{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:FKYA7FARVV3OQT7O7GJGSUHDYH","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":"cc6b314920d9daa29d3057fce87ab058d747508b7d9effd25988f109667f194a","cross_cats_sorted":["hep-ph","math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-10-30T05:12:16Z","title_canon_sha256":"ac8120937a4e8d21dae276a00519681eb3a376247739ef79be3b5c77c2111077"},"schema_version":"1.0","source":{"id":"2010.16080","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.16080","created_at":"2026-07-05T03:45:08Z"},{"alias_kind":"arxiv_version","alias_value":"2010.16080v3","created_at":"2026-07-05T03:45:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.16080","created_at":"2026-07-05T03:45:08Z"},{"alias_kind":"pith_short_12","alias_value":"FKYA7FARVV3O","created_at":"2026-07-05T03:45:08Z"},{"alias_kind":"pith_short_16","alias_value":"FKYA7FARVV3OQT7O","created_at":"2026-07-05T03:45:08Z"},{"alias_kind":"pith_short_8","alias_value":"FKYA7FAR","created_at":"2026-07-05T03:45:08Z"}],"graph_snapshots":[{"event_id":"sha256:365581174150d1bf26d8581baab3c32b2150e7dbaa13993d21416e874de149aa","target":"graph","created_at":"2026-07-05T03:45:08Z","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/2010.16080/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the vacuum pair production by a time-dependent strong electric field based on the exact WKB analysis. We identify the generic structure of a Stokes graph for systems with the vacuum pair production and show that the number of produced pairs is given by a product of connection matrices for Stokes segments connecting pairs of turning points. We derive an explicit formula for the number of produced pairs, assuming the semi-classical limit. The obtained formula can be understood as a generalization of the divergent asymptotic series method by Berry, and is consistent with other semi-class","authors_text":"Hidetoshi Taya, Muneto Nitta, Norisuke Sakai, Tatsuhiro Misumi, Toshiaki Fujimori","cross_cats":["hep-ph","math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-10-30T05:12:16Z","title":"Exact WKB analysis of the vacuum pair production by time-dependent electric fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.16080","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:bf10284ab30a6d825955887500d3478a47b85b547d02c5e7034983642bd335b9","target":"record","created_at":"2026-07-05T03:45:08Z","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":"cc6b314920d9daa29d3057fce87ab058d747508b7d9effd25988f109667f194a","cross_cats_sorted":["hep-ph","math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-10-30T05:12:16Z","title_canon_sha256":"ac8120937a4e8d21dae276a00519681eb3a376247739ef79be3b5c77c2111077"},"schema_version":"1.0","source":{"id":"2010.16080","kind":"arxiv","version":3}},"canonical_sha256":"2ab00f9411ad76e84feef9926950e3c1c89910bce4fc4d1a17299a5802ce114e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ab00f9411ad76e84feef9926950e3c1c89910bce4fc4d1a17299a5802ce114e","first_computed_at":"2026-07-05T03:45:08.171376Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:45:08.171376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gbGfHs2ls4BvC5hqJ/uCfQ5Fg/ScIYfgQCKL8wlh3SdjqdK85eW6S2dxxwyboXA0I3hNl7DkCgiyl2JQHr8iCw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:45:08.171829Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.16080","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf10284ab30a6d825955887500d3478a47b85b547d02c5e7034983642bd335b9","sha256:365581174150d1bf26d8581baab3c32b2150e7dbaa13993d21416e874de149aa"],"state_sha256":"48f608aa24606d3de3950688b2636c0823f3c017acb64b8e0e1a7bc984994272"}