{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:Y7FODQH6OFKI7ALJ4LYSVKE73D","short_pith_number":"pith:Y7FODQH6","canonical_record":{"source":{"id":"1406.1513","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-05T20:28:19Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"f5c5c3ac81bbce0d45afd412619847d3f0851bb062702537b6cdeaeb03c8e2ff","abstract_canon_sha256":"c5e7116363a281cc69d4078e5ba31218769bed5a5987e77622260cd60fee93ed"},"schema_version":"1.0"},"canonical_sha256":"c7cae1c0fe71548f8169e2f12aa89fd8d9590c8261e02a23f62d4bdd5225f79c","source":{"kind":"arxiv","id":"1406.1513","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.1513","created_at":"2026-05-18T01:11:38Z"},{"alias_kind":"arxiv_version","alias_value":"1406.1513v3","created_at":"2026-05-18T01:11:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1513","created_at":"2026-05-18T01:11:38Z"},{"alias_kind":"pith_short_12","alias_value":"Y7FODQH6OFKI","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"Y7FODQH6OFKI7ALJ","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"Y7FODQH6","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:Y7FODQH6OFKI7ALJ4LYSVKE73D","target":"record","payload":{"canonical_record":{"source":{"id":"1406.1513","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-05T20:28:19Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"f5c5c3ac81bbce0d45afd412619847d3f0851bb062702537b6cdeaeb03c8e2ff","abstract_canon_sha256":"c5e7116363a281cc69d4078e5ba31218769bed5a5987e77622260cd60fee93ed"},"schema_version":"1.0"},"canonical_sha256":"c7cae1c0fe71548f8169e2f12aa89fd8d9590c8261e02a23f62d4bdd5225f79c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:38.874083Z","signature_b64":"vVUzA5OJaPau0siZR3bM6Kd1sCgdELjh3HMUzTY71+PzsWvgXFAvC/0Fr1/wgs6RxQ0LGlVrkrfJythADTcMAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c7cae1c0fe71548f8169e2f12aa89fd8d9590c8261e02a23f62d4bdd5225f79c","last_reissued_at":"2026-05-18T01:11:38.873731Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:38.873731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.1513","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qDDAKKI4/MVSP/uNPsTYquOoeKGRRYQmpLxQ6YHGns7WwKDNiTHJx6RhgIMZebFSIxj3CrVvLJTZiZ4qvCSGCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:37:33.012673Z"},"content_sha256":"73a2bfcb002ad5383c9427fe52272c9b28fd71239fc488a91b6989df23202f78","schema_version":"1.0","event_id":"sha256:73a2bfcb002ad5383c9427fe52272c9b28fd71239fc488a91b6989df23202f78"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:Y7FODQH6OFKI7ALJ4LYSVKE73D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Localisation in worldline pair production and lightfront zero-modes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Anton Ilderton","submitted_at":"2014-06-05T20:28:19Z","abstract_excerpt":"The nonperturbative probability of pair production in electric fields depending on lightfront time is given exactly by the locally constant approximation. We explain this by showing that the worldline path integral defining the effective action contains a constraint, which localises contributing paths on hypersurfaces of constant lightfront time. These paths are lightfront zero-modes and there can be no pair production without them; the effective action vanishes if they are projected out."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1513","kind":"arxiv","version":3},"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":"2026-05-18T01:11:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9Slj4TaG77UBjh8x3E10X0LLwe3yVYeJPWjQgFDK6b0T2axF/NPum0AfNDaspFFNKfRJjqA7TRFXzYH/N5aEAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:37:33.013301Z"},"content_sha256":"f5cc5d3279f559817dcc48e08610d21525f444541b8fe20d7f471ca14e0e0788","schema_version":"1.0","event_id":"sha256:f5cc5d3279f559817dcc48e08610d21525f444541b8fe20d7f471ca14e0e0788"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y7FODQH6OFKI7ALJ4LYSVKE73D/bundle.json","state_url":"https://pith.science/pith/Y7FODQH6OFKI7ALJ4LYSVKE73D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y7FODQH6OFKI7ALJ4LYSVKE73D/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":"2026-05-26T00:37:33Z","links":{"resolver":"https://pith.science/pith/Y7FODQH6OFKI7ALJ4LYSVKE73D","bundle":"https://pith.science/pith/Y7FODQH6OFKI7ALJ4LYSVKE73D/bundle.json","state":"https://pith.science/pith/Y7FODQH6OFKI7ALJ4LYSVKE73D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y7FODQH6OFKI7ALJ4LYSVKE73D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:Y7FODQH6OFKI7ALJ4LYSVKE73D","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":"c5e7116363a281cc69d4078e5ba31218769bed5a5987e77622260cd60fee93ed","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-05T20:28:19Z","title_canon_sha256":"f5c5c3ac81bbce0d45afd412619847d3f0851bb062702537b6cdeaeb03c8e2ff"},"schema_version":"1.0","source":{"id":"1406.1513","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.1513","created_at":"2026-05-18T01:11:38Z"},{"alias_kind":"arxiv_version","alias_value":"1406.1513v3","created_at":"2026-05-18T01:11:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1513","created_at":"2026-05-18T01:11:38Z"},{"alias_kind":"pith_short_12","alias_value":"Y7FODQH6OFKI","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"Y7FODQH6OFKI7ALJ","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"Y7FODQH6","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:f5cc5d3279f559817dcc48e08610d21525f444541b8fe20d7f471ca14e0e0788","target":"graph","created_at":"2026-05-18T01:11:38Z","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":"The nonperturbative probability of pair production in electric fields depending on lightfront time is given exactly by the locally constant approximation. We explain this by showing that the worldline path integral defining the effective action contains a constraint, which localises contributing paths on hypersurfaces of constant lightfront time. These paths are lightfront zero-modes and there can be no pair production without them; the effective action vanishes if they are projected out.","authors_text":"Anton Ilderton","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-05T20:28:19Z","title":"Localisation in worldline pair production and lightfront zero-modes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1513","kind":"arxiv","version":3},"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":"sha256:73a2bfcb002ad5383c9427fe52272c9b28fd71239fc488a91b6989df23202f78","target":"record","created_at":"2026-05-18T01:11:38Z","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":"c5e7116363a281cc69d4078e5ba31218769bed5a5987e77622260cd60fee93ed","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-05T20:28:19Z","title_canon_sha256":"f5c5c3ac81bbce0d45afd412619847d3f0851bb062702537b6cdeaeb03c8e2ff"},"schema_version":"1.0","source":{"id":"1406.1513","kind":"arxiv","version":3}},"canonical_sha256":"c7cae1c0fe71548f8169e2f12aa89fd8d9590c8261e02a23f62d4bdd5225f79c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7cae1c0fe71548f8169e2f12aa89fd8d9590c8261e02a23f62d4bdd5225f79c","first_computed_at":"2026-05-18T01:11:38.873731Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:38.873731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vVUzA5OJaPau0siZR3bM6Kd1sCgdELjh3HMUzTY71+PzsWvgXFAvC/0Fr1/wgs6RxQ0LGlVrkrfJythADTcMAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:38.874083Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.1513","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:73a2bfcb002ad5383c9427fe52272c9b28fd71239fc488a91b6989df23202f78","sha256:f5cc5d3279f559817dcc48e08610d21525f444541b8fe20d7f471ca14e0e0788"],"state_sha256":"b3b9c40b5352c8ac7fd2bcbc6528e6ecbe02e8ee188da32c7d05c5c870eeb46a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2ACrgH3BfV669uSu49umN0EjFtmFe5eRyJXO/f1JBKzAkS6ByJ9bJyd/HgyZ994Y+XFgFgDeCnRDMUjTAXdlAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T00:37:33.016759Z","bundle_sha256":"8f5f3ee3a00b70fc27180e886777f20d6b37e06b8542b4b6206d4c54c7f24c49"}}