{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZLDIQ4WUAV5N7XYYULGS2ODTYN","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":"eb8398e85b4a0fc08cfc2a03d55fb9c7f58813cd2d92564d784c62bca860b07f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2018-01-26T04:38:19Z","title_canon_sha256":"53392d60ecad9fe856c6ca0c7aeb3a74459a411d789bff746885672d548362d4"},"schema_version":"1.0","source":{"id":"1801.08671","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.08671","created_at":"2026-05-17T23:52:18Z"},{"alias_kind":"arxiv_version","alias_value":"1801.08671v1","created_at":"2026-05-17T23:52:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.08671","created_at":"2026-05-17T23:52:18Z"},{"alias_kind":"pith_short_12","alias_value":"ZLDIQ4WUAV5N","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZLDIQ4WUAV5N7XYY","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZLDIQ4WU","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:47c6f0107a6c32dc3e9547c8cf11e4ed27b8dd219f4882fc57645f3d8ebf66ab","target":"graph","created_at":"2026-05-17T23:52:18Z","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 investigate the optical properties of a photonic crystal composed of a quasi-one-dimensional flat-band lattice array through finite-difference time-domain simulations. The photonic bands contain flat bands (FBs) at specific frequencies, which correspond to compact localized states as a consequence of destructive interference. The FBs are shown to be nondispersive along the $\\Gamma\\rightarrow X$ line, but dispersive along the $\\Gamma\\rightarrow Y$ line. The FB localization of light in a single direction only results in a self-collimation of light propagation throughout the photonic crystal a","authors_text":"Ajith Ramachandran, Elefterios Lidorikis, Hee Chul Park, Jung-Wan Ryu, Nojoon Myoung","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2018-01-26T04:38:19Z","title":"Flat-band localization and self-collimation of light in photonic crystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.08671","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":"sha256:2b7ee9b42111af4f20b43724c0cecb83e9f36d5504c831f483301459cdebaf69","target":"record","created_at":"2026-05-17T23:52:18Z","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":"eb8398e85b4a0fc08cfc2a03d55fb9c7f58813cd2d92564d784c62bca860b07f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2018-01-26T04:38:19Z","title_canon_sha256":"53392d60ecad9fe856c6ca0c7aeb3a74459a411d789bff746885672d548362d4"},"schema_version":"1.0","source":{"id":"1801.08671","kind":"arxiv","version":1}},"canonical_sha256":"cac68872d4057adfdf18a2cd2d3873c37f24bf19cca7922f12310e87664799dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cac68872d4057adfdf18a2cd2d3873c37f24bf19cca7922f12310e87664799dd","first_computed_at":"2026-05-17T23:52:18.635833Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:18.635833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SksYv7vITxEcyBc5K65ShDtQP1Oxr5gprPU82Z/9C0dsyB0UFV5WpeMjO8BD23ErNyy0TvZfuuj7BQbka0B/Cg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:18.636508Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.08671","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b7ee9b42111af4f20b43724c0cecb83e9f36d5504c831f483301459cdebaf69","sha256:47c6f0107a6c32dc3e9547c8cf11e4ed27b8dd219f4882fc57645f3d8ebf66ab"],"state_sha256":"ea0f8986775df31cf85012d9771fcc42edffea77736561677a998ebcf20cbb4b"}