{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2S45LQIDVNUMJ542JDJTTP2JKK","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":"72ed0c64f4a27b72da3d99750a6d9a0910b8a365c170d1e63243af790a49f166","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-10-08T23:02:09Z","title_canon_sha256":"50b15cabf6bc52f64a01842a39b28621ffbe6364970950f0b6c5bde9ed7953f7"},"schema_version":"1.0","source":{"id":"1610.02594","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.02594","created_at":"2026-05-18T01:02:51Z"},{"alias_kind":"arxiv_version","alias_value":"1610.02594v1","created_at":"2026-05-18T01:02:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.02594","created_at":"2026-05-18T01:02:51Z"},{"alias_kind":"pith_short_12","alias_value":"2S45LQIDVNUM","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2S45LQIDVNUMJ542","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2S45LQID","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:9003be8f90f32a6416ff4288b37dd7e60a8d395922db35d0b114d5a31f683f6f","target":"graph","created_at":"2026-05-18T01:02:51Z","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":"A nonlocal nonlinear Schr\\\"odinger (NLS) equation was recently found by the authors and shown to be an integrable infinite dimensional Hamiltonian equation. Unlike the classical (local) case, here the nonlinearly induced \"potential\" is $PT$ symmetric thus the nonlocal NLS equation is also $PT$ symmetric. In this paper, new {\\it reverse space-time} and {\\it reverse time} nonlocal nonlinear integrable equations are introduced. They arise from remarkably simple symmetry reductions of general AKNS scattering problems where the nonlocality appears in both space and time or time alone. They are inte","authors_text":"Mark J. Ablowitz, Ziad H. Musslimani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-10-08T23:02:09Z","title":"Integrable nonlocal nonlinear equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.02594","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:c8f264bf89bd7b19706161b6f7366f3e4b0cef2bc0e2fbea408d13f8f51c6ecb","target":"record","created_at":"2026-05-18T01:02:51Z","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":"72ed0c64f4a27b72da3d99750a6d9a0910b8a365c170d1e63243af790a49f166","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2016-10-08T23:02:09Z","title_canon_sha256":"50b15cabf6bc52f64a01842a39b28621ffbe6364970950f0b6c5bde9ed7953f7"},"schema_version":"1.0","source":{"id":"1610.02594","kind":"arxiv","version":1}},"canonical_sha256":"d4b9d5c103ab68c4f79a48d339bf49529a5c077c8b7652c9f0f49887bda79c00","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4b9d5c103ab68c4f79a48d339bf49529a5c077c8b7652c9f0f49887bda79c00","first_computed_at":"2026-05-18T01:02:51.174352Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:51.174352Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IdsMJFc1z7YRNVxzs4+qn2UEr0OUKX6KTFJi0iEg4uUEqFwScowOudKHOMsVadXD2dqj+0c3x/YfVmYBy8mwAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:51.174781Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.02594","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8f264bf89bd7b19706161b6f7366f3e4b0cef2bc0e2fbea408d13f8f51c6ecb","sha256:9003be8f90f32a6416ff4288b37dd7e60a8d395922db35d0b114d5a31f683f6f"],"state_sha256":"9610147b38029171b47aac9d18a191f5bb1707dd99beb849dca5137fa84dc057"}