{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZLOGMCV7FXRPNLEIHYCFQQHIWZ","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":"30bad9fc9f0a741cb7cda635624890188a1a3734716e52e799f0828daf8645a8","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-03-12T02:38:36Z","title_canon_sha256":"5fb9d3b4eace9057d171d7e2810740827399b191bab2e7108c3850d9438c0612"},"schema_version":"1.0","source":{"id":"1503.03568","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.03568","created_at":"2026-05-18T00:49:00Z"},{"alias_kind":"arxiv_version","alias_value":"1503.03568v3","created_at":"2026-05-18T00:49:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.03568","created_at":"2026-05-18T00:49:00Z"},{"alias_kind":"pith_short_12","alias_value":"ZLOGMCV7FXRP","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZLOGMCV7FXRPNLEI","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZLOGMCV7","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:7a469eff48a83ed0fdf873087c53fd58a71d36c2f17aed513bb748e01af117d7","target":"graph","created_at":"2026-05-18T00:49:00Z","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":"A thin conducting sheet - graphene, for example - transmits, absorbs, and reflects radiation. A sheet that is very thin, even vanishingly so, can still produce 50% absorption at normal incidence if it has conductivity corresponding to half the impedance of free space. We find that, regardless of the sheet conductivity, there exists a combination of polarization and angle of incidence that achieves this impedance half-matching condition. If the conducting medium can be inverted, the conductivity is formally negative and the sheet amplifies the incident radiation. To the extent that a negative h","authors_text":"B.C. Regan, Matthew Mecklenburg","cross_cats":["physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-03-12T02:38:36Z","title":"Impedance matching of inverted conductors: Two-dimensional beam splitters with divergent gain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.03568","kind":"arxiv","version":3},"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":"sha256:3c7f8c49d6b6f4dbce610ba78ab1656386803c18ad9e04db30930d8428e9d3c8","target":"record","created_at":"2026-05-18T00:49:00Z","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":"30bad9fc9f0a741cb7cda635624890188a1a3734716e52e799f0828daf8645a8","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2015-03-12T02:38:36Z","title_canon_sha256":"5fb9d3b4eace9057d171d7e2810740827399b191bab2e7108c3850d9438c0612"},"schema_version":"1.0","source":{"id":"1503.03568","kind":"arxiv","version":3}},"canonical_sha256":"cadc660abf2de2f6ac883e045840e8b64dcd6285fb3e7fbaaebd2ea697dd22da","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cadc660abf2de2f6ac883e045840e8b64dcd6285fb3e7fbaaebd2ea697dd22da","first_computed_at":"2026-05-18T00:49:00.273801Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:00.273801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"60fVKfPEs/HvIwNAPTqioCY2Tb2Y4y1X4rZWJnhAM418ygb1TFnbfZUU117ydbMic5iqXrdg2C9MQEqEGiutBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:00.274500Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.03568","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c7f8c49d6b6f4dbce610ba78ab1656386803c18ad9e04db30930d8428e9d3c8","sha256:7a469eff48a83ed0fdf873087c53fd58a71d36c2f17aed513bb748e01af117d7"],"state_sha256":"e006e2c855a0323fe59d6ac459107b978c832a89f7e509e99ba45ef2f995c47f"}