{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:EDRN3QEFFB3F6OZ2CF5N6WCTOZ","short_pith_number":"pith:EDRN3QEF","schema_version":"1.0","canonical_sha256":"20e2ddc08528765f3b3a117adf585376649bfbed2599ca66b0d05479fdfd2eaf","source":{"kind":"arxiv","id":"2304.02078","version":2},"attestation_state":"computed","paper":{"title":"On stability of self-similar blowup for mass supercritical NLS","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Zexing Li","submitted_at":"2023-04-04T19:08:51Z","abstract_excerpt":"We consider the mass supercritical (NLS) in dimension $d\\ge 1$ in the mass-supercritical range. The existence of self-similar blow up dyamics is known [Merle-Rapha\\\"el-Szeftel, 2010], and suitable self-similar blow up profiles were constructed [Bahri-Martel-Rapha\\\"el, 2021]. In this work, we prove the finite codimensional nonlinear asymptotic stability of a large class of self-similar profiles. The heart of the proof is, following the approach of Beceanu [Beceanu, 2011], the derivation of Strichartz dispersive estimates for matrix operators with a deformed Laplacian $\\Delta_b = \\Delta + ib\\lef"},"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":"2304.02078","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-04-04T19:08:51Z","cross_cats_sorted":[],"title_canon_sha256":"98f6881017136b773583cf862f60afe78f8a71cf4c6a231c5d60e79f89cb4b44","abstract_canon_sha256":"939e486d511abe408b86216fc6a362be68aa21a7c396d925677c70a5a9b0ec2b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:54:22.737043Z","signature_b64":"6I7sTA5i2uPaa0UjIu/byX/GaBbG6Ue2UJlCSQRlDASP1ecPZpEAm3fePExzrSA8zOrE74tXLq6q5+TlNwClDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20e2ddc08528765f3b3a117adf585376649bfbed2599ca66b0d05479fdfd2eaf","last_reissued_at":"2026-07-05T09:54:22.736541Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:54:22.736541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On stability of self-similar blowup for mass supercritical NLS","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Zexing Li","submitted_at":"2023-04-04T19:08:51Z","abstract_excerpt":"We consider the mass supercritical (NLS) in dimension $d\\ge 1$ in the mass-supercritical range. The existence of self-similar blow up dyamics is known [Merle-Rapha\\\"el-Szeftel, 2010], and suitable self-similar blow up profiles were constructed [Bahri-Martel-Rapha\\\"el, 2021]. In this work, we prove the finite codimensional nonlinear asymptotic stability of a large class of self-similar profiles. The heart of the proof is, following the approach of Beceanu [Beceanu, 2011], the derivation of Strichartz dispersive estimates for matrix operators with a deformed Laplacian $\\Delta_b = \\Delta + ib\\lef"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.02078","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/2304.02078/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":"2304.02078","created_at":"2026-07-05T09:54:22.736610+00:00"},{"alias_kind":"arxiv_version","alias_value":"2304.02078v2","created_at":"2026-07-05T09:54:22.736610+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.02078","created_at":"2026-07-05T09:54:22.736610+00:00"},{"alias_kind":"pith_short_12","alias_value":"EDRN3QEFFB3F","created_at":"2026-07-05T09:54:22.736610+00:00"},{"alias_kind":"pith_short_16","alias_value":"EDRN3QEFFB3F6OZ2","created_at":"2026-07-05T09:54:22.736610+00:00"},{"alias_kind":"pith_short_8","alias_value":"EDRN3QEF","created_at":"2026-07-05T09:54:22.736610+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.11259","citing_title":"Mode stability for self-similar blowup of slightly supercritical NLS: II. high-energy spectrum","ref_index":18,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EDRN3QEFFB3F6OZ2CF5N6WCTOZ","json":"https://pith.science/pith/EDRN3QEFFB3F6OZ2CF5N6WCTOZ.json","graph_json":"https://pith.science/api/pith-number/EDRN3QEFFB3F6OZ2CF5N6WCTOZ/graph.json","events_json":"https://pith.science/api/pith-number/EDRN3QEFFB3F6OZ2CF5N6WCTOZ/events.json","paper":"https://pith.science/paper/EDRN3QEF"},"agent_actions":{"view_html":"https://pith.science/pith/EDRN3QEFFB3F6OZ2CF5N6WCTOZ","download_json":"https://pith.science/pith/EDRN3QEFFB3F6OZ2CF5N6WCTOZ.json","view_paper":"https://pith.science/paper/EDRN3QEF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2304.02078&json=true","fetch_graph":"https://pith.science/api/pith-number/EDRN3QEFFB3F6OZ2CF5N6WCTOZ/graph.json","fetch_events":"https://pith.science/api/pith-number/EDRN3QEFFB3F6OZ2CF5N6WCTOZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EDRN3QEFFB3F6OZ2CF5N6WCTOZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EDRN3QEFFB3F6OZ2CF5N6WCTOZ/action/storage_attestation","attest_author":"https://pith.science/pith/EDRN3QEFFB3F6OZ2CF5N6WCTOZ/action/author_attestation","sign_citation":"https://pith.science/pith/EDRN3QEFFB3F6OZ2CF5N6WCTOZ/action/citation_signature","submit_replication":"https://pith.science/pith/EDRN3QEFFB3F6OZ2CF5N6WCTOZ/action/replication_record"}},"created_at":"2026-07-05T09:54:22.736610+00:00","updated_at":"2026-07-05T09:54:22.736610+00:00"}