{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:L7R7DCDFO6AUGZZ6TRC3QJH47D","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":"e777837c11517459bc8a65617487cc1e182425f69d16430ba154faf58968531d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-09-20T23:23:29Z","title_canon_sha256":"201adb4189dd33018ff69d115b6d163df7de122eebdd75172617bcdcecc56335"},"schema_version":"1.0","source":{"id":"1709.06997","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.06997","created_at":"2026-05-18T00:29:59Z"},{"alias_kind":"arxiv_version","alias_value":"1709.06997v2","created_at":"2026-05-18T00:29:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.06997","created_at":"2026-05-18T00:29:59Z"},{"alias_kind":"pith_short_12","alias_value":"L7R7DCDFO6AU","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"L7R7DCDFO6AUGZZ6","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"L7R7DCDF","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:19d4128a64e0d594883131ad46d4186f2d499f6afa29d4677015aa03cb22d44b","target":"graph","created_at":"2026-05-18T00:29:59Z","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":"Particle scattering and vacuum instability in a constant inhomogeneous electric field of particular peak configuration that consists of two (exponentially increasing and exponentially decreasing) independent parts are studied. It presents a new kind of external field where exact solutions of the Dirac and Klein-Gordon equations can be found. We obtain and analyze in- and out-solutions of the Dirac and Klein-Gordon equations in this configuration. By their help we calculate probabilities of particle scattering and characteristics of the vacuum instability. In particular, we consider in details ","authors_text":"A.A. Shishmarev, D.M. Gitman, S.P. Gavrilov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-09-20T23:23:29Z","title":"Particle scattering and vacuum instability by exponential steps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.06997","kind":"arxiv","version":2},"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":"sha256:803e0f0ef189d0fcaa05412b3c1389f1c54292b3c6a850216952c0bcc196357f","target":"record","created_at":"2026-05-18T00:29:59Z","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":"e777837c11517459bc8a65617487cc1e182425f69d16430ba154faf58968531d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-09-20T23:23:29Z","title_canon_sha256":"201adb4189dd33018ff69d115b6d163df7de122eebdd75172617bcdcecc56335"},"schema_version":"1.0","source":{"id":"1709.06997","kind":"arxiv","version":2}},"canonical_sha256":"5fe3f18865778143673e9c45b824fcf8d31b4860bb816ef90cb641feacf0834b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5fe3f18865778143673e9c45b824fcf8d31b4860bb816ef90cb641feacf0834b","first_computed_at":"2026-05-18T00:29:59.850258Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:59.850258Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"POsPn9PQeh4v3KZToqoiqQJNQj5nDEVPFhqnLnSVrjRuBt51Gd4iqVb3G3FtibrpX7YgeFmmiIE7wITLB3HWAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:59.850874Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.06997","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:803e0f0ef189d0fcaa05412b3c1389f1c54292b3c6a850216952c0bcc196357f","sha256:19d4128a64e0d594883131ad46d4186f2d499f6afa29d4677015aa03cb22d44b"],"state_sha256":"eda9b30ebcb41a6bf1126ac6e2fee03c10953bafc3ce8fc8a101b08f683d6504"}