{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:Y6KEDXOV542MYHN5TXZGVHMKKL","short_pith_number":"pith:Y6KEDXOV","schema_version":"1.0","canonical_sha256":"c79441ddd5ef34cc1dbd9df26a9d8a52e5ebda52619eef39baf38bb77be48687","source":{"kind":"arxiv","id":"1309.2910","version":1},"attestation_state":"computed","paper":{"title":"Group Theory of Circular-Polarization Effects in Chiral Photonic Crystals with Four-Fold Rotation Axes, Applied to the Eight-Fold Intergrowth of Gyroid Nets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Gerd E. Schr\\\"oder-Turk, Klaus Mecke, Mark D. Turner, Matthias Saba, Min Gu","submitted_at":"2013-09-11T18:38:41Z","abstract_excerpt":"We use group or representation theory and scattering matrix calculations to derive analytical results for the band structure topology and the scattering parameters, applicable to any chiral photonic crystal with body-centered cubic symmetry I432 for circularly-polarised incident light. We demonstrate in particular that all bands along the cubic [100] direction can be identified with the irreducible representations E+/-,A and B of the C4 point group. E+ and E- modes represent the only transmission channels for plane waves with wave vector along the ? line, and can be identified as non-interacti"},"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":"1309.2910","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-09-11T18:38:41Z","cross_cats_sorted":[],"title_canon_sha256":"3763ca40090d323bb4db4e6cef811d302ef99d5e026c3988e2df1b06263415af","abstract_canon_sha256":"f712df54dcf05c0b6c79544ea77043bcb6f0ab0d1c7c33fef13ac31d205d81d7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:53.746267Z","signature_b64":"oigrrEtzOArgMbuNsvJh+eC9hkBxN9ZzUd0gFHqNTH4bBVC7WgrqDzBOHhCSzNnl42Q/bXQEdt4OdF8+0yBUDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c79441ddd5ef34cc1dbd9df26a9d8a52e5ebda52619eef39baf38bb77be48687","last_reissued_at":"2026-05-18T00:56:53.745787Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:53.745787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Group Theory of Circular-Polarization Effects in Chiral Photonic Crystals with Four-Fold Rotation Axes, Applied to the Eight-Fold Intergrowth of Gyroid Nets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Gerd E. Schr\\\"oder-Turk, Klaus Mecke, Mark D. Turner, Matthias Saba, Min Gu","submitted_at":"2013-09-11T18:38:41Z","abstract_excerpt":"We use group or representation theory and scattering matrix calculations to derive analytical results for the band structure topology and the scattering parameters, applicable to any chiral photonic crystal with body-centered cubic symmetry I432 for circularly-polarised incident light. We demonstrate in particular that all bands along the cubic [100] direction can be identified with the irreducible representations E+/-,A and B of the C4 point group. E+ and E- modes represent the only transmission channels for plane waves with wave vector along the ? line, and can be identified as non-interacti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.2910","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1309.2910","created_at":"2026-05-18T00:56:53.745859+00:00"},{"alias_kind":"arxiv_version","alias_value":"1309.2910v1","created_at":"2026-05-18T00:56:53.745859+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.2910","created_at":"2026-05-18T00:56:53.745859+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y6KEDXOV542M","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y6KEDXOV542MYHN5","created_at":"2026-05-18T12:28:06.772260+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y6KEDXOV","created_at":"2026-05-18T12:28:06.772260+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Y6KEDXOV542MYHN5TXZGVHMKKL","json":"https://pith.science/pith/Y6KEDXOV542MYHN5TXZGVHMKKL.json","graph_json":"https://pith.science/api/pith-number/Y6KEDXOV542MYHN5TXZGVHMKKL/graph.json","events_json":"https://pith.science/api/pith-number/Y6KEDXOV542MYHN5TXZGVHMKKL/events.json","paper":"https://pith.science/paper/Y6KEDXOV"},"agent_actions":{"view_html":"https://pith.science/pith/Y6KEDXOV542MYHN5TXZGVHMKKL","download_json":"https://pith.science/pith/Y6KEDXOV542MYHN5TXZGVHMKKL.json","view_paper":"https://pith.science/paper/Y6KEDXOV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1309.2910&json=true","fetch_graph":"https://pith.science/api/pith-number/Y6KEDXOV542MYHN5TXZGVHMKKL/graph.json","fetch_events":"https://pith.science/api/pith-number/Y6KEDXOV542MYHN5TXZGVHMKKL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y6KEDXOV542MYHN5TXZGVHMKKL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y6KEDXOV542MYHN5TXZGVHMKKL/action/storage_attestation","attest_author":"https://pith.science/pith/Y6KEDXOV542MYHN5TXZGVHMKKL/action/author_attestation","sign_citation":"https://pith.science/pith/Y6KEDXOV542MYHN5TXZGVHMKKL/action/citation_signature","submit_replication":"https://pith.science/pith/Y6KEDXOV542MYHN5TXZGVHMKKL/action/replication_record"}},"created_at":"2026-05-18T00:56:53.745859+00:00","updated_at":"2026-05-18T00:56:53.745859+00:00"}