{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:UIFUQ333SWA3DLKF7D5J2BJHJE","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":"c61efda850818a28c935e411a4254621fb98305c64e088ec726eceeae3ea0cec","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-03-06T17:13:41Z","title_canon_sha256":"e57f9f66e396b34525ea061d7202f9c59049fe3e37ccfbc25e26c8acfefa72f0"},"schema_version":"1.0","source":{"id":"1403.1498","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1498","created_at":"2026-05-18T02:40:47Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1498v1","created_at":"2026-05-18T02:40:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1498","created_at":"2026-05-18T02:40:47Z"},{"alias_kind":"pith_short_12","alias_value":"UIFUQ333SWA3","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UIFUQ333SWA3DLKF","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UIFUQ333","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:3104e9d645b70847c352ca4cddf6e03a72140235bcfaeb7a48f7dfdf55fcfb77","target":"graph","created_at":"2026-05-18T02:40:47Z","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 class of waveguide arrays that is the classical analog of a quantum harmonic oscillator where the mass and frequency depend on the propagation distance. In these photonic lattices refractive indices and second neighbor couplings define the mass and frequency of the analog quantum oscillator, while first neighbor couplings are a free parameter to adjust the model. The quantum model conserves the Ermakov-Lewis invariant, thus the photonic crystal also posses this symmetry.","authors_text":"B. M. Rodr\\'iguez Lara, D. N. Christodoulides, H. M. Moya-Cessa, P. Aleahmad","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-03-06T17:13:41Z","title":"Ermakov-Lewis symmetry in photonic lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1498","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:f1e86fde9bdd85cbae06a6590c63f58e68f7f11ee31061e569b64a9024f078ca","target":"record","created_at":"2026-05-18T02:40:47Z","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":"c61efda850818a28c935e411a4254621fb98305c64e088ec726eceeae3ea0cec","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2014-03-06T17:13:41Z","title_canon_sha256":"e57f9f66e396b34525ea061d7202f9c59049fe3e37ccfbc25e26c8acfefa72f0"},"schema_version":"1.0","source":{"id":"1403.1498","kind":"arxiv","version":1}},"canonical_sha256":"a20b486f7b9581b1ad45f8fa9d052749016a266143f4306f82414fe149bc4d69","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a20b486f7b9581b1ad45f8fa9d052749016a266143f4306f82414fe149bc4d69","first_computed_at":"2026-05-18T02:40:47.268150Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:47.268150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SdpukGjtBfeXG3RbU6hWgK2HcolMDFNnU5CSYDULb+DLXDue2HQvhY2zZENcUx99ggWHHRKaYGKfv6mUu0MIAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:47.268599Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.1498","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1e86fde9bdd85cbae06a6590c63f58e68f7f11ee31061e569b64a9024f078ca","sha256:3104e9d645b70847c352ca4cddf6e03a72140235bcfaeb7a48f7dfdf55fcfb77"],"state_sha256":"1cef1125b37aacc4a6a9abdd2712632e9a10d9d975c5c3299ef8a8c84e6fd521"}