{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:QSAO4IYJUWMEWTZWWRZ63BY34P","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":"cd98788d06c2f8bdcd4ea2864441d4f3b31d4199c9f641d07cf69fdaa281219f","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2022-12-01T06:51:21Z","title_canon_sha256":"ee6d918298b22eff1fb9380673c1eef37a1a91926a14023ef15cd357b537a2dd"},"schema_version":"1.0","source":{"id":"2212.00307","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.00307","created_at":"2026-07-05T06:10:24Z"},{"alias_kind":"arxiv_version","alias_value":"2212.00307v2","created_at":"2026-07-05T06:10:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.00307","created_at":"2026-07-05T06:10:24Z"},{"alias_kind":"pith_short_12","alias_value":"QSAO4IYJUWME","created_at":"2026-07-05T06:10:24Z"},{"alias_kind":"pith_short_16","alias_value":"QSAO4IYJUWMEWTZW","created_at":"2026-07-05T06:10:24Z"},{"alias_kind":"pith_short_8","alias_value":"QSAO4IYJ","created_at":"2026-07-05T06:10:24Z"}],"graph_snapshots":[{"event_id":"sha256:a924cd4924ea00e639ba526f9ca9c6f3880ae81268db6ee87257c2bc5cb69b38","target":"graph","created_at":"2026-07-05T06:10:24Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2212.00307/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Non-Hermitian photonic lattices combine the peculiar consequences of energy non-conservation with the physics of bandstructures, giving rise to a variety of exotic properties not found in conventional materials or photonic metamaterials. In this tutorial, we introduce the key concepts in the design and implementation of non-Hermitian photonic lattices, including the general features of non-Hermitian lattice Hamiltonians and their bandstructures, the role of non-Hermitian lattice symmetries, and the topological chracterization of non-Hermitian bandstructures. We survey several important non-Her","authors_text":"Qiang Wang, Y. D. Chong","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2022-12-01T06:51:21Z","title":"Non-Hermitian Photonic Lattices: tutorial"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.00307","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:fed2db383c5a7093e81d8f7f41974e52bc94c6a6cd489600b0f159bf5dff4ee4","target":"record","created_at":"2026-07-05T06:10:24Z","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":"cd98788d06c2f8bdcd4ea2864441d4f3b31d4199c9f641d07cf69fdaa281219f","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2022-12-01T06:51:21Z","title_canon_sha256":"ee6d918298b22eff1fb9380673c1eef37a1a91926a14023ef15cd357b537a2dd"},"schema_version":"1.0","source":{"id":"2212.00307","kind":"arxiv","version":2}},"canonical_sha256":"8480ee2309a5984b4f36b473ed871be3e5912257eca3c746051a5d064f18d5e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8480ee2309a5984b4f36b473ed871be3e5912257eca3c746051a5d064f18d5e8","first_computed_at":"2026-07-05T06:10:24.570341Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:10:24.570341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Cx5sINf43ydVn7etBdh5ilMkwFVRsaG4jxmnU+6J4+ANUVDIkcx6pACC6+EuBQjXw2I/OnipyECYtksX23i+BA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:10:24.570809Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.00307","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fed2db383c5a7093e81d8f7f41974e52bc94c6a6cd489600b0f159bf5dff4ee4","sha256:a924cd4924ea00e639ba526f9ca9c6f3880ae81268db6ee87257c2bc5cb69b38"],"state_sha256":"04a8aaa8c056fa42b5fe6afc2ef833300495f599e94eeb7dbea2c165244d25d0"}