{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3A35M4MW5NGVQKDUYUYLKZQJLJ","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":"8be8672482a69f9da18f481488a7082f10a251f25ba9a24d89f76cbe46633d60","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-11-18T18:11:58Z","title_canon_sha256":"d0d6ffc5c72ad5aba77afa931d2f02362c79c5afdfe0111b92c950123c6b88ba"},"schema_version":"1.0","source":{"id":"1411.4948","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.4948","created_at":"2026-05-18T01:20:29Z"},{"alias_kind":"arxiv_version","alias_value":"1411.4948v1","created_at":"2026-05-18T01:20:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4948","created_at":"2026-05-18T01:20:29Z"},{"alias_kind":"pith_short_12","alias_value":"3A35M4MW5NGV","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3A35M4MW5NGVQKDU","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3A35M4MW","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:ec8d0ed36d127bf5ccdcc429536bc63bc285c8e311eb3b9129dbacd46f6468be","target":"graph","created_at":"2026-05-18T01:20:29Z","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 introduce topological defect to a square lattice of elliptical cylinders. Despite the broken translational symmetry, the long-range positional order of the cylinders leads to residual photonic bandgap in the density of optical states. However, the band-edge modes are strongly modified by the spatial variation of ellipse orientation. The $\\Gamma-X$ band-edge mode splits into four regions of high intensity and the output flux becomes asymmetric due to the formation of crystalline domains with different orientation. The $\\Gamma-M$ band-edge mode has the energy flux circulates around the topolo","authors_text":"Hui Cao, Sebastian Knitter, Seng Fatt Liew, Wen Xiong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-11-18T18:11:58Z","title":"Photonic crystals with topological defects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4948","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":"sha256:4efa8e23376f6880bd4848a5c1d042538dc7e3a8af2f9aaa1fb2420ee96e6871","target":"record","created_at":"2026-05-18T01:20:29Z","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":"8be8672482a69f9da18f481488a7082f10a251f25ba9a24d89f76cbe46633d60","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-11-18T18:11:58Z","title_canon_sha256":"d0d6ffc5c72ad5aba77afa931d2f02362c79c5afdfe0111b92c950123c6b88ba"},"schema_version":"1.0","source":{"id":"1411.4948","kind":"arxiv","version":1}},"canonical_sha256":"d837d67196eb4d582874c530b566095a6e5044bef43eb24b6e5c7a63188b8e82","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d837d67196eb4d582874c530b566095a6e5044bef43eb24b6e5c7a63188b8e82","first_computed_at":"2026-05-18T01:20:29.794236Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:29.794236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pNSaOSvWoRDj1QJOogYhvFPxt8yZ+O1Xv6lgjjon8WlC6k3Mc4Hv7Zswm9rbNOnzX49nZX7W3wCnHiCki/4nBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:29.794832Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.4948","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4efa8e23376f6880bd4848a5c1d042538dc7e3a8af2f9aaa1fb2420ee96e6871","sha256:ec8d0ed36d127bf5ccdcc429536bc63bc285c8e311eb3b9129dbacd46f6468be"],"state_sha256":"5da04ba1f879d7afc83203f4706897ebde6190b87e416e0945f12508243c144e"}