{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CBFOMNK2NUYLJG2N4QSY7AH73B","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":"652ba033a1e54eff59596326a6bbac5fbf169a34bd4517325c2e3de6b7b12398","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-07-17T05:25:31Z","title_canon_sha256":"72b9f7a3bed6af77ffa13982a67b9d2f0c2182359e2f1936c5c793d36ee05e94"},"schema_version":"1.0","source":{"id":"1507.04836","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.04836","created_at":"2026-05-18T01:36:42Z"},{"alias_kind":"arxiv_version","alias_value":"1507.04836v1","created_at":"2026-05-18T01:36:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.04836","created_at":"2026-05-18T01:36:42Z"},{"alias_kind":"pith_short_12","alias_value":"CBFOMNK2NUYL","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"CBFOMNK2NUYLJG2N","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"CBFOMNK2","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:c4c1097f96a79d3112871eba8d6dd5e23f8a46ea9aa5a4cfc604b890fbdc9ded","target":"graph","created_at":"2026-05-18T01:36:42Z","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 cornerstone equation of optics, Snell's law, relates the angles of incidence and refraction for light passing through an interface between two media. It is built on two fundamental constrains: the conservation of tangential momentum and the conservation of energy. By relaxing the classical Snell law photon momentum conservation constrain when using space-gradient phase discontinuity, optical metasurfaces enabled an entirely new class of ultrathin optical devices. Here, we show that by eradicating the photon energy conservation constrain when introducing time-gradient phase discontinuity, we ","authors_text":"Alexander Kildishev, Amr Shaltout, Vladimir Shalaev","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-07-17T05:25:31Z","title":"Time-Varying Metasurfaces and Lorentz Non-Reciprocity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.04836","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":"sha256:3bd41d4c3296e9bf202b8f70cad70faa1bb54d16a8a746030966af38510d0f71","target":"record","created_at":"2026-05-18T01:36:42Z","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":"652ba033a1e54eff59596326a6bbac5fbf169a34bd4517325c2e3de6b7b12398","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-07-17T05:25:31Z","title_canon_sha256":"72b9f7a3bed6af77ffa13982a67b9d2f0c2182359e2f1936c5c793d36ee05e94"},"schema_version":"1.0","source":{"id":"1507.04836","kind":"arxiv","version":1}},"canonical_sha256":"104ae6355a6d30b49b4de4258f80ffd84801c6e7d88909cf51627e32e0731e62","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"104ae6355a6d30b49b4de4258f80ffd84801c6e7d88909cf51627e32e0731e62","first_computed_at":"2026-05-18T01:36:42.643851Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:42.643851Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MT9KkgB9DbmQKhAkTp4ScJv1lPTPLi+5iTsdwtBjmvZZRa5A9xOWJB6DuDVLFl/AI8OGMPfnB9a6dubsCtBtCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:42.644469Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.04836","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3bd41d4c3296e9bf202b8f70cad70faa1bb54d16a8a746030966af38510d0f71","sha256:c4c1097f96a79d3112871eba8d6dd5e23f8a46ea9aa5a4cfc604b890fbdc9ded"],"state_sha256":"7cd2d3e246e12f2dd0b0eb9be2315dbefd6d147773e19d7f4a39d16f0d8c9582"}