{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:JSAI25HLV2KR6L7FIS4REJLOXO","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":"5e9d7a6ca197e219d98a6afb3f1b653c6e7427842a66e376fddb3127f22d0e89","cross_cats_sorted":[],"license":"","primary_cat":"nlin.SI","submitted_at":"2005-07-05T08:23:55Z","title_canon_sha256":"c3dbe585009b17df37726a8f539c35400c6ed72a7567d0e3dedc3c996a8d96a6"},"schema_version":"1.0","source":{"id":"nlin/0507008","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0507008","created_at":"2026-07-04T16:56:43Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0507008v2","created_at":"2026-07-04T16:56:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0507008","created_at":"2026-07-04T16:56:43Z"},{"alias_kind":"pith_short_12","alias_value":"JSAI25HLV2KR","created_at":"2026-07-04T16:56:43Z"},{"alias_kind":"pith_short_16","alias_value":"JSAI25HLV2KR6L7F","created_at":"2026-07-04T16:56:43Z"},{"alias_kind":"pith_short_8","alias_value":"JSAI25HL","created_at":"2026-07-04T16:56:43Z"}],"graph_snapshots":[{"event_id":"sha256:75c2f77383e824e6ed0d05568270f25278e447e835b00bb2d74513306b5450b8","target":"graph","created_at":"2026-07-04T16:56:43Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/nlin/0507008/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Lie point symmetries of the 2+1-dimensional cubic Schr\\\"odinger equation to obtain new analytic solutions in a systematic manner. We present an analysis of the reduced ODEs, and in particular show that although the original equation is not integrable they typically can belong to the class of Painlev\\'e type equations.","authors_text":"C. Ozemir, F. Gungor","cross_cats":[],"headline":"","license":"","primary_cat":"nlin.SI","submitted_at":"2005-07-05T08:23:55Z","title":"Group-invariant Solutions of the 2+1-dimensional Cubic Schr\\\"odinger Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0507008","kind":"arxiv","version":2},"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:eb5a13ccf3b4da70a28433c982c8906d415bb1d51990f89bd9d0effe866203ff","target":"record","created_at":"2026-07-04T16:56:43Z","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":"5e9d7a6ca197e219d98a6afb3f1b653c6e7427842a66e376fddb3127f22d0e89","cross_cats_sorted":[],"license":"","primary_cat":"nlin.SI","submitted_at":"2005-07-05T08:23:55Z","title_canon_sha256":"c3dbe585009b17df37726a8f539c35400c6ed72a7567d0e3dedc3c996a8d96a6"},"schema_version":"1.0","source":{"id":"nlin/0507008","kind":"arxiv","version":2}},"canonical_sha256":"4c808d74ebae951f2fe544b912256ebba28c479e9b3b52b2c190ec269e8c761b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c808d74ebae951f2fe544b912256ebba28c479e9b3b52b2c190ec269e8c761b","first_computed_at":"2026-07-04T16:56:43.709033Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:56:43.709033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wwBpcan8UAqK8Qjr2C/N1MgO69oLYFeIp4CqJJ0QkZ4n5eS5g3oxPyNW8LSlVZyplkaWTkRNvQKc0JnacAHCBA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:56:43.709445Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0507008","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb5a13ccf3b4da70a28433c982c8906d415bb1d51990f89bd9d0effe866203ff","sha256:75c2f77383e824e6ed0d05568270f25278e447e835b00bb2d74513306b5450b8"],"state_sha256":"2293b15711b934970af69caf0a649fd4dc63e34a53b238cd963b982a0fb42e76"}