{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LJMINKTITOXS6MWXWVPN2CIHLI","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":"6cd83531a88e3bb50d996228e9df0f169f8f3a39cffe421787e669d03092d318","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-08T01:26:59Z","title_canon_sha256":"2c3fa19450c6e30261514dcc46124400ea03f7e172e1a52dabc88554716533f0"},"schema_version":"1.0","source":{"id":"1301.1376","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.1376","created_at":"2026-05-18T03:33:39Z"},{"alias_kind":"arxiv_version","alias_value":"1301.1376v1","created_at":"2026-05-18T03:33:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1376","created_at":"2026-05-18T03:33:39Z"},{"alias_kind":"pith_short_12","alias_value":"LJMINKTITOXS","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LJMINKTITOXS6MWX","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LJMINKTI","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:1f94c56156150f73584bfdbefef4a55bc25e61f9fe258b74eeb9a7897a87746e","target":"graph","created_at":"2026-05-18T03:33:39Z","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 review on the mathematical methods used to theoretically study classical propagation and quantum transport in arrays of coupled photonic waveguides. We focus on analysing two types of binary photonic lattices where self-energies or couplings are alternated. For didactic reasons, we split the analysis in classical propagation and quantum transport but all methods can be implemented, mutatis mutandis, in any given case. On the classical side, we use coupled mode theory and present an operator approach to Floquet-Bloch theory in order to study the propagation of a classical electroma","authors_text":"B. M. Rodr\\'iguez-Lara, H. Moya-Cessa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-08T01:26:59Z","title":"Photon transport in binary photonic lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1376","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:bc3792f7452af93bd176a871662fd88250e8986e837bab48252ba11eb8967ee6","target":"record","created_at":"2026-05-18T03:33:39Z","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":"6cd83531a88e3bb50d996228e9df0f169f8f3a39cffe421787e669d03092d318","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-08T01:26:59Z","title_canon_sha256":"2c3fa19450c6e30261514dcc46124400ea03f7e172e1a52dabc88554716533f0"},"schema_version":"1.0","source":{"id":"1301.1376","kind":"arxiv","version":1}},"canonical_sha256":"5a5886aa689baf2f32d7b55edd09075a054cc24ad2411907720c583adf2b3a77","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a5886aa689baf2f32d7b55edd09075a054cc24ad2411907720c583adf2b3a77","first_computed_at":"2026-05-18T03:33:39.587736Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:33:39.587736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kTDzi0wFedeUEs2hKxQIQy4nsJwo5WA/5OuGA3E/SjFcoGUnSh4gde7QfP1Myv9HoaFe61LZP9MOJHyyYn4FAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:33:39.588211Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.1376","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc3792f7452af93bd176a871662fd88250e8986e837bab48252ba11eb8967ee6","sha256:1f94c56156150f73584bfdbefef4a55bc25e61f9fe258b74eeb9a7897a87746e"],"state_sha256":"4260fdb102a16fb40429c7a06281779d159b286d89b7a2dfc527ca98400a5579"}