{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:IINKNTQ2WVRLOUMYMGFVY25YYS","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":"36af3fbb23f96061d8e19e27518856453c44baffd6cfe6e048656910422d3287","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-03-22T19:10:03Z","title_canon_sha256":"963099c369d3c9655fe121a66a8506797460e2740db13ea6533ee5315b445dcb"},"schema_version":"1.0","source":{"id":"1803.08549","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.08549","created_at":"2026-05-18T00:18:49Z"},{"alias_kind":"arxiv_version","alias_value":"1803.08549v1","created_at":"2026-05-18T00:18:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08549","created_at":"2026-05-18T00:18:49Z"},{"alias_kind":"pith_short_12","alias_value":"IINKNTQ2WVRL","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"IINKNTQ2WVRLOUMY","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"IINKNTQ2","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:14a9806ec02a9572d39eefab032492238c252b7d435936961ce86925655302cf","target":"graph","created_at":"2026-05-18T00:18:49Z","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":"We analyze the concept of causality for the conductivity of graphene described by the Dirac model. It is recalled that the condition of causality leads to the analyticity of conductivity in the upper half-plane of complex frequencies and to the standard symmetry properties for its real and imaginary parts. This results in the Kramers-Kronig relations, which explicit form depends on whether the conductivity has no pole at zero frequency (as in the case of zero temperature when the band gap of graphene is larger than twice the chemical potential) or it has a pole (as in all other cases, specific","authors_text":"G. L. Klimchitskaya, V. M. Mostepanenko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-03-22T19:10:03Z","title":"Kramers-Kronig relations and causality conditions for graphene in the framework of the Dirac model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08549","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":"sha256:08b317c09458bf12bacbbb40773f426c72ec47f3e23150005ca1e05f04a13733","target":"record","created_at":"2026-05-18T00:18:49Z","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":"36af3fbb23f96061d8e19e27518856453c44baffd6cfe6e048656910422d3287","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-03-22T19:10:03Z","title_canon_sha256":"963099c369d3c9655fe121a66a8506797460e2740db13ea6533ee5315b445dcb"},"schema_version":"1.0","source":{"id":"1803.08549","kind":"arxiv","version":1}},"canonical_sha256":"421aa6ce1ab562b75198618b5c6bb8c4b782574e0676733899e5e4512f1f029b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"421aa6ce1ab562b75198618b5c6bb8c4b782574e0676733899e5e4512f1f029b","first_computed_at":"2026-05-18T00:18:49.233344Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:49.233344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vtVPRmwtgXFqd5VYFZgrazzVznWlwu7jQdVBQVeTpjW0ENvdDybZB159nBptD/G8rfOukMXsSEzG9ewZ7jdvBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:49.233947Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.08549","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08b317c09458bf12bacbbb40773f426c72ec47f3e23150005ca1e05f04a13733","sha256:14a9806ec02a9572d39eefab032492238c252b7d435936961ce86925655302cf"],"state_sha256":"4c172d6695672d8e2de14949fc501fef9539242f87cf0c6919bcacc5fc44426b"}