{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:GW3SOFBQDNAQDATAMUVDNSQUPH","short_pith_number":"pith:GW3SOFBQ","canonical_record":{"source":{"id":"1202.6426","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-02-29T02:50:55Z","cross_cats_sorted":[],"title_canon_sha256":"e99d720b4d873fff95d422d15186e931eb5f96e5d14c3b193bd05636c42d5bce","abstract_canon_sha256":"3a928e48c010467c8202c845cf34e97ca74545d11767dd9031f6d29a7e86a05f"},"schema_version":"1.0"},"canonical_sha256":"35b72714301b41018260652a36ca1479c839c0d001841daba93272bd864a9a8a","source":{"kind":"arxiv","id":"1202.6426","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.6426","created_at":"2026-05-18T03:59:28Z"},{"alias_kind":"arxiv_version","alias_value":"1202.6426v1","created_at":"2026-05-18T03:59:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.6426","created_at":"2026-05-18T03:59:28Z"},{"alias_kind":"pith_short_12","alias_value":"GW3SOFBQDNAQ","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GW3SOFBQDNAQDATA","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GW3SOFBQ","created_at":"2026-05-18T12:27:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:GW3SOFBQDNAQDATAMUVDNSQUPH","target":"record","payload":{"canonical_record":{"source":{"id":"1202.6426","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-02-29T02:50:55Z","cross_cats_sorted":[],"title_canon_sha256":"e99d720b4d873fff95d422d15186e931eb5f96e5d14c3b193bd05636c42d5bce","abstract_canon_sha256":"3a928e48c010467c8202c845cf34e97ca74545d11767dd9031f6d29a7e86a05f"},"schema_version":"1.0"},"canonical_sha256":"35b72714301b41018260652a36ca1479c839c0d001841daba93272bd864a9a8a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:28.870911Z","signature_b64":"iBUexcY9BePVw/1sVvkgWyeM14JCbG4LE2SaE8V8vly6kIjZBYYDZX7l6HrZ0PxVUibjM0KM/zkp54OGeaRSCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"35b72714301b41018260652a36ca1479c839c0d001841daba93272bd864a9a8a","last_reissued_at":"2026-05-18T03:59:28.870072Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:28.870072Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.6426","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:59:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ur0l9xloDf4Fs3ueNgbwwDUymOA3VvOVqqCrvOn3fyic/8Yc120ih0p8YvRuWwdK0yenXGaiU55uSL3dZwjJDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T13:06:47.342348Z"},"content_sha256":"3385be84b8072157b7ad68f357b6763805ae024f2d38280dc9638ff3d10c6501","schema_version":"1.0","event_id":"sha256:3385be84b8072157b7ad68f357b6763805ae024f2d38280dc9638ff3d10c6501"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:GW3SOFBQDNAQDATAMUVDNSQUPH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Semi-analytic method for slow light photonic crystal waveguide design","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Caitlin Fisher, C. Martijn de Sterke, Felix J. Lawrence, Nadav Gutman, Patrick Blown","submitted_at":"2012-02-29T02:50:55Z","abstract_excerpt":"We present a semi-analytic method to calculate the dispersion curves and the group velocity of photonic crystal waveguide modes in two-dimensional geometries. We model the waveguide as a homogenous strip, surrounded by photonic crystal acting as diffracting mirrors. Following conventional guided-wave optics, the properties of the photonic crystal waveguide may be calculated from the phase upon propagation over the strip and the phase upon reflection. The cases of interest require a theory including the specular order and one other diffracted reflected order. The computational advantages let us"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.6426","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:59:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9pf4tKAm5HAtlyVujuYrVk1Yoqun5PUnmF6QZ0682Of61Zk7IuMDdr1N5tHb6r9wpvDOEiv8VAntG95Urne0Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T13:06:47.343015Z"},"content_sha256":"9e84ec0c0e1870046a66abc3adc0033baf25e49481f960a9bbc6f8d78543ac80","schema_version":"1.0","event_id":"sha256:9e84ec0c0e1870046a66abc3adc0033baf25e49481f960a9bbc6f8d78543ac80"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GW3SOFBQDNAQDATAMUVDNSQUPH/bundle.json","state_url":"https://pith.science/pith/GW3SOFBQDNAQDATAMUVDNSQUPH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GW3SOFBQDNAQDATAMUVDNSQUPH/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T13:06:47Z","links":{"resolver":"https://pith.science/pith/GW3SOFBQDNAQDATAMUVDNSQUPH","bundle":"https://pith.science/pith/GW3SOFBQDNAQDATAMUVDNSQUPH/bundle.json","state":"https://pith.science/pith/GW3SOFBQDNAQDATAMUVDNSQUPH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GW3SOFBQDNAQDATAMUVDNSQUPH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:GW3SOFBQDNAQDATAMUVDNSQUPH","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":"3a928e48c010467c8202c845cf34e97ca74545d11767dd9031f6d29a7e86a05f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-02-29T02:50:55Z","title_canon_sha256":"e99d720b4d873fff95d422d15186e931eb5f96e5d14c3b193bd05636c42d5bce"},"schema_version":"1.0","source":{"id":"1202.6426","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.6426","created_at":"2026-05-18T03:59:28Z"},{"alias_kind":"arxiv_version","alias_value":"1202.6426v1","created_at":"2026-05-18T03:59:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.6426","created_at":"2026-05-18T03:59:28Z"},{"alias_kind":"pith_short_12","alias_value":"GW3SOFBQDNAQ","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GW3SOFBQDNAQDATA","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GW3SOFBQ","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:9e84ec0c0e1870046a66abc3adc0033baf25e49481f960a9bbc6f8d78543ac80","target":"graph","created_at":"2026-05-18T03:59:28Z","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 present a semi-analytic method to calculate the dispersion curves and the group velocity of photonic crystal waveguide modes in two-dimensional geometries. We model the waveguide as a homogenous strip, surrounded by photonic crystal acting as diffracting mirrors. Following conventional guided-wave optics, the properties of the photonic crystal waveguide may be calculated from the phase upon propagation over the strip and the phase upon reflection. The cases of interest require a theory including the specular order and one other diffracted reflected order. The computational advantages let us","authors_text":"Caitlin Fisher, C. Martijn de Sterke, Felix J. Lawrence, Nadav Gutman, Patrick Blown","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-02-29T02:50:55Z","title":"Semi-analytic method for slow light photonic crystal waveguide design"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.6426","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":"sha256:3385be84b8072157b7ad68f357b6763805ae024f2d38280dc9638ff3d10c6501","target":"record","created_at":"2026-05-18T03:59:28Z","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":"3a928e48c010467c8202c845cf34e97ca74545d11767dd9031f6d29a7e86a05f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-02-29T02:50:55Z","title_canon_sha256":"e99d720b4d873fff95d422d15186e931eb5f96e5d14c3b193bd05636c42d5bce"},"schema_version":"1.0","source":{"id":"1202.6426","kind":"arxiv","version":1}},"canonical_sha256":"35b72714301b41018260652a36ca1479c839c0d001841daba93272bd864a9a8a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"35b72714301b41018260652a36ca1479c839c0d001841daba93272bd864a9a8a","first_computed_at":"2026-05-18T03:59:28.870072Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:28.870072Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iBUexcY9BePVw/1sVvkgWyeM14JCbG4LE2SaE8V8vly6kIjZBYYDZX7l6HrZ0PxVUibjM0KM/zkp54OGeaRSCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:28.870911Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.6426","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3385be84b8072157b7ad68f357b6763805ae024f2d38280dc9638ff3d10c6501","sha256:9e84ec0c0e1870046a66abc3adc0033baf25e49481f960a9bbc6f8d78543ac80"],"state_sha256":"0a1714a6a66fe1abfc184b01ada33ab0ff51cb8112b8c1660f927db267956c3a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ow3MqwEc0IPq0UeW8E66/gkYPrtcIl5wAA9/306XIsbr0NffrDM/v/tZTtC6AJQg8h05fTruSOEr+cjMTwhfDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T13:06:47.346627Z","bundle_sha256":"3ebd97cf620f730ac74f7f6e44366c68d9aeb803dfb424bfe1f1e294404339c2"}}