{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:PLDERXDUIW5HJCYXRTQP6AFP55","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":"9b93e2c0c128fb82d1be9a07d4f0d134821d37f4d662813ac340a3f2d78c632d","cross_cats_sorted":["hep-ph","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-10T18:01:00Z","title_canon_sha256":"1a5c1cdefac3e9d226127bb047be7a7ecfa02c305ba5245d7c9c14413e61ea69"},"schema_version":"1.0","source":{"id":"2606.12547","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.12547","created_at":"2026-06-12T00:07:54Z"},{"alias_kind":"arxiv_version","alias_value":"2606.12547v1","created_at":"2026-06-12T00:07:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.12547","created_at":"2026-06-12T00:07:54Z"},{"alias_kind":"pith_short_12","alias_value":"PLDERXDUIW5H","created_at":"2026-06-12T00:07:54Z"},{"alias_kind":"pith_short_16","alias_value":"PLDERXDUIW5HJCYX","created_at":"2026-06-12T00:07:54Z"},{"alias_kind":"pith_short_8","alias_value":"PLDERXDU","created_at":"2026-06-12T00:07:54Z"}],"graph_snapshots":[{"event_id":"sha256:fb8b12dfb117a7d7038ad1ebacd0952ffc4c450efe9a50a36bc55c546c46fe17","target":"graph","created_at":"2026-06-12T00:07:54Z","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/2606.12547/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a perturbative description of vacuum radiative processes in quantum electrodynamics with a prescribed external electromagnetic background capable of producing electron-positron pairs. Since the initial vacuum is then unstable and the in- and out-vacua are inequivalent, radiative observables require a real-time formulation beyond the ordinary in-out approach of vacuum-stable QED. Using the Keldysh-Schwinger-Fradkin nonequilibrium technique, we derive the mean number density of emitted photons through the second nonvanishing order in the fine-structure constant. The leading term, of o","authors_text":"D. V. Chubukov, E. V. Perelygin, I. A. Aleksandrov","cross_cats":["hep-ph","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-10T18:01:00Z","title":"Vacuum photon emission and mean electromagnetic field in pair-creating external backgrounds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.12547","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:e931edb27bc3e1cc7a79b48dfaeca1cb6cfffaf1b40b2ded494a27e049fe5de3","target":"record","created_at":"2026-06-12T00:07:54Z","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":"9b93e2c0c128fb82d1be9a07d4f0d134821d37f4d662813ac340a3f2d78c632d","cross_cats_sorted":["hep-ph","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-10T18:01:00Z","title_canon_sha256":"1a5c1cdefac3e9d226127bb047be7a7ecfa02c305ba5245d7c9c14413e61ea69"},"schema_version":"1.0","source":{"id":"2606.12547","kind":"arxiv","version":1}},"canonical_sha256":"7ac648dc7445ba748b178ce0ff00afef59e0b5d7229c85016239b4ead4c79c11","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ac648dc7445ba748b178ce0ff00afef59e0b5d7229c85016239b4ead4c79c11","first_computed_at":"2026-06-12T00:07:54.238354Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-12T00:07:54.238354Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PjIYbyRI80IF+DzsvZJlLKEBgVZ3pI8wbQ9SM+OU8XT+8dIJxtSnMCHee2K6uTciftRUQ79rlxgVcSZcwkYlAA==","signature_status":"signed_v1","signed_at":"2026-06-12T00:07:54.238774Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.12547","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e931edb27bc3e1cc7a79b48dfaeca1cb6cfffaf1b40b2ded494a27e049fe5de3","sha256:fb8b12dfb117a7d7038ad1ebacd0952ffc4c450efe9a50a36bc55c546c46fe17"],"state_sha256":"bf72e3f1674820b5778b2bbb8ae814084c18887e6a5e17ec6ce01c799e762d1c"}