{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:6LPPQKXI3CDSLGWEKMMD3SV3MM","short_pith_number":"pith:6LPPQKXI","schema_version":"1.0","canonical_sha256":"f2def82ae8d887259ac453183dcabb63076214e60bfeb4bce872723788ff5e92","source":{"kind":"arxiv","id":"1704.04147","version":1},"attestation_state":"computed","paper":{"title":"Particle Production in Strong Time-dependent Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.plasm-ph"],"primary_cat":"hep-ph","authors_text":"A. Panferov, D. B. Blaschke, L. Juchnowski, S. A. Smolyansky","submitted_at":"2017-03-28T15:00:55Z","abstract_excerpt":"In these lecture notes we give an introduction to the kinetic equation approach to pair production form the vacuum in strong, time-dependent external fields (dynamical Schwinger process). We first give a derivation of the kinetic equation with the source term for the case of fermions starting from the Dirac equation and for bosons from the Klein-Gordon equation. In a second part we discuss the application of the approach to the situation of external field pulses as single-sheeted functions of time (like the Sauter-pulse) and as multi- sheeted functions approximating the situation in the focal "},"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":"1704.04147","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-03-28T15:00:55Z","cross_cats_sorted":["physics.plasm-ph"],"title_canon_sha256":"a77f1e2f73e21da78deae4e9631502ad700b2f97173af1eae32c39096e27f6e2","abstract_canon_sha256":"b6c8f56d5187f5950fac4f088fcc568d0223da955bfcc70537e2570f1b6fb67e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:24.760450Z","signature_b64":"cxUU8Lk+9yxDA3ZnjYe47dxcqU5QcdAsvRSwiXbe/8Nx81NXc7uVa2hORKdcWrvQosnUytT3IkvGSPbAjoWgCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f2def82ae8d887259ac453183dcabb63076214e60bfeb4bce872723788ff5e92","last_reissued_at":"2026-05-18T00:46:24.759821Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:24.759821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Particle Production in Strong Time-dependent Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.plasm-ph"],"primary_cat":"hep-ph","authors_text":"A. Panferov, D. B. Blaschke, L. Juchnowski, S. A. Smolyansky","submitted_at":"2017-03-28T15:00:55Z","abstract_excerpt":"In these lecture notes we give an introduction to the kinetic equation approach to pair production form the vacuum in strong, time-dependent external fields (dynamical Schwinger process). We first give a derivation of the kinetic equation with the source term for the case of fermions starting from the Dirac equation and for bosons from the Klein-Gordon equation. In a second part we discuss the application of the approach to the situation of external field pulses as single-sheeted functions of time (like the Sauter-pulse) and as multi- sheeted functions approximating the situation in the focal "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.04147","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":""},"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":"1704.04147","created_at":"2026-05-18T00:46:24.759908+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.04147v1","created_at":"2026-05-18T00:46:24.759908+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.04147","created_at":"2026-05-18T00:46:24.759908+00:00"},{"alias_kind":"pith_short_12","alias_value":"6LPPQKXI3CDS","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_16","alias_value":"6LPPQKXI3CDSLGWE","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_8","alias_value":"6LPPQKXI","created_at":"2026-05-18T12:31:03.183658+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/6LPPQKXI3CDSLGWEKMMD3SV3MM","json":"https://pith.science/pith/6LPPQKXI3CDSLGWEKMMD3SV3MM.json","graph_json":"https://pith.science/api/pith-number/6LPPQKXI3CDSLGWEKMMD3SV3MM/graph.json","events_json":"https://pith.science/api/pith-number/6LPPQKXI3CDSLGWEKMMD3SV3MM/events.json","paper":"https://pith.science/paper/6LPPQKXI"},"agent_actions":{"view_html":"https://pith.science/pith/6LPPQKXI3CDSLGWEKMMD3SV3MM","download_json":"https://pith.science/pith/6LPPQKXI3CDSLGWEKMMD3SV3MM.json","view_paper":"https://pith.science/paper/6LPPQKXI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.04147&json=true","fetch_graph":"https://pith.science/api/pith-number/6LPPQKXI3CDSLGWEKMMD3SV3MM/graph.json","fetch_events":"https://pith.science/api/pith-number/6LPPQKXI3CDSLGWEKMMD3SV3MM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6LPPQKXI3CDSLGWEKMMD3SV3MM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6LPPQKXI3CDSLGWEKMMD3SV3MM/action/storage_attestation","attest_author":"https://pith.science/pith/6LPPQKXI3CDSLGWEKMMD3SV3MM/action/author_attestation","sign_citation":"https://pith.science/pith/6LPPQKXI3CDSLGWEKMMD3SV3MM/action/citation_signature","submit_replication":"https://pith.science/pith/6LPPQKXI3CDSLGWEKMMD3SV3MM/action/replication_record"}},"created_at":"2026-05-18T00:46:24.759908+00:00","updated_at":"2026-05-18T00:46:24.759908+00:00"}