{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:BGPI4ULWVNFROUJTOKE6LI44EP","short_pith_number":"pith:BGPI4ULW","schema_version":"1.0","canonical_sha256":"099e8e5176ab4b1751337289e5a39c23c6350d4ff04692bb005777d526bfb4f1","source":{"kind":"arxiv","id":"1806.10898","version":3},"attestation_state":"computed","paper":{"title":"Solitary waves in the Ablowitz-Ladik equation with power-law nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"B.A. Malomed, J. Cuevas-Maraver, L. Guo, P.G. Kevrekidis","submitted_at":"2018-06-28T11:55:29Z","abstract_excerpt":"We introduce a generalized version of the Ablowitz-Ladik model with a power-law nonlinearity, as a discretization of the continuum nonlinear Schr\\\"{o}dinger equation with the same type of the nonlinearity. The model opens a way to study the interplay of discreteness and nonlinearity features. We identify stationary discrete-soliton states for different values of nonlinearity power $\\sigma $, and address changes of their stability as frequency $\\omega $ of the standing wave varies for given $\\sigma $. Along with numerical methods, a variational approximation is used to predict the form of the d"},"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":"1806.10898","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2018-06-28T11:55:29Z","cross_cats_sorted":[],"title_canon_sha256":"a6509246fecc71641a238ad008ffb9c462ff5d8158777860c6b9539b9196d46c","abstract_canon_sha256":"cfd0fa918b836adf56d2debd9e7dffd24af00df500344e272066e789914d2096"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:19.142618Z","signature_b64":"Hz9c60YSocUPBsalEaAREyrnfDnNRpFU8vOj4okBAk85RlSsXQ7Z8YQUQ1n1ZY9v3iGRbYA9vwh4gZCWyN3dBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"099e8e5176ab4b1751337289e5a39c23c6350d4ff04692bb005777d526bfb4f1","last_reissued_at":"2026-05-17T23:58:19.142119Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:19.142119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Solitary waves in the Ablowitz-Ladik equation with power-law nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"B.A. Malomed, J. Cuevas-Maraver, L. Guo, P.G. Kevrekidis","submitted_at":"2018-06-28T11:55:29Z","abstract_excerpt":"We introduce a generalized version of the Ablowitz-Ladik model with a power-law nonlinearity, as a discretization of the continuum nonlinear Schr\\\"{o}dinger equation with the same type of the nonlinearity. The model opens a way to study the interplay of discreteness and nonlinearity features. We identify stationary discrete-soliton states for different values of nonlinearity power $\\sigma $, and address changes of their stability as frequency $\\omega $ of the standing wave varies for given $\\sigma $. Along with numerical methods, a variational approximation is used to predict the form of the d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.10898","kind":"arxiv","version":3},"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":"1806.10898","created_at":"2026-05-17T23:58:19.142196+00:00"},{"alias_kind":"arxiv_version","alias_value":"1806.10898v3","created_at":"2026-05-17T23:58:19.142196+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.10898","created_at":"2026-05-17T23:58:19.142196+00:00"},{"alias_kind":"pith_short_12","alias_value":"BGPI4ULWVNFR","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_16","alias_value":"BGPI4ULWVNFROUJT","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_8","alias_value":"BGPI4ULW","created_at":"2026-05-18T12:32:16.446611+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/BGPI4ULWVNFROUJTOKE6LI44EP","json":"https://pith.science/pith/BGPI4ULWVNFROUJTOKE6LI44EP.json","graph_json":"https://pith.science/api/pith-number/BGPI4ULWVNFROUJTOKE6LI44EP/graph.json","events_json":"https://pith.science/api/pith-number/BGPI4ULWVNFROUJTOKE6LI44EP/events.json","paper":"https://pith.science/paper/BGPI4ULW"},"agent_actions":{"view_html":"https://pith.science/pith/BGPI4ULWVNFROUJTOKE6LI44EP","download_json":"https://pith.science/pith/BGPI4ULWVNFROUJTOKE6LI44EP.json","view_paper":"https://pith.science/paper/BGPI4ULW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1806.10898&json=true","fetch_graph":"https://pith.science/api/pith-number/BGPI4ULWVNFROUJTOKE6LI44EP/graph.json","fetch_events":"https://pith.science/api/pith-number/BGPI4ULWVNFROUJTOKE6LI44EP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BGPI4ULWVNFROUJTOKE6LI44EP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BGPI4ULWVNFROUJTOKE6LI44EP/action/storage_attestation","attest_author":"https://pith.science/pith/BGPI4ULWVNFROUJTOKE6LI44EP/action/author_attestation","sign_citation":"https://pith.science/pith/BGPI4ULWVNFROUJTOKE6LI44EP/action/citation_signature","submit_replication":"https://pith.science/pith/BGPI4ULWVNFROUJTOKE6LI44EP/action/replication_record"}},"created_at":"2026-05-17T23:58:19.142196+00:00","updated_at":"2026-05-17T23:58:19.142196+00:00"}