{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:H6LYL56QORCQNR5G4SCCODUJBW","short_pith_number":"pith:H6LYL56Q","canonical_record":{"source":{"id":"0903.3418","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-03-19T20:38:24Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"dd7d93e1f0a9366c80502e3ec2ad749f08d7ae91aa1b6f6645238e6cf30f094f","abstract_canon_sha256":"7ebca792ff5f8a8bd3c0ea33e2638752aaebb9b179742c28d9f4ef207ccb0657"},"schema_version":"1.0"},"canonical_sha256":"3f9785f7d0744506c7a6e484270e890dba5d5865c496c823ca61b86af021ae1f","source":{"kind":"arxiv","id":"0903.3418","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:H6LYL56QORCQNR5G4SCCODUJBW","target":"record","payload":{"canonical_record":{"source":{"id":"0903.3418","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-03-19T20:38:24Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"dd7d93e1f0a9366c80502e3ec2ad749f08d7ae91aa1b6f6645238e6cf30f094f","abstract_canon_sha256":"7ebca792ff5f8a8bd3c0ea33e2638752aaebb9b179742c28d9f4ef207ccb0657"},"schema_version":"1.0"},"canonical_sha256":"3f9785f7d0744506c7a6e484270e890dba5d5865c496c823ca61b86af021ae1f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:14:27.190049Z","signature_b64":"xax7wCm7OUseeyUxP6J74bJzzCQTeJ9FVG6toO+TCAVQOfM2G9Rp/KduojBJRszv/6q54cgQReJsDrUEjAfSAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f9785f7d0744506c7a6e484270e890dba5d5865c496c823ca61b86af021ae1f","last_reissued_at":"2026-05-18T02:14:27.189451Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:14:27.189451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0903.3418","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:14:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p+I7TPEP9Wi/gkCulXP2SJQ2q4RNwT1ZgwinBykOZL/N3H9KHswj2enel3J6ekZEISWQU7ENq3uDgwdVdgSRDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T01:00:52.191619Z"},"content_sha256":"aad2aeff56972b37ab9f3da722f9be71e8804917259e9d215423bedb94e1c703","schema_version":"1.0","event_id":"sha256:aad2aeff56972b37ab9f3da722f9be71e8804917259e9d215423bedb94e1c703"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:H6LYL56QORCQNR5G4SCCODUJBW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multiscale reduction of discrete nonlinear Schroedinger equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"C. Scimiterna, D. Levi, M. Petrera","submitted_at":"2009-03-19T20:38:24Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.3418","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:14:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MV6At13XX052SpGtIdfqAxG4gMucU7Y2Z5hVViluyWw23E+dBlfDsuf9zfI/jg+3auVxDpT/gTFfUrOXlkvlBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T01:00:52.191964Z"},"content_sha256":"105dea0fa66682aff1971fe1b5842ca6e7698320ca6c70f32e9d8432df3c6ce0","schema_version":"1.0","event_id":"sha256:105dea0fa66682aff1971fe1b5842ca6e7698320ca6c70f32e9d8432df3c6ce0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H6LYL56QORCQNR5G4SCCODUJBW/bundle.json","state_url":"https://pith.science/pith/H6LYL56QORCQNR5G4SCCODUJBW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H6LYL56QORCQNR5G4SCCODUJBW/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-24T01:00:52Z","links":{"resolver":"https://pith.science/pith/H6LYL56QORCQNR5G4SCCODUJBW","bundle":"https://pith.science/pith/H6LYL56QORCQNR5G4SCCODUJBW/bundle.json","state":"https://pith.science/pith/H6LYL56QORCQNR5G4SCCODUJBW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H6LYL56QORCQNR5G4SCCODUJBW/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IKXKGFG7A08DGEEZ1N+hE3/4C7Cp7cUu++xD6NVqNO4+X1sFYdB573OcAn0PqQ9Pbqgb9kEST8yWGH2v+inzDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T01:00:52.193922Z","bundle_sha256":"2b5223983782d5eb5edca12b7b274e837d0121e5a2e6bd4d4d709c84baf22c96"}}