUALVN/action/replication_record"}},"created_at":"2026-05-18T00:45:58.163189+00:00","updated_at":"2026-05-18T00:45:58.163189+00:00"}