{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2NWK76ZH3UJSYCCUPS36AB5TPP","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":"cac9bec753c755326409736f082c80bc90d968c268524fbdcf3e2e8695b98c82","cross_cats_sorted":["cond-mat.mtrl-sci","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-07-21T22:57:35Z","title_canon_sha256":"0517dccfb914a46c747d007b85f628950eecd6a4cc964c84caf3fef51ed01aa8"},"schema_version":"1.0","source":{"id":"1607.06524","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.06524","created_at":"2026-05-18T00:35:59Z"},{"alias_kind":"arxiv_version","alias_value":"1607.06524v5","created_at":"2026-05-18T00:35:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06524","created_at":"2026-05-18T00:35:59Z"},{"alias_kind":"pith_short_12","alias_value":"2NWK76ZH3UJS","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2NWK76ZH3UJSYCCU","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2NWK76ZH","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:cacee69a3f2cf937c5dddda5d7cf9f6b8b27a4a029d60dd61f4f955154ccaf05","target":"graph","created_at":"2026-05-18T00:35:59Z","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":"Topological phase transitions, which have fascinated generations of physicists, are always demarcated by gap closures. In this work, we propose very simple 2D photonic crystal lattices with gap closure points, i.e. band degeneracies protected by nonsymmorphic symmetry. Our photonic structures are relatively easy to fabricate, consisting of two inequivalent dielectric cylinders per unit cell. Along high symmetry directions, they exhibit line degeneracies protected by glide reflection symmetry, which we explicitly demonstrate for $pg,pmg,pgg$ and $p4g$ nonsymmorphic groups. In the presence of ti","authors_text":"Ching Hua Lee, Jun Yu Lin, Nai Chao Hu, Xiao Zhang, You Jian Chen","cross_cats":["cond-mat.mtrl-sci","physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-07-21T22:57:35Z","title":"Line nodes, Dirac points and Lifshitz transition in 2D nonsymmorphic photonic crystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06524","kind":"arxiv","version":5},"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":"sha256:6d02dd2e4c1441427df676e2de96da5351d09457e90059e0efaece3f77728c7e","target":"record","created_at":"2026-05-18T00:35:59Z","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":"cac9bec753c755326409736f082c80bc90d968c268524fbdcf3e2e8695b98c82","cross_cats_sorted":["cond-mat.mtrl-sci","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-07-21T22:57:35Z","title_canon_sha256":"0517dccfb914a46c747d007b85f628950eecd6a4cc964c84caf3fef51ed01aa8"},"schema_version":"1.0","source":{"id":"1607.06524","kind":"arxiv","version":5}},"canonical_sha256":"d36caffb27dd132c08547cb7e007b37bc057fbed195d0fcfe4d75233360bf810","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d36caffb27dd132c08547cb7e007b37bc057fbed195d0fcfe4d75233360bf810","first_computed_at":"2026-05-18T00:35:59.790152Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:59.790152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/Nvh0o74IfkGyedDRK69lw0Al+H/xjDuDzfD+d75gHrMo/RNCYM/zLinaASTlQutP/wlt4+v10mg0Or5UOGVCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:59.790778Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.06524","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d02dd2e4c1441427df676e2de96da5351d09457e90059e0efaece3f77728c7e","sha256:cacee69a3f2cf937c5dddda5d7cf9f6b8b27a4a029d60dd61f4f955154ccaf05"],"state_sha256":"aa4ac72967197f4efe525463457e769d5ff19c1c6e8c554250ded64891d4c6db"}