{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:FUX66NNRX5X2HV5ZF72ODKYX7S","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":"c016cf1a4988874214f732aad1a0387b1711bc35f13f53c755812effa17b170f","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2009-03-11T02:05:46Z","title_canon_sha256":"4048a806c091c0de5d3bbd19d67a742ab626df312ae5d5bbde96a8180928568c"},"schema_version":"1.0","source":{"id":"0903.1890","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.1890","created_at":"2026-05-18T02:14:36Z"},{"alias_kind":"arxiv_version","alias_value":"0903.1890v1","created_at":"2026-05-18T02:14:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.1890","created_at":"2026-05-18T02:14:36Z"},{"alias_kind":"pith_short_12","alias_value":"FUX66NNRX5X2","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"FUX66NNRX5X2HV5Z","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"FUX66NNR","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:0b3564bacbe109bd66a70a9efd0eb863cd3cdb49bc1df9b92883c4de3972ac27","target":"graph","created_at":"2026-05-18T02:14:36Z","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 predict the existence of spatial-spectral vortex solitons in one-dimensional periodic waveguide arrays with quadratic nonlinear response. In such vortices the energy flow forms a closed loop through the simultaneous effects of phase gradients at the fundamental frequency and second-harmonic fields, and the parametric frequency conversion between the spectral components. The linear stability analysis shows that such modes are stable in a broad parameter region.","authors_text":"Andrey A. Sukhorukov, Zhiyong Xu","cross_cats":["nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2009-03-11T02:05:46Z","title":"Spatial-Spectral Vortex Solitons in Quadratic Lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.1890","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:f0fcfc7be7318815ce92f62f801f2c484b49676b0b9096707f273d5420df2920","target":"record","created_at":"2026-05-18T02:14:36Z","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":"c016cf1a4988874214f732aad1a0387b1711bc35f13f53c755812effa17b170f","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2009-03-11T02:05:46Z","title_canon_sha256":"4048a806c091c0de5d3bbd19d67a742ab626df312ae5d5bbde96a8180928568c"},"schema_version":"1.0","source":{"id":"0903.1890","kind":"arxiv","version":1}},"canonical_sha256":"2d2fef35b1bf6fa3d7b92ff4e1ab17fcbe1461b0eda95921de7191bd57d116d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d2fef35b1bf6fa3d7b92ff4e1ab17fcbe1461b0eda95921de7191bd57d116d3","first_computed_at":"2026-05-18T02:14:36.040515Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:14:36.040515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"evbUUAH4Nn/RVTg+hSvsJJBbRsWgUHc5CTRKUD2YNC+ptd6mJGwbp9jcxNBKlfsNnFMfEJXIV2c5iPtUdV1LAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:14:36.041111Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.1890","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f0fcfc7be7318815ce92f62f801f2c484b49676b0b9096707f273d5420df2920","sha256:0b3564bacbe109bd66a70a9efd0eb863cd3cdb49bc1df9b92883c4de3972ac27"],"state_sha256":"33f3ae16952efa00c9085f049ea44e4c25b6f43fbbe0768e37706f7d8b09e4c3"}