{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:BGMUQRM3UBABRT2JYTVTD5UH2S","short_pith_number":"pith:BGMUQRM3","schema_version":"1.0","canonical_sha256":"099948459ba04018cf49c4eb31f687d4a6d2b2b2b61d23526db0d07a6af3208e","source":{"kind":"arxiv","id":"2601.05938","version":2},"attestation_state":"computed","paper":{"title":"Evolution of localized pulses in the defocusing modified Korteweg-de Vries equation theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"A. Gammal, A. M. Kamchatnov, L. F. Calazans de Brito","submitted_at":"2026-01-09T16:49:54Z","abstract_excerpt":"In this work, we develop, in the Gurevich-Pitaevskii framework, an analytic theory for the evolution of localized pulses in the defocusing modified Korteweg-de Vries equation theory for situations when a dispersive shock does not eventually transform into a sequence of well-separated solitons. We found solutions to the Whitham modulation equations for the corresponding so-called \"quasi-simple\" dispersive shock waves and illustrated this solution with concrete examples of an initial pulse. Comparison of the analytical solution with direct numerical simulations showed that the modulation theory "},"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":"2601.05938","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.PS","submitted_at":"2026-01-09T16:49:54Z","cross_cats_sorted":[],"title_canon_sha256":"b98a95bff63c47239e1442430aed95355833d5b2781bf8be8d8c00d4a7218312","abstract_canon_sha256":"870e3b3df5e96d8f9456552c03380d1eec93a80685ce83e4860b8857b1d33a95"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-01T01:02:28.951137Z","signature_b64":"ubjdxwSCZ+9gdizAhjIPMaWCTj3leJfncEIp294aVFxtm+3PoolDrWq6qfpjBh6vHrAm4NTyTIeGMIZaRvi4Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"099948459ba04018cf49c4eb31f687d4a6d2b2b2b61d23526db0d07a6af3208e","last_reissued_at":"2026-06-01T01:02:28.950025Z","signature_status":"signed_v1","first_computed_at":"2026-06-01T01:02:28.950025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Evolution of localized pulses in the defocusing modified Korteweg-de Vries equation theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"A. Gammal, A. M. Kamchatnov, L. F. Calazans de Brito","submitted_at":"2026-01-09T16:49:54Z","abstract_excerpt":"In this work, we develop, in the Gurevich-Pitaevskii framework, an analytic theory for the evolution of localized pulses in the defocusing modified Korteweg-de Vries equation theory for situations when a dispersive shock does not eventually transform into a sequence of well-separated solitons. We found solutions to the Whitham modulation equations for the corresponding so-called \"quasi-simple\" dispersive shock waves and illustrated this solution with concrete examples of an initial pulse. Comparison of the analytical solution with direct numerical simulations showed that the modulation theory "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.05938","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2601.05938/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2601.05938","created_at":"2026-06-01T01:02:28.950174+00:00"},{"alias_kind":"arxiv_version","alias_value":"2601.05938v2","created_at":"2026-06-01T01:02:28.950174+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.05938","created_at":"2026-06-01T01:02:28.950174+00:00"},{"alias_kind":"pith_short_12","alias_value":"BGMUQRM3UBAB","created_at":"2026-06-01T01:02:28.950174+00:00"},{"alias_kind":"pith_short_16","alias_value":"BGMUQRM3UBABRT2J","created_at":"2026-06-01T01:02:28.950174+00:00"},{"alias_kind":"pith_short_8","alias_value":"BGMUQRM3","created_at":"2026-06-01T01:02:28.950174+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/BGMUQRM3UBABRT2JYTVTD5UH2S","json":"https://pith.science/pith/BGMUQRM3UBABRT2JYTVTD5UH2S.json","graph_json":"https://pith.science/api/pith-number/BGMUQRM3UBABRT2JYTVTD5UH2S/graph.json","events_json":"https://pith.science/api/pith-number/BGMUQRM3UBABRT2JYTVTD5UH2S/events.json","paper":"https://pith.science/paper/BGMUQRM3"},"agent_actions":{"view_html":"https://pith.science/pith/BGMUQRM3UBABRT2JYTVTD5UH2S","download_json":"https://pith.science/pith/BGMUQRM3UBABRT2JYTVTD5UH2S.json","view_paper":"https://pith.science/paper/BGMUQRM3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2601.05938&json=true","fetch_graph":"https://pith.science/api/pith-number/BGMUQRM3UBABRT2JYTVTD5UH2S/graph.json","fetch_events":"https://pith.science/api/pith-number/BGMUQRM3UBABRT2JYTVTD5UH2S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BGMUQRM3UBABRT2JYTVTD5UH2S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BGMUQRM3UBABRT2JYTVTD5UH2S/action/storage_attestation","attest_author":"https://pith.science/pith/BGMUQRM3UBABRT2JYTVTD5UH2S/action/author_attestation","sign_citation":"https://pith.science/pith/BGMUQRM3UBABRT2JYTVTD5UH2S/action/citation_signature","submit_replication":"https://pith.science/pith/BGMUQRM3UBABRT2JYTVTD5UH2S/action/replication_record"}},"created_at":"2026-06-01T01:02:28.950174+00:00","updated_at":"2026-06-01T01:02:28.950174+00:00"}