{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:Y6KEDXOV542MYHN5TXZGVHMKKL","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":"f712df54dcf05c0b6c79544ea77043bcb6f0ab0d1c7c33fef13ac31d205d81d7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-09-11T18:38:41Z","title_canon_sha256":"3763ca40090d323bb4db4e6cef811d302ef99d5e026c3988e2df1b06263415af"},"schema_version":"1.0","source":{"id":"1309.2910","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.2910","created_at":"2026-05-18T00:56:53Z"},{"alias_kind":"arxiv_version","alias_value":"1309.2910v1","created_at":"2026-05-18T00:56:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.2910","created_at":"2026-05-18T00:56:53Z"},{"alias_kind":"pith_short_12","alias_value":"Y6KEDXOV542M","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"Y6KEDXOV542MYHN5","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"Y6KEDXOV","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:502b66e70467f076909abd6c0fd82b14b07624fefd5335d7b1dc721b9ead1a45","target":"graph","created_at":"2026-05-18T00:56:53Z","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 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","authors_text":"Gerd E. Schr\\\"oder-Turk, Klaus Mecke, Mark D. Turner, Matthias Saba, Min Gu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-09-11T18:38:41Z","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"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.2910","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":"sha256:693e1a915c3b93538f07e76dbae6aa7af3b2f16e0d722bc59852f289fb2aad7d","target":"record","created_at":"2026-05-18T00:56:53Z","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":"f712df54dcf05c0b6c79544ea77043bcb6f0ab0d1c7c33fef13ac31d205d81d7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-09-11T18:38:41Z","title_canon_sha256":"3763ca40090d323bb4db4e6cef811d302ef99d5e026c3988e2df1b06263415af"},"schema_version":"1.0","source":{"id":"1309.2910","kind":"arxiv","version":1}},"canonical_sha256":"c79441ddd5ef34cc1dbd9df26a9d8a52e5ebda52619eef39baf38bb77be48687","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c79441ddd5ef34cc1dbd9df26a9d8a52e5ebda52619eef39baf38bb77be48687","first_computed_at":"2026-05-18T00:56:53.745787Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:53.745787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oigrrEtzOArgMbuNsvJh+eC9hkBxN9ZzUd0gFHqNTH4bBVC7WgrqDzBOHhCSzNnl42Q/bXQEdt4OdF8+0yBUDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:53.746267Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.2910","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:693e1a915c3b93538f07e76dbae6aa7af3b2f16e0d722bc59852f289fb2aad7d","sha256:502b66e70467f076909abd6c0fd82b14b07624fefd5335d7b1dc721b9ead1a45"],"state_sha256":"04e91de4711131cb9a678a5647c5c4c590eedb0ec59395ced2c904e6368b9eac"}