{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:2NS2ANTVXKEOK4EXLSP2V5D4YK","short_pith_number":"pith:2NS2ANTV","canonical_record":{"source":{"id":"1503.08828","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-30T20:00:24Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"6bead7cdcdaa7da07ab03ee233aa516b840a18ed73818940056dbe79e77d3c1f","abstract_canon_sha256":"a664e446a440412f7666df4f2c7a586ccb9e887228b3185cc2d2880ccbcc7221"},"schema_version":"1.0"},"canonical_sha256":"d365a03675ba88e570975c9faaf47cc2b3c6752c6b80f2665c6bb8e743e935b3","source":{"kind":"arxiv","id":"1503.08828","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.08828","created_at":"2026-05-18T01:37:10Z"},{"alias_kind":"arxiv_version","alias_value":"1503.08828v2","created_at":"2026-05-18T01:37:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.08828","created_at":"2026-05-18T01:37:10Z"},{"alias_kind":"pith_short_12","alias_value":"2NS2ANTVXKEO","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"2NS2ANTVXKEOK4EX","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"2NS2ANTV","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:2NS2ANTVXKEOK4EXLSP2V5D4YK","target":"record","payload":{"canonical_record":{"source":{"id":"1503.08828","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-30T20:00:24Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"6bead7cdcdaa7da07ab03ee233aa516b840a18ed73818940056dbe79e77d3c1f","abstract_canon_sha256":"a664e446a440412f7666df4f2c7a586ccb9e887228b3185cc2d2880ccbcc7221"},"schema_version":"1.0"},"canonical_sha256":"d365a03675ba88e570975c9faaf47cc2b3c6752c6b80f2665c6bb8e743e935b3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:10.955660Z","signature_b64":"T7gaBeULKxfhxthrQFEIdMeeD0GyZoaHS0aHI93gSBo/1zo70XhxMW2xn6q4qlxjmZqboMOlMph8iPGNXXWfDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d365a03675ba88e570975c9faaf47cc2b3c6752c6b80f2665c6bb8e743e935b3","last_reissued_at":"2026-05-18T01:37:10.955126Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:10.955126Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.08828","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:37:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x4BgqgsN2bNtmfgpPQ6GL3Ld9Rhzs2zvVqQFkb1XZKAuWJMo0eWdqwk/UCY1SggW9TKf+kkALAyLDKGWtm+vCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:43:02.063715Z"},"content_sha256":"804a198bfbf73c46d6265965557d520cecdf29f59f1282d3acb05bc36e61d6c3","schema_version":"1.0","event_id":"sha256:804a198bfbf73c46d6265965557d520cecdf29f59f1282d3acb05bc36e61d6c3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:2NS2ANTVXKEOK4EXLSP2V5D4YK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pair production from residues of complex worldline instantons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Anton Ilderton, Greger Torgrimsson, Jonatan W{\\aa}rdh","submitted_at":"2015-03-30T20:00:24Z","abstract_excerpt":"We study nonperturbative pair production in electric fields with lightlike inhomogeneities, using complex worldline instantons. We show that the instanton contribution to the pair production probability is a complex contour integral over the instanton itself, and that pair production in the considered fields can be recast in terms of Cauchy's residue theorem. The instantons contribute residues from the poles they circulate (i.e. give local contributions), and the invariance of complex integrals under contour deformation manifests in the instanton contributions as invariance under a set of gene"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.08828","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:37:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SRTey1yfDFZhTfs/NHPY4e7iLe+1g041UlRy17DSyFRjgcWDiVkY3M37RN9cjQljJKqh2t5Xd4xi7fGOMztSAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:43:02.064399Z"},"content_sha256":"336f4560d44fa61498716a25bc2f4606dcc2133b86232ce21943458b1f0f1416","schema_version":"1.0","event_id":"sha256:336f4560d44fa61498716a25bc2f4606dcc2133b86232ce21943458b1f0f1416"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2NS2ANTVXKEOK4EXLSP2V5D4YK/bundle.json","state_url":"https://pith.science/pith/2NS2ANTVXKEOK4EXLSP2V5D4YK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2NS2ANTVXKEOK4EXLSP2V5D4YK/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-25T16:43:02Z","links":{"resolver":"https://pith.science/pith/2NS2ANTVXKEOK4EXLSP2V5D4YK","bundle":"https://pith.science/pith/2NS2ANTVXKEOK4EXLSP2V5D4YK/bundle.json","state":"https://pith.science/pith/2NS2ANTVXKEOK4EXLSP2V5D4YK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2NS2ANTVXKEOK4EXLSP2V5D4YK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2NS2ANTVXKEOK4EXLSP2V5D4YK","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":"a664e446a440412f7666df4f2c7a586ccb9e887228b3185cc2d2880ccbcc7221","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-30T20:00:24Z","title_canon_sha256":"6bead7cdcdaa7da07ab03ee233aa516b840a18ed73818940056dbe79e77d3c1f"},"schema_version":"1.0","source":{"id":"1503.08828","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.08828","created_at":"2026-05-18T01:37:10Z"},{"alias_kind":"arxiv_version","alias_value":"1503.08828v2","created_at":"2026-05-18T01:37:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.08828","created_at":"2026-05-18T01:37:10Z"},{"alias_kind":"pith_short_12","alias_value":"2NS2ANTVXKEO","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"2NS2ANTVXKEOK4EX","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"2NS2ANTV","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:336f4560d44fa61498716a25bc2f4606dcc2133b86232ce21943458b1f0f1416","target":"graph","created_at":"2026-05-18T01:37:10Z","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":"We study nonperturbative pair production in electric fields with lightlike inhomogeneities, using complex worldline instantons. We show that the instanton contribution to the pair production probability is a complex contour integral over the instanton itself, and that pair production in the considered fields can be recast in terms of Cauchy's residue theorem. The instantons contribute residues from the poles they circulate (i.e. give local contributions), and the invariance of complex integrals under contour deformation manifests in the instanton contributions as invariance under a set of gene","authors_text":"Anton Ilderton, Greger Torgrimsson, Jonatan W{\\aa}rdh","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-30T20:00:24Z","title":"Pair production from residues of complex worldline instantons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.08828","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":"sha256:804a198bfbf73c46d6265965557d520cecdf29f59f1282d3acb05bc36e61d6c3","target":"record","created_at":"2026-05-18T01:37:10Z","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":"a664e446a440412f7666df4f2c7a586ccb9e887228b3185cc2d2880ccbcc7221","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-30T20:00:24Z","title_canon_sha256":"6bead7cdcdaa7da07ab03ee233aa516b840a18ed73818940056dbe79e77d3c1f"},"schema_version":"1.0","source":{"id":"1503.08828","kind":"arxiv","version":2}},"canonical_sha256":"d365a03675ba88e570975c9faaf47cc2b3c6752c6b80f2665c6bb8e743e935b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d365a03675ba88e570975c9faaf47cc2b3c6752c6b80f2665c6bb8e743e935b3","first_computed_at":"2026-05-18T01:37:10.955126Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:10.955126Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T7gaBeULKxfhxthrQFEIdMeeD0GyZoaHS0aHI93gSBo/1zo70XhxMW2xn6q4qlxjmZqboMOlMph8iPGNXXWfDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:10.955660Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.08828","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:804a198bfbf73c46d6265965557d520cecdf29f59f1282d3acb05bc36e61d6c3","sha256:336f4560d44fa61498716a25bc2f4606dcc2133b86232ce21943458b1f0f1416"],"state_sha256":"99a11ba729c5768534fe5b4acb0c8e58e1df5e1850772c96a8aa76e9a6481edc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f9pxAMws8byMdlM1q/tvUUDZjkSi4K480tC8H6Zcpn8tcGsaFlXVWGD8nVBjg3uDzBc9JdSQf/D8o5wGvDh2CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T16:43:02.068256Z","bundle_sha256":"fdb2bc5905b911928feaf82775e9717459dde14e9e361da016383bbaf64b1fc8"}}