{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:NJKNHLEWMXZ5VFT6GZOAMVB6K5","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":"2b07320c86165fe6c089add52887f2c41fe8136bd2090c89f1120daf49410d72","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2024-12-30T19:41:20Z","title_canon_sha256":"40aadbaf21b4be67b12ae3e8b6e8e5c5ea3b33c0575a8dbb5af6d970516268fb"},"schema_version":"1.0","source":{"id":"2501.00121","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.00121","created_at":"2026-07-05T09:55:39Z"},{"alias_kind":"arxiv_version","alias_value":"2501.00121v1","created_at":"2026-07-05T09:55:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.00121","created_at":"2026-07-05T09:55:39Z"},{"alias_kind":"pith_short_12","alias_value":"NJKNHLEWMXZ5","created_at":"2026-07-05T09:55:39Z"},{"alias_kind":"pith_short_16","alias_value":"NJKNHLEWMXZ5VFT6","created_at":"2026-07-05T09:55:39Z"},{"alias_kind":"pith_short_8","alias_value":"NJKNHLEW","created_at":"2026-07-05T09:55:39Z"}],"graph_snapshots":[{"event_id":"sha256:fa557ca190bafbb8ed0569c339d1739930f93169157d50ab0451fd739c73bc7d","target":"graph","created_at":"2026-07-05T09:55:39Z","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/2501.00121/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The focus of this work is on a class of solutions of the defocusing Ablowitz-Ladik lattice on an arbitrarily large background which are discrete analogs of the Kuznetsov-Ma (KM) breathers of the focusing nonlinear Schrodinger equation. One such solution was obtained in 2019 as a byproduct of the Inverse Scattering Transform, and it was observed that the solution could be regular for certain choices of the soliton parameters, but its regularity was not analyzed in detail. This work provides a systematic investigation of the conditions on the background and on the spectral parameters that guaran","authors_text":"Barbara Prinari, Efstathios G. Charalampidis, Evans C. Boadi, Nicholas J. Ossi, Panayotis G. Kevrekidis","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2024-12-30T19:41:20Z","title":"On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.00121","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":"sha256:934a77f6d301218899a6c468112fdc04db16ff3c6fbfc94f122e7b518abe7a85","target":"record","created_at":"2026-07-05T09:55:39Z","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":"2b07320c86165fe6c089add52887f2c41fe8136bd2090c89f1120daf49410d72","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2024-12-30T19:41:20Z","title_canon_sha256":"40aadbaf21b4be67b12ae3e8b6e8e5c5ea3b33c0575a8dbb5af6d970516268fb"},"schema_version":"1.0","source":{"id":"2501.00121","kind":"arxiv","version":1}},"canonical_sha256":"6a54d3ac9665f3da967e365c06543e5747b77c98a70dce5b1b1d09b78632d9cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a54d3ac9665f3da967e365c06543e5747b77c98a70dce5b1b1d09b78632d9cb","first_computed_at":"2026-07-05T09:55:39.405666Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:55:39.405666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e7m9Rl7v3m5Xi6oCBOe8DJsZegRa3zNgzF+4EdeY0EDdl92goT3XGC7E+YQHgeU+fx1EjgS+Kcxny7MTGHJxCw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:55:39.406124Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.00121","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:934a77f6d301218899a6c468112fdc04db16ff3c6fbfc94f122e7b518abe7a85","sha256:fa557ca190bafbb8ed0569c339d1739930f93169157d50ab0451fd739c73bc7d"],"state_sha256":"889e25139ef38ccd47c05a0f2e13f38916fb2dda273a253afbd8e20ebc79faef"}