{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WGSJIP33AZT5E3IZDUX7DHCTWM","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":"4a4ef60558b244bb59e85396dc5a219d89b03e31b69e36ddac1aa1dbe7c9c6f1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2017-05-10T00:28:18Z","title_canon_sha256":"eb9e38eecc4b9512e684c0a3e59e93e45a31c51956c2c65c917b9fe44b145cb3"},"schema_version":"1.0","source":{"id":"1705.03574","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.03574","created_at":"2026-05-18T00:22:29Z"},{"alias_kind":"arxiv_version","alias_value":"1705.03574v2","created_at":"2026-05-18T00:22:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.03574","created_at":"2026-05-18T00:22:29Z"},{"alias_kind":"pith_short_12","alias_value":"WGSJIP33AZT5","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WGSJIP33AZT5E3IZ","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WGSJIP33","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:2326cb9c9b2fccf5957e945ad2250ba2ad7900b83d21a6e1ee8684a6b5d7cfa3","target":"graph","created_at":"2026-05-18T00:22:29Z","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 apply a large-scale computational technique, known as topology optimization, to the inverse design of photonic Dirac cones. In particular, we report on a variety of photonic crystal geometries, realizable in simple isotropic dielectric materials, which exhibit dual-polarization and dual-wavelength Dirac cones. We demonstrate the flexibility of this technique by designing photonic crystals of different symmetry types, such as ones with four-fold and six-fold rotational symmetry, which possess Dirac cones at different points within the Brillouin zone. The demonstrated and related optimization","authors_text":"Alejandro W. Rodriguez, Eric Mazur, Lysander Christakis, Marko Lon\\v{c}ar, Yang Li, Zin Lin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2017-05-10T00:28:18Z","title":"Topology-optimized Dual-Polarization Dirac Cones"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.03574","kind":"arxiv","version":2},"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:e9585eeb3cef577549458286ba2f0be8b2a998b39a5b32467c4220ea45f609cc","target":"record","created_at":"2026-05-18T00:22:29Z","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":"4a4ef60558b244bb59e85396dc5a219d89b03e31b69e36ddac1aa1dbe7c9c6f1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2017-05-10T00:28:18Z","title_canon_sha256":"eb9e38eecc4b9512e684c0a3e59e93e45a31c51956c2c65c917b9fe44b145cb3"},"schema_version":"1.0","source":{"id":"1705.03574","kind":"arxiv","version":2}},"canonical_sha256":"b1a4943f7b0667d26d191d2ff19c53b30e2d53c107d1dcf7979b59772a3708a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b1a4943f7b0667d26d191d2ff19c53b30e2d53c107d1dcf7979b59772a3708a6","first_computed_at":"2026-05-18T00:22:29.254583Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:29.254583Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5dOYFZIHY6dyPfj2K6lGSTbRrBoVejkd79QqX3M1QHe9rR7kyaPdPzoX0xhdh/6l2iZCL3ujBE6kGJDdQ2RHBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:29.255225Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.03574","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e9585eeb3cef577549458286ba2f0be8b2a998b39a5b32467c4220ea45f609cc","sha256:2326cb9c9b2fccf5957e945ad2250ba2ad7900b83d21a6e1ee8684a6b5d7cfa3"],"state_sha256":"ac97a838621f6d9e052dce3769d7e29f2e521a201b8d35723d2ab88f03dd60ba"}