{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SNU4TMKNXE5ZDYCCLKKDAPUXAU","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":"210a2c2632c7e943c8394fa838d41f32ed3c788b7d5a1fcf844057048fa01f6a","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-02-26T13:17:40Z","title_canon_sha256":"d1f431ddc015507bc0bd87598936dabcbbaa4b6dbb288409936d03ba6e1ee6d3"},"schema_version":"1.0","source":{"id":"1602.08310","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.08310","created_at":"2026-05-18T00:54:08Z"},{"alias_kind":"arxiv_version","alias_value":"1602.08310v2","created_at":"2026-05-18T00:54:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.08310","created_at":"2026-05-18T00:54:08Z"},{"alias_kind":"pith_short_12","alias_value":"SNU4TMKNXE5Z","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SNU4TMKNXE5ZDYCC","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SNU4TMKN","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:54dceb810a9c3a0473419f7537b5f166489256d034a2608726a7655ca93a85e6","target":"graph","created_at":"2026-05-18T00:54:08Z","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 production of particle-antiparticle pairs from the quantum field theoretic ground state in the presence of an external electric field is studied. Starting with the quantum kinetic Boltzmann-Vlasov equation in four-dimensional spacetime, we obtain the corresponding equations in lower dimensionalities by way of spatial compactification. Our outcomes in $2+1$-dimensions are applied to bandgap graphene layers, where the charge carriers have the particular property of behaving like light massive Dirac fermions. We calculate the single-particle distribution function for the case of an electric f","authors_text":"Carsten M\\\"uller, Ibrahim Akal, Reinhold Egger, Selym Villalba-Ch\\'avez","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-02-26T13:17:40Z","title":"Low-dimensional approach to pair production in an oscillating electric field: Application to bandgap graphene layers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.08310","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:dd3a1f71bea1c0fadebf8be3ecd7c48b067b2b3ab871348c9a329d14c13d2c3e","target":"record","created_at":"2026-05-18T00:54:08Z","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":"210a2c2632c7e943c8394fa838d41f32ed3c788b7d5a1fcf844057048fa01f6a","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-02-26T13:17:40Z","title_canon_sha256":"d1f431ddc015507bc0bd87598936dabcbbaa4b6dbb288409936d03ba6e1ee6d3"},"schema_version":"1.0","source":{"id":"1602.08310","kind":"arxiv","version":2}},"canonical_sha256":"9369c9b14db93b91e0425a94303e9705083ee5d2aa4b5ac49304da5ce5e67ece","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9369c9b14db93b91e0425a94303e9705083ee5d2aa4b5ac49304da5ce5e67ece","first_computed_at":"2026-05-18T00:54:08.980829Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:08.980829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bFws4jeT2KkgndU+en+ILxIIir69RLq1fxtvVxGuK/CUZ/9LM7oe+6D6MV2q2se/E9DmN9FLDtvWabtx1JE3Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:08.981223Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.08310","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd3a1f71bea1c0fadebf8be3ecd7c48b067b2b3ab871348c9a329d14c13d2c3e","sha256:54dceb810a9c3a0473419f7537b5f166489256d034a2608726a7655ca93a85e6"],"state_sha256":"9e14febdde29cd8a8101b831fef64f584be5f35f894b5f64037cc934db84d04b"}