{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:SSY53BVH43O7KHNXQABCHMPR45","short_pith_number":"pith:SSY53BVH","schema_version":"1.0","canonical_sha256":"94b1dd86a7e6ddf51db7800223b1f1e76b0a6b3e65b2c3a2d59299eb21a73375","source":{"kind":"arxiv","id":"1705.01761","version":1},"attestation_state":"computed","paper":{"title":"Localized dark solitons and vortices in defocusing media with spatially inhomogeneous nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.optics","quant-ph"],"primary_cat":"nlin.PS","authors_text":"Boris A. Malomed, Jianhua Zeng","submitted_at":"2017-05-04T09:33:57Z","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} ("},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1705.01761","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-05-04T09:33:57Z","cross_cats_sorted":["physics.optics","quant-ph"],"title_canon_sha256":"4d42e9d54e33de54548f4a06e2e337dcf05f2d3bd51d697a6d043bca6566cf15","abstract_canon_sha256":"e99552499e0017390993295a705453750fa434b9c07bb9e06343dfde3f45760c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:43.111007Z","signature_b64":"x7hj9Dq2bWXo2KXkpdNltqJajBhvHY5hfZW9HZLWFjtMgS5VDwKs4wMReJfizKNFmYunoPLCa4UFBkQsP/KZAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94b1dd86a7e6ddf51db7800223b1f1e76b0a6b3e65b2c3a2d59299eb21a73375","last_reissued_at":"2026-05-18T00:43:43.110556Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:43.110556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Localized dark solitons and vortices in defocusing media with spatially inhomogeneous nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.optics","quant-ph"],"primary_cat":"nlin.PS","authors_text":"Boris A. Malomed, Jianhua Zeng","submitted_at":"2017-05-04T09:33:57Z","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} ("},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.01761","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1705.01761","created_at":"2026-05-18T00:43:43.110638+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.01761v1","created_at":"2026-05-18T00:43:43.110638+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.01761","created_at":"2026-05-18T00:43:43.110638+00:00"},{"alias_kind":"pith_short_12","alias_value":"SSY53BVH43O7","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"SSY53BVH43O7KHNX","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"SSY53BVH","created_at":"2026-05-18T12:31:43.269735+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SSY53BVH43O7KHNXQABCHMPR45","json":"https://pith.science/pith/SSY53BVH43O7KHNXQABCHMPR45.json","graph_json":"https://pith.science/api/pith-number/SSY53BVH43O7KHNXQABCHMPR45/graph.json","events_json":"https://pith.science/api/pith-number/SSY53BVH43O7KHNXQABCHMPR45/events.json","paper":"https://pith.science/paper/SSY53BVH"},"agent_actions":{"view_html":"https://pith.science/pith/SSY53BVH43O7KHNXQABCHMPR45","download_json":"https://pith.science/pith/SSY53BVH43O7KHNXQABCHMPR45.json","view_paper":"https://pith.science/paper/SSY53BVH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.01761&json=true","fetch_graph":"https://pith.science/api/pith-number/SSY53BVH43O7KHNXQABCHMPR45/graph.json","fetch_events":"https://pith.science/api/pith-number/SSY53BVH43O7KHNXQABCHMPR45/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SSY53BVH43O7KHNXQABCHMPR45/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SSY53BVH43O7KHNXQABCHMPR45/action/storage_attestation","attest_author":"https://pith.science/pith/SSY53BVH43O7KHNXQABCHMPR45/action/author_attestation","sign_citation":"https://pith.science/pith/SSY53BVH43O7KHNXQABCHMPR45/action/citation_signature","submit_replication":"https://pith.science/pith/SSY53BVH43O7KHNXQABCHMPR45/action/replication_record"}},"created_at":"2026-05-18T00:43:43.110638+00:00","updated_at":"2026-05-18T00:43:43.110638+00:00"}