{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:PV6MQUFG6WJRMBWYJ4ITGVKXBX","short_pith_number":"pith:PV6MQUFG","schema_version":"1.0","canonical_sha256":"7d7cc850a6f5931606d84f113355570dff8ed0ea640a5275945d12b885d0f735","source":{"kind":"arxiv","id":"1207.1911","version":2},"attestation_state":"computed","paper":{"title":"Wave Packets and Coherent Structures for Nonlinear Schroedinger equations in Variable Nonuniform Media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Alex Mahalov, Sergei K. Suslov","submitted_at":"2012-07-08T20:38:58Z","abstract_excerpt":"We determine conditions under which a generic gauge invariant nonautonomous and inhomogeneous nonlinear partial differential equation in the two-dimensional space-time continuum can be transform into standard autonomous forms. In addition to the nonlinear Schroedinger equation, important examples include the derivative nonlinear Schroedinger equation, the quintic complex Ginzburg-Landau equation, and the Gerdjikov-Ivanov equation. This approach provides a mathematical description of nonstationary media supporting unidimensional signal propagation and/or total field trapping. In particular, we "},"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":"1207.1911","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-07-08T20:38:58Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"c9fdaf3291e3daccf539a3285663e2e25be24daed94704c7eb72248c779b49e2","abstract_canon_sha256":"b4678bd008c8f739f4a12d8dbd8ba65f480af10b51ef1d06681f6101a4977ef7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:50:48.066679Z","signature_b64":"dS1JZpG3b4/qjIbNEHGFCd8h8OC9eiwkzL1eMxKDSDK7h4UkVuiyGKiZ50XNwppd1b2XhUa4/g4/XKAvHrWRDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d7cc850a6f5931606d84f113355570dff8ed0ea640a5275945d12b885d0f735","last_reissued_at":"2026-05-18T03:50:48.066008Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:50:48.066008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Wave Packets and Coherent Structures for Nonlinear Schroedinger equations in Variable Nonuniform Media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Alex Mahalov, Sergei K. Suslov","submitted_at":"2012-07-08T20:38:58Z","abstract_excerpt":"We determine conditions under which a generic gauge invariant nonautonomous and inhomogeneous nonlinear partial differential equation in the two-dimensional space-time continuum can be transform into standard autonomous forms. In addition to the nonlinear Schroedinger equation, important examples include the derivative nonlinear Schroedinger equation, the quintic complex Ginzburg-Landau equation, and the Gerdjikov-Ivanov equation. This approach provides a mathematical description of nonstationary media supporting unidimensional signal propagation and/or total field trapping. In particular, we "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1911","kind":"arxiv","version":2},"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":"1207.1911","created_at":"2026-05-18T03:50:48.066104+00:00"},{"alias_kind":"arxiv_version","alias_value":"1207.1911v2","created_at":"2026-05-18T03:50:48.066104+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1911","created_at":"2026-05-18T03:50:48.066104+00:00"},{"alias_kind":"pith_short_12","alias_value":"PV6MQUFG6WJR","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"PV6MQUFG6WJRMBWY","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"PV6MQUFG","created_at":"2026-05-18T12:27:18.751474+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/PV6MQUFG6WJRMBWYJ4ITGVKXBX","json":"https://pith.science/pith/PV6MQUFG6WJRMBWYJ4ITGVKXBX.json","graph_json":"https://pith.science/api/pith-number/PV6MQUFG6WJRMBWYJ4ITGVKXBX/graph.json","events_json":"https://pith.science/api/pith-number/PV6MQUFG6WJRMBWYJ4ITGVKXBX/events.json","paper":"https://pith.science/paper/PV6MQUFG"},"agent_actions":{"view_html":"https://pith.science/pith/PV6MQUFG6WJRMBWYJ4ITGVKXBX","download_json":"https://pith.science/pith/PV6MQUFG6WJRMBWYJ4ITGVKXBX.json","view_paper":"https://pith.science/paper/PV6MQUFG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1207.1911&json=true","fetch_graph":"https://pith.science/api/pith-number/PV6MQUFG6WJRMBWYJ4ITGVKXBX/graph.json","fetch_events":"https://pith.science/api/pith-number/PV6MQUFG6WJRMBWYJ4ITGVKXBX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PV6MQUFG6WJRMBWYJ4ITGVKXBX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PV6MQUFG6WJRMBWYJ4ITGVKXBX/action/storage_attestation","attest_author":"https://pith.science/pith/PV6MQUFG6WJRMBWYJ4ITGVKXBX/action/author_attestation","sign_citation":"https://pith.science/pith/PV6MQUFG6WJRMBWYJ4ITGVKXBX/action/citation_signature","submit_replication":"https://pith.science/pith/PV6MQUFG6WJRMBWYJ4ITGVKXBX/action/replication_record"}},"created_at":"2026-05-18T03:50:48.066104+00:00","updated_at":"2026-05-18T03:50:48.066104+00:00"}