{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:5ADZVXFSI66NIWYXP23K3MZCZT","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":"d854472266749f9793423786940508d978423ec250a01ba8f56a417cc9d192a6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2009-02-13T20:18:18Z","title_canon_sha256":"cc5cb25ed7b394efa973655e6a888c4add68adcb5a00475fae602b0b154d77e7"},"schema_version":"1.0","source":{"id":"0902.2385","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0902.2385","created_at":"2026-05-18T02:14:47Z"},{"alias_kind":"arxiv_version","alias_value":"0902.2385v1","created_at":"2026-05-18T02:14:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.2385","created_at":"2026-05-18T02:14:47Z"},{"alias_kind":"pith_short_12","alias_value":"5ADZVXFSI66N","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"5ADZVXFSI66NIWYX","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"5ADZVXFS","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:a33c5736fcfc192563cdb48095704a699023dce18ea1fe245528b435c9d590ad","target":"graph","created_at":"2026-05-18T02:14:47Z","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 investigate the existence and stability of gap vortices and multi-pole gap solitons in a Kagome lattice with a defocusing nonlinearity both in a discrete case and in a continuum one with periodic external modulation. In particular, predictions are made based on expansion around a simple and analytically tractable anti-continuum (zero coupling) limit. These predictions are then confirmed for a continuum model of an optically-induced Kagome lattice in a photorefractive crystal obtained by a continuous transformation of a honeycomb lattice.","authors_text":"A. R. Bishop, Avadh Saxena, K. J. H. Law, P. G. Kevrekidis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2009-02-13T20:18:18Z","title":"Localized structures in Kagome lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.2385","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:d83cf045287c909213ba9ee10494de703c5997a4292eea97bec368db1983920b","target":"record","created_at":"2026-05-18T02:14:47Z","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":"d854472266749f9793423786940508d978423ec250a01ba8f56a417cc9d192a6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2009-02-13T20:18:18Z","title_canon_sha256":"cc5cb25ed7b394efa973655e6a888c4add68adcb5a00475fae602b0b154d77e7"},"schema_version":"1.0","source":{"id":"0902.2385","kind":"arxiv","version":1}},"canonical_sha256":"e8079adcb247bcd45b177eb6adb322cce57f63f239a75818848b33a05310c3ef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8079adcb247bcd45b177eb6adb322cce57f63f239a75818848b33a05310c3ef","first_computed_at":"2026-05-18T02:14:47.914328Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:14:47.914328Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tEBui7ZrC3CYGEXHdiwxCsSluws5lJIOVznfarzEmoSR+WNFVLq07CcdoKdgC1ndSjBtYlghXV6UpS108ujPCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:14:47.914984Z","signed_message":"canonical_sha256_bytes"},"source_id":"0902.2385","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d83cf045287c909213ba9ee10494de703c5997a4292eea97bec368db1983920b","sha256:a33c5736fcfc192563cdb48095704a699023dce18ea1fe245528b435c9d590ad"],"state_sha256":"fa0defa95dfa626176d992228f5a051126dd8f1ae3b677a8e5dd15d55aa01b89"}