{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:CTPYU4LO5W7NWZPNB3BDVKNZDJ","short_pith_number":"pith:CTPYU4LO","schema_version":"1.0","canonical_sha256":"14df8a716eedbedb65ed0ec23aa9b91a5bee11335b3acf25cbe1db88c49ba212","source":{"kind":"arxiv","id":"1402.1638","version":2},"attestation_state":"computed","paper":{"title":"On Schwinger's formula for pair production","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Walter Dittrich","submitted_at":"2014-02-07T13:50:44Z","abstract_excerpt":"We present some comments on Schwinger's calculation of electron-positron production in a prescribed constant electric field. The range of validity of 2 Im \\mathcal{L}^(1)(E) is discussed thoroughly and limiting cases are provided."},"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":"1402.1638","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-02-07T13:50:44Z","cross_cats_sorted":[],"title_canon_sha256":"ed1e5a85e8047b88b86a0b97769d7d2abcde32484ec64189ab4c145471e138fe","abstract_canon_sha256":"bc9a861a1cfa77aca26e74f84132776058ef028c1bd00af554d2261e0307fe17"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:44:46.451254Z","signature_b64":"1LpiJ2WyCCj1Ga68yf4ct4EDf4TNF3ERkURnVTmCpUnlEtlnCid39f7ZXglpAwQ/+qDO3C16F0l8CpPCPYgKBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"14df8a716eedbedb65ed0ec23aa9b91a5bee11335b3acf25cbe1db88c49ba212","last_reissued_at":"2026-05-18T01:44:46.450692Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:44:46.450692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Schwinger's formula for pair production","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Walter Dittrich","submitted_at":"2014-02-07T13:50:44Z","abstract_excerpt":"We present some comments on Schwinger's calculation of electron-positron production in a prescribed constant electric field. The range of validity of 2 Im \\mathcal{L}^(1)(E) is discussed thoroughly and limiting cases are provided."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1638","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":"1402.1638","created_at":"2026-05-18T01:44:46.450767+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.1638v2","created_at":"2026-05-18T01:44:46.450767+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1638","created_at":"2026-05-18T01:44:46.450767+00:00"},{"alias_kind":"pith_short_12","alias_value":"CTPYU4LO5W7N","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_16","alias_value":"CTPYU4LO5W7NWZPN","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_8","alias_value":"CTPYU4LO","created_at":"2026-05-18T12:28:22.404517+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/CTPYU4LO5W7NWZPNB3BDVKNZDJ","json":"https://pith.science/pith/CTPYU4LO5W7NWZPNB3BDVKNZDJ.json","graph_json":"https://pith.science/api/pith-number/CTPYU4LO5W7NWZPNB3BDVKNZDJ/graph.json","events_json":"https://pith.science/api/pith-number/CTPYU4LO5W7NWZPNB3BDVKNZDJ/events.json","paper":"https://pith.science/paper/CTPYU4LO"},"agent_actions":{"view_html":"https://pith.science/pith/CTPYU4LO5W7NWZPNB3BDVKNZDJ","download_json":"https://pith.science/pith/CTPYU4LO5W7NWZPNB3BDVKNZDJ.json","view_paper":"https://pith.science/paper/CTPYU4LO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.1638&json=true","fetch_graph":"https://pith.science/api/pith-number/CTPYU4LO5W7NWZPNB3BDVKNZDJ/graph.json","fetch_events":"https://pith.science/api/pith-number/CTPYU4LO5W7NWZPNB3BDVKNZDJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CTPYU4LO5W7NWZPNB3BDVKNZDJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CTPYU4LO5W7NWZPNB3BDVKNZDJ/action/storage_attestation","attest_author":"https://pith.science/pith/CTPYU4LO5W7NWZPNB3BDVKNZDJ/action/author_attestation","sign_citation":"https://pith.science/pith/CTPYU4LO5W7NWZPNB3BDVKNZDJ/action/citation_signature","submit_replication":"https://pith.science/pith/CTPYU4LO5W7NWZPNB3BDVKNZDJ/action/replication_record"}},"created_at":"2026-05-18T01:44:46.450767+00:00","updated_at":"2026-05-18T01:44:46.450767+00:00"}