{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:H6LYL56QORCQNR5G4SCCODUJBW","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":"7ebca792ff5f8a8bd3c0ea33e2638752aaebb9b179742c28d9f4ef207ccb0657","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-03-19T20:38:24Z","title_canon_sha256":"dd7d93e1f0a9366c80502e3ec2ad749f08d7ae91aa1b6f6645238e6cf30f094f"},"schema_version":"1.0","source":{"id":"0903.3418","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.3418","created_at":"2026-05-18T02:14:27Z"},{"alias_kind":"arxiv_version","alias_value":"0903.3418v1","created_at":"2026-05-18T02:14:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.3418","created_at":"2026-05-18T02:14:27Z"},{"alias_kind":"pith_short_12","alias_value":"H6LYL56QORCQ","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"H6LYL56QORCQNR5G","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"H6LYL56Q","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:105dea0fa66682aff1971fe1b5842ca6e7698320ca6c70f32e9d8432df3c6ce0","target":"graph","created_at":"2026-05-18T02:14:27Z","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":"We use a discrete multiscale analysis to study the asymptotic integrability of differential-difference equations. In particular, we show that multiscale perturbation techniques provide an analytic tool to derive necessary integrability conditions for two well-known discretizations of the nonlinear Schroedinger equation.","authors_text":"C. Scimiterna, D. Levi, M. Petrera","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-03-19T20:38:24Z","title":"Multiscale reduction of discrete nonlinear Schroedinger equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.3418","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:aad2aeff56972b37ab9f3da722f9be71e8804917259e9d215423bedb94e1c703","target":"record","created_at":"2026-05-18T02:14:27Z","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":"7ebca792ff5f8a8bd3c0ea33e2638752aaebb9b179742c28d9f4ef207ccb0657","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-03-19T20:38:24Z","title_canon_sha256":"dd7d93e1f0a9366c80502e3ec2ad749f08d7ae91aa1b6f6645238e6cf30f094f"},"schema_version":"1.0","source":{"id":"0903.3418","kind":"arxiv","version":1}},"canonical_sha256":"3f9785f7d0744506c7a6e484270e890dba5d5865c496c823ca61b86af021ae1f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f9785f7d0744506c7a6e484270e890dba5d5865c496c823ca61b86af021ae1f","first_computed_at":"2026-05-18T02:14:27.189451Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:14:27.189451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xax7wCm7OUseeyUxP6J74bJzzCQTeJ9FVG6toO+TCAVQOfM2G9Rp/KduojBJRszv/6q54cgQReJsDrUEjAfSAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:14:27.190049Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.3418","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aad2aeff56972b37ab9f3da722f9be71e8804917259e9d215423bedb94e1c703","sha256:105dea0fa66682aff1971fe1b5842ca6e7698320ca6c70f32e9d8432df3c6ce0"],"state_sha256":"5baa66365edd6983546fa1bc73b1d7cab8c3996c6f6f299100e43c90e3753d47"}