{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:JD6UJZDLACQMAWL2JQYQSAOU3M","short_pith_number":"pith:JD6UJZDL","canonical_record":{"source":{"id":"0912.5250","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-12-29T04:10:59Z","cross_cats_sorted":[],"title_canon_sha256":"1edb3cda387bc092ece7294cdf26e7f9fe16a823bcb9b0bae92bb8425f404a54","abstract_canon_sha256":"22ccf91eb95609d39c0d1bf79bd4c1144e71d0ea3671c4ee4d44ecdfb27f11c9"},"schema_version":"1.0"},"canonical_sha256":"48fd44e46b00a0c0597a4c310901d4db1fbebdc2183f431d91a9213d64db96b1","source":{"kind":"arxiv","id":"0912.5250","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.5250","created_at":"2026-05-18T02:33:55Z"},{"alias_kind":"arxiv_version","alias_value":"0912.5250v1","created_at":"2026-05-18T02:33:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.5250","created_at":"2026-05-18T02:33:55Z"},{"alias_kind":"pith_short_12","alias_value":"JD6UJZDLACQM","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"JD6UJZDLACQMAWL2","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"JD6UJZDL","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:JD6UJZDLACQMAWL2JQYQSAOU3M","target":"record","payload":{"canonical_record":{"source":{"id":"0912.5250","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-12-29T04:10:59Z","cross_cats_sorted":[],"title_canon_sha256":"1edb3cda387bc092ece7294cdf26e7f9fe16a823bcb9b0bae92bb8425f404a54","abstract_canon_sha256":"22ccf91eb95609d39c0d1bf79bd4c1144e71d0ea3671c4ee4d44ecdfb27f11c9"},"schema_version":"1.0"},"canonical_sha256":"48fd44e46b00a0c0597a4c310901d4db1fbebdc2183f431d91a9213d64db96b1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:55.218272Z","signature_b64":"onax3Lx/l7HH0igUz7/2eQTbeLjfd8ikQVJmOaDtF36txq7TUVsCf0cNPb4VmOluvKatPz9NyTjFrWJHoMUdAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48fd44e46b00a0c0597a4c310901d4db1fbebdc2183f431d91a9213d64db96b1","last_reissued_at":"2026-05-18T02:33:55.217759Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:55.217759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0912.5250","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":"2026-05-18T02:33:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CD1j2z7qY7wHcRhCp/CL0D5zpZhhjAYKh/l2cA7QAS8XF5EqLG06mvUUcDCYAoCoEZSdk7vLNCw29RZqz9IhBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T14:23:38.144035Z"},"content_sha256":"ee0b93aec10ba9724d82fa202a080757e3feb91d1af0028252469bbdeff06e29","schema_version":"1.0","event_id":"sha256:ee0b93aec10ba9724d82fa202a080757e3feb91d1af0028252469bbdeff06e29"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:JD6UJZDLACQMAWL2JQYQSAOU3M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pair creation by a photon in an electric field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"V. M. Katkov, V. N. Baier","submitted_at":"2009-12-29T04:10:59Z","abstract_excerpt":"The process of pair creation by a photon in a constant and homogeneous electric field is investigated basing on the polarization operator in the field. The total probability of the process is found in a relatively simple form. At high energy the quasiclassical approximation is valid. The corrections to the standard quasiclassical approximation (SQA) are calculated. In the region relatively low photon energies, where SQA is unapplicable, the new approximation is used. It is shown that in this energy interval the probability of pair creation by a photon in electric field exceeds essentially the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.5250","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:33:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5Wi75P1LWnI0Gi1JmzoorFigDxU4BMOQDRViFQFNvCUBZU2vGXph6TIDYHKAMCangSVN8Y5uh1w6B4tfWe6ODg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T14:23:38.144538Z"},"content_sha256":"75a2d17bdaf06fcfd73d1329801d8c55eeb8435d6fc430bcca9d1e0a15da337d","schema_version":"1.0","event_id":"sha256:75a2d17bdaf06fcfd73d1329801d8c55eeb8435d6fc430bcca9d1e0a15da337d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JD6UJZDLACQMAWL2JQYQSAOU3M/bundle.json","state_url":"https://pith.science/pith/JD6UJZDLACQMAWL2JQYQSAOU3M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JD6UJZDLACQMAWL2JQYQSAOU3M/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":"2026-05-26T14:23:38Z","links":{"resolver":"https://pith.science/pith/JD6UJZDLACQMAWL2JQYQSAOU3M","bundle":"https://pith.science/pith/JD6UJZDLACQMAWL2JQYQSAOU3M/bundle.json","state":"https://pith.science/pith/JD6UJZDLACQMAWL2JQYQSAOU3M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JD6UJZDLACQMAWL2JQYQSAOU3M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:JD6UJZDLACQMAWL2JQYQSAOU3M","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":"22ccf91eb95609d39c0d1bf79bd4c1144e71d0ea3671c4ee4d44ecdfb27f11c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-12-29T04:10:59Z","title_canon_sha256":"1edb3cda387bc092ece7294cdf26e7f9fe16a823bcb9b0bae92bb8425f404a54"},"schema_version":"1.0","source":{"id":"0912.5250","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.5250","created_at":"2026-05-18T02:33:55Z"},{"alias_kind":"arxiv_version","alias_value":"0912.5250v1","created_at":"2026-05-18T02:33:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.5250","created_at":"2026-05-18T02:33:55Z"},{"alias_kind":"pith_short_12","alias_value":"JD6UJZDLACQM","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"JD6UJZDLACQMAWL2","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"JD6UJZDL","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:75a2d17bdaf06fcfd73d1329801d8c55eeb8435d6fc430bcca9d1e0a15da337d","target":"graph","created_at":"2026-05-18T02:33:55Z","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 process of pair creation by a photon in a constant and homogeneous electric field is investigated basing on the polarization operator in the field. The total probability of the process is found in a relatively simple form. At high energy the quasiclassical approximation is valid. The corrections to the standard quasiclassical approximation (SQA) are calculated. In the region relatively low photon energies, where SQA is unapplicable, the new approximation is used. It is shown that in this energy interval the probability of pair creation by a photon in electric field exceeds essentially the ","authors_text":"V. M. Katkov, V. N. Baier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-12-29T04:10:59Z","title":"Pair creation by a photon in an electric field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.5250","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:ee0b93aec10ba9724d82fa202a080757e3feb91d1af0028252469bbdeff06e29","target":"record","created_at":"2026-05-18T02:33:55Z","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":"22ccf91eb95609d39c0d1bf79bd4c1144e71d0ea3671c4ee4d44ecdfb27f11c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-12-29T04:10:59Z","title_canon_sha256":"1edb3cda387bc092ece7294cdf26e7f9fe16a823bcb9b0bae92bb8425f404a54"},"schema_version":"1.0","source":{"id":"0912.5250","kind":"arxiv","version":1}},"canonical_sha256":"48fd44e46b00a0c0597a4c310901d4db1fbebdc2183f431d91a9213d64db96b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48fd44e46b00a0c0597a4c310901d4db1fbebdc2183f431d91a9213d64db96b1","first_computed_at":"2026-05-18T02:33:55.217759Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:55.217759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"onax3Lx/l7HH0igUz7/2eQTbeLjfd8ikQVJmOaDtF36txq7TUVsCf0cNPb4VmOluvKatPz9NyTjFrWJHoMUdAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:55.218272Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.5250","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee0b93aec10ba9724d82fa202a080757e3feb91d1af0028252469bbdeff06e29","sha256:75a2d17bdaf06fcfd73d1329801d8c55eeb8435d6fc430bcca9d1e0a15da337d"],"state_sha256":"951b002c79bcc8085d8e3c97067de35b8b571cb35686c2bae4a3a8458404037d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"exiEE6+a1Y97Ox+LcFsShfiYEDEojolixNIk8Lxk3XSFU97+qpTAG1uBFoXDTIDY1XA3nPFKMEqLOL02IwsYAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T14:23:38.148168Z","bundle_sha256":"a04e14a7fcaaf28bd529eb59095bce6307388d33fca0a95c456cd94a7c4ab02a"}}