{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:NS4KZWVUIFIU67NEIX3V7CBHJN","short_pith_number":"pith:NS4KZWVU","canonical_record":{"source":{"id":"2012.10751","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2020-12-19T18:16:26Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"acd880288400b373aa33dfaf9d534c8c7a9b08ee9924432d79482474751a8741","abstract_canon_sha256":"ab6092b535a5351a93b5b2ebf3741c347bcf46c48a8a75f60b39c0f178bda721"},"schema_version":"1.0"},"canonical_sha256":"6cb8acdab441514f7da445f75f88274b7b3a81631fefb575568cd92022d910e7","source":{"kind":"arxiv","id":"2012.10751","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.10751","created_at":"2026-07-05T03:25:49Z"},{"alias_kind":"arxiv_version","alias_value":"2012.10751v1","created_at":"2026-07-05T03:25:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.10751","created_at":"2026-07-05T03:25:49Z"},{"alias_kind":"pith_short_12","alias_value":"NS4KZWVUIFIU","created_at":"2026-07-05T03:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"NS4KZWVUIFIU67NE","created_at":"2026-07-05T03:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"NS4KZWVU","created_at":"2026-07-05T03:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:NS4KZWVUIFIU67NEIX3V7CBHJN","target":"record","payload":{"canonical_record":{"source":{"id":"2012.10751","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2020-12-19T18:16:26Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"acd880288400b373aa33dfaf9d534c8c7a9b08ee9924432d79482474751a8741","abstract_canon_sha256":"ab6092b535a5351a93b5b2ebf3741c347bcf46c48a8a75f60b39c0f178bda721"},"schema_version":"1.0"},"canonical_sha256":"6cb8acdab441514f7da445f75f88274b7b3a81631fefb575568cd92022d910e7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:25:49.506859Z","signature_b64":"I6yvKmSLvSPSCcxAYSkTUbSykqYKGiOBQdomzAQpbnOzseX1WHEvymBBPgUdH3ES8VxAUVDsCGQWhpXIrzV5Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6cb8acdab441514f7da445f75f88274b7b3a81631fefb575568cd92022d910e7","last_reissued_at":"2026-07-05T03:25:49.506403Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:25:49.506403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2012.10751","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:25:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tc+a2ipiR7MYw4U5OwEFDezUbHvQZHr/GlvftCaJ/vteoyo2qiT9j8gfZvfcZkYC1jyhjPWGSm4lsnOOzUejAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T00:42:13.828583Z"},"content_sha256":"ecbf6cca83907b3feb3e50f605422f6dc7dc851cf874f200e7e2f21992338594","schema_version":"1.0","event_id":"sha256:ecbf6cca83907b3feb3e50f605422f6dc7dc851cf874f200e7e2f21992338594"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:NS4KZWVUIFIU67NEIX3V7CBHJN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Total yield of electron-positron pairs produced from vacuum in strong electromagnetic fields: validity of the locally constant field approximation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"D. G. Sevostyanov, G. Plunien, I. A. Aleksandrov, V. M. Shabaev","submitted_at":"2020-12-19T18:16:26Z","abstract_excerpt":"The widely-used locally constant field approximation (LCFA) can be utilized in order to derive a simple closed-form expression for the total number of particles produced in the presence of a strong electromagnetic field of a general spatio-temporal configuration. A usual justification for this approximate approach is the requirement that the external field vary slowly in space and time. In this investigation, we examine the validity of the LCFA by comparing its predictions to the results obtained by means of exact nonperturbative numerical techniques. To benchmark the LCFA in the regime of sma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.10751","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2012.10751/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T03:25:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MbPJmo6ZCqtvn0KUadSQGAV0hvR9J8xesqXqlcFycwMRWjbA6heYn9UjVwLqG6IPl6WGjQSvKD2p6JIj/8eaDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T00:42:13.829138Z"},"content_sha256":"e418f4199673f8a73fba4fc2ddf007838ef4bd2b2b9b6172a3a3a6c64b95b657","schema_version":"1.0","event_id":"sha256:e418f4199673f8a73fba4fc2ddf007838ef4bd2b2b9b6172a3a3a6c64b95b657"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NS4KZWVUIFIU67NEIX3V7CBHJN/bundle.json","state_url":"https://pith.science/pith/NS4KZWVUIFIU67NEIX3V7CBHJN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NS4KZWVUIFIU67NEIX3V7CBHJN/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":"2026-08-11T00:42:13Z","links":{"resolver":"https://pith.science/pith/NS4KZWVUIFIU67NEIX3V7CBHJN","bundle":"https://pith.science/pith/NS4KZWVUIFIU67NEIX3V7CBHJN/bundle.json","state":"https://pith.science/pith/NS4KZWVUIFIU67NEIX3V7CBHJN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NS4KZWVUIFIU67NEIX3V7CBHJN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:NS4KZWVUIFIU67NEIX3V7CBHJN","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":"ab6092b535a5351a93b5b2ebf3741c347bcf46c48a8a75f60b39c0f178bda721","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2020-12-19T18:16:26Z","title_canon_sha256":"acd880288400b373aa33dfaf9d534c8c7a9b08ee9924432d79482474751a8741"},"schema_version":"1.0","source":{"id":"2012.10751","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.10751","created_at":"2026-07-05T03:25:49Z"},{"alias_kind":"arxiv_version","alias_value":"2012.10751v1","created_at":"2026-07-05T03:25:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.10751","created_at":"2026-07-05T03:25:49Z"},{"alias_kind":"pith_short_12","alias_value":"NS4KZWVUIFIU","created_at":"2026-07-05T03:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"NS4KZWVUIFIU67NE","created_at":"2026-07-05T03:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"NS4KZWVU","created_at":"2026-07-05T03:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:e418f4199673f8a73fba4fc2ddf007838ef4bd2b2b9b6172a3a3a6c64b95b657","target":"graph","created_at":"2026-07-05T03:25:49Z","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/2012.10751/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The widely-used locally constant field approximation (LCFA) can be utilized in order to derive a simple closed-form expression for the total number of particles produced in the presence of a strong electromagnetic field of a general spatio-temporal configuration. A usual justification for this approximate approach is the requirement that the external field vary slowly in space and time. In this investigation, we examine the validity of the LCFA by comparing its predictions to the results obtained by means of exact nonperturbative numerical techniques. To benchmark the LCFA in the regime of sma","authors_text":"D. G. Sevostyanov, G. Plunien, I. A. Aleksandrov, V. M. Shabaev","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2020-12-19T18:16:26Z","title":"Total yield of electron-positron pairs produced from vacuum in strong electromagnetic fields: validity of the locally constant field approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.10751","kind":"arxiv","version":1},"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:ecbf6cca83907b3feb3e50f605422f6dc7dc851cf874f200e7e2f21992338594","target":"record","created_at":"2026-07-05T03:25:49Z","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":"ab6092b535a5351a93b5b2ebf3741c347bcf46c48a8a75f60b39c0f178bda721","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2020-12-19T18:16:26Z","title_canon_sha256":"acd880288400b373aa33dfaf9d534c8c7a9b08ee9924432d79482474751a8741"},"schema_version":"1.0","source":{"id":"2012.10751","kind":"arxiv","version":1}},"canonical_sha256":"6cb8acdab441514f7da445f75f88274b7b3a81631fefb575568cd92022d910e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6cb8acdab441514f7da445f75f88274b7b3a81631fefb575568cd92022d910e7","first_computed_at":"2026-07-05T03:25:49.506403Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:25:49.506403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I6yvKmSLvSPSCcxAYSkTUbSykqYKGiOBQdomzAQpbnOzseX1WHEvymBBPgUdH3ES8VxAUVDsCGQWhpXIrzV5Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:25:49.506859Z","signed_message":"canonical_sha256_bytes"},"source_id":"2012.10751","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ecbf6cca83907b3feb3e50f605422f6dc7dc851cf874f200e7e2f21992338594","sha256:e418f4199673f8a73fba4fc2ddf007838ef4bd2b2b9b6172a3a3a6c64b95b657"],"state_sha256":"472d73e0295feb7fca12cd0d05f9a8572d84e2cad4f7f93fb4a8e137025852e4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cf6sPsTksE9hiTRGjeRb00Msvp0gPQ469pz3SQuUfGXavYIfEsWQbIwrPjrHrTPmxGoGN3vNB6CcLDGXY8u+DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T00:42:13.833544Z","bundle_sha256":"2291443e17881b015ed00a6e1582f47596ce04d8118ca7a0c86b876a54fdba5c"}}