{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SSY53BVH43O7KHNXQABCHMPR45","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":"e99552499e0017390993295a705453750fa434b9c07bb9e06343dfde3f45760c","cross_cats_sorted":["physics.optics","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-05-04T09:33:57Z","title_canon_sha256":"4d42e9d54e33de54548f4a06e2e337dcf05f2d3bd51d697a6d043bca6566cf15"},"schema_version":"1.0","source":{"id":"1705.01761","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.01761","created_at":"2026-05-18T00:43:43Z"},{"alias_kind":"arxiv_version","alias_value":"1705.01761v1","created_at":"2026-05-18T00:43:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.01761","created_at":"2026-05-18T00:43:43Z"},{"alias_kind":"pith_short_12","alias_value":"SSY53BVH43O7","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SSY53BVH43O7KHNX","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SSY53BVH","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:0bc58f3007296dbdbec5313d4d925f9f1369734969b3827edc9669c289097cb2","target":"graph","created_at":"2026-05-18T00:43:43Z","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"},"paper":{"abstract_excerpt":"Recent studies have demonstrated that defocusing cubic nonlinearity with local strength growing from the center to the periphery faster than $r^{D}$, in space of dimension $D$ with radial coordinate $r$, supports a vast variety of robust bright solitons. In the framework of the same model, but with a weaker spatial-growth rate, $\\sim r^{\\alpha }$ with $\\alpha \\leq D$, we here test the possibility to create stable\\textit{\\ localized continuous waves} (LCWs) in one- and two-dimensional (1D and 2D) geometries, \\textit{% localized dark solitons} (LDSs) in 1D, and \\textit{localized dark vortices} (","authors_text":"Boris A. Malomed, Jianhua Zeng","cross_cats":["physics.optics","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-05-04T09:33:57Z","title":"Localized dark solitons and vortices in defocusing media with spatially inhomogeneous nonlinearity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.01761","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:c73225d19135912e567ab829400767bdcc51fca4df6d8ca4c494808e650b4a5c","target":"record","created_at":"2026-05-18T00:43:43Z","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":"e99552499e0017390993295a705453750fa434b9c07bb9e06343dfde3f45760c","cross_cats_sorted":["physics.optics","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-05-04T09:33:57Z","title_canon_sha256":"4d42e9d54e33de54548f4a06e2e337dcf05f2d3bd51d697a6d043bca6566cf15"},"schema_version":"1.0","source":{"id":"1705.01761","kind":"arxiv","version":1}},"canonical_sha256":"94b1dd86a7e6ddf51db7800223b1f1e76b0a6b3e65b2c3a2d59299eb21a73375","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94b1dd86a7e6ddf51db7800223b1f1e76b0a6b3e65b2c3a2d59299eb21a73375","first_computed_at":"2026-05-18T00:43:43.110556Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:43.110556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x7hj9Dq2bWXo2KXkpdNltqJajBhvHY5hfZW9HZLWFjtMgS5VDwKs4wMReJfizKNFmYunoPLCa4UFBkQsP/KZAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:43.111007Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.01761","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c73225d19135912e567ab829400767bdcc51fca4df6d8ca4c494808e650b4a5c","sha256:0bc58f3007296dbdbec5313d4d925f9f1369734969b3827edc9669c289097cb2"],"state_sha256":"123b1eb129c71fa9078bd0cd927b990b211b38b41599cd35762c83433fb4c391"}