{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:7RZXA73HTWZZK73PEATYYLGPIR","short_pith_number":"pith:7RZXA73H","schema_version":"1.0","canonical_sha256":"fc73707f679db3957f6f20278c2ccf445bbf4dbf11bc863c53f5f235c5720eef","source":{"kind":"arxiv","id":"2405.03238","version":2},"attestation_state":"computed","paper":{"title":"Interface Modes in Honeycomb Topological Photonic Structures with Broken Reflection Symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP","math.SP","physics.optics"],"primary_cat":"math-ph","authors_text":"Hai Zhang, Jiayu Qiu, Junshan Lin, Wei Li","submitted_at":"2024-05-06T07:47:55Z","abstract_excerpt":"In this work, we present a mathematical theory for Dirac points and interface modes in honeycomb topological photonic structures consisting of impenetrable obstacles. Starting from a honeycomb lattice of obstacles attaining $120^\\circ$-rotation symmetry and horizontal reflection symmetry, we apply the boundary integral equation method to show the existence of Dirac points for the first two bands at the vertices of the Brillouin zone. We then study interface modes in a joint honeycomb photonic structure, which consists of two periodic lattices obtained by perturbing the honeycomb one with Dirac"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2405.03238","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-05-06T07:47:55Z","cross_cats_sorted":["math.AP","math.MP","math.SP","physics.optics"],"title_canon_sha256":"144729bf1dc05e477618f4713fae94139e0ef14e6135848dccee2bcac3f7ab94","abstract_canon_sha256":"30d0820502ffe58989d8a59d3a85642a2643dced85f3b73046e5b163f4a296da"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:16:09.380760Z","signature_b64":"SAqWrrmDaBufm6ib+3TmTtMku95bD+AenU0GP71qlSIUBPTK0KuUYUVIJYJjncedq6nIFx2ACN3pGue+hU3kCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc73707f679db3957f6f20278c2ccf445bbf4dbf11bc863c53f5f235c5720eef","last_reissued_at":"2026-07-05T08:16:09.380270Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:16:09.380270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Interface Modes in Honeycomb Topological Photonic Structures with Broken Reflection Symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP","math.SP","physics.optics"],"primary_cat":"math-ph","authors_text":"Hai Zhang, Jiayu Qiu, Junshan Lin, Wei Li","submitted_at":"2024-05-06T07:47:55Z","abstract_excerpt":"In this work, we present a mathematical theory for Dirac points and interface modes in honeycomb topological photonic structures consisting of impenetrable obstacles. Starting from a honeycomb lattice of obstacles attaining $120^\\circ$-rotation symmetry and horizontal reflection symmetry, we apply the boundary integral equation method to show the existence of Dirac points for the first two bands at the vertices of the Brillouin zone. We then study interface modes in a joint honeycomb photonic structure, which consists of two periodic lattices obtained by perturbing the honeycomb one with Dirac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.03238","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2405.03238/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2405.03238","created_at":"2026-07-05T08:16:09.380340+00:00"},{"alias_kind":"arxiv_version","alias_value":"2405.03238v2","created_at":"2026-07-05T08:16:09.380340+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.03238","created_at":"2026-07-05T08:16:09.380340+00:00"},{"alias_kind":"pith_short_12","alias_value":"7RZXA73HTWZZ","created_at":"2026-07-05T08:16:09.380340+00:00"},{"alias_kind":"pith_short_16","alias_value":"7RZXA73HTWZZK73P","created_at":"2026-07-05T08:16:09.380340+00:00"},{"alias_kind":"pith_short_8","alias_value":"7RZXA73H","created_at":"2026-07-05T08:16:09.380340+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.29485","citing_title":"Robustness of Valley-Hall Interface Modes Against Sharp Bending","ref_index":43,"is_internal_anchor":false},{"citing_arxiv_id":"2604.16712","citing_title":"Continuum honeycomb Schr\\\"odinger operators with incommensurate line defects","ref_index":114,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7RZXA73HTWZZK73PEATYYLGPIR","json":"https://pith.science/pith/7RZXA73HTWZZK73PEATYYLGPIR.json","graph_json":"https://pith.science/api/pith-number/7RZXA73HTWZZK73PEATYYLGPIR/graph.json","events_json":"https://pith.science/api/pith-number/7RZXA73HTWZZK73PEATYYLGPIR/events.json","paper":"https://pith.science/paper/7RZXA73H"},"agent_actions":{"view_html":"https://pith.science/pith/7RZXA73HTWZZK73PEATYYLGPIR","download_json":"https://pith.science/pith/7RZXA73HTWZZK73PEATYYLGPIR.json","view_paper":"https://pith.science/paper/7RZXA73H","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2405.03238&json=true","fetch_graph":"https://pith.science/api/pith-number/7RZXA73HTWZZK73PEATYYLGPIR/graph.json","fetch_events":"https://pith.science/api/pith-number/7RZXA73HTWZZK73PEATYYLGPIR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7RZXA73HTWZZK73PEATYYLGPIR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7RZXA73HTWZZK73PEATYYLGPIR/action/storage_attestation","attest_author":"https://pith.science/pith/7RZXA73HTWZZK73PEATYYLGPIR/action/author_attestation","sign_citation":"https://pith.science/pith/7RZXA73HTWZZK73PEATYYLGPIR/action/citation_signature","submit_replication":"https://pith.science/pith/7RZXA73HTWZZK73PEATYYLGPIR/action/replication_record"}},"created_at":"2026-07-05T08:16:09.380340+00:00","updated_at":"2026-07-05T08:16:09.380340+00:00"}