{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:5VOLFWHRKLERJMIP6V375O5XJS","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":"62304d1527b969cece7c80972775d92563c0640252202d6823a0a0861413f0d5","cross_cats_sorted":["math.CA","math.FA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-03-06T13:34:00Z","title_canon_sha256":"e9f4857cd27ea87a13c91bb1e1c277a9d5d08ddb17294400370c222e871f330e"},"schema_version":"1.0","source":{"id":"2503.04425","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.04425","created_at":"2026-07-05T10:25:38Z"},{"alias_kind":"arxiv_version","alias_value":"2503.04425v1","created_at":"2026-07-05T10:25:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.04425","created_at":"2026-07-05T10:25:38Z"},{"alias_kind":"pith_short_12","alias_value":"5VOLFWHRKLER","created_at":"2026-07-05T10:25:38Z"},{"alias_kind":"pith_short_16","alias_value":"5VOLFWHRKLERJMIP","created_at":"2026-07-05T10:25:38Z"},{"alias_kind":"pith_short_8","alias_value":"5VOLFWHR","created_at":"2026-07-05T10:25:38Z"}],"graph_snapshots":[{"event_id":"sha256:aa585ab29b506972c96e14009a705faba7f3d4c38494859706606a3e340cd4fb","target":"graph","created_at":"2026-07-05T10:25:38Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2503.04425/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider wave maps from $(1+d)$-dimensional Minkowski space, $d\\geq3$, into rotationally symmetric manifolds which arise from small perturbations of the sphere $\\mathbb S^d$. We prove the existence of co-rotational self-similar finite time blowup solutions with smooth blowup profiles. Furthermore, we show the nonlinear asymptotic stability of these solutions under suitably small co-rotational perturbations on the full space.","authors_text":"Alexander Wittenstein, Birgit Sch\\\"orkhuber, Roland Donninger","cross_cats":["math.CA","math.FA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-03-06T13:34:00Z","title":"Stable blowup for supercritical wave maps into perturbed spheres"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.04425","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":"sha256:85ed062f5ba656403a6b82d13e27d5b9460178774827a95d130c1554a185f7ac","target":"record","created_at":"2026-07-05T10:25:38Z","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":"62304d1527b969cece7c80972775d92563c0640252202d6823a0a0861413f0d5","cross_cats_sorted":["math.CA","math.FA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-03-06T13:34:00Z","title_canon_sha256":"e9f4857cd27ea87a13c91bb1e1c277a9d5d08ddb17294400370c222e871f330e"},"schema_version":"1.0","source":{"id":"2503.04425","kind":"arxiv","version":1}},"canonical_sha256":"ed5cb2d8f152c914b10ff577febbb74c83d08b8fb230a5e6ee9cb6ce38fc0fed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed5cb2d8f152c914b10ff577febbb74c83d08b8fb230a5e6ee9cb6ce38fc0fed","first_computed_at":"2026-07-05T10:25:38.405752Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:25:38.405752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Zp21y/EYgUx63fClJWS2zSNUXxDKR4zAbNxs/ABMT6R7zVtf5DIfh3+KHxOI8MJ7OgfIYNP0xdYsz/YspSnGBg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:25:38.406291Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.04425","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:85ed062f5ba656403a6b82d13e27d5b9460178774827a95d130c1554a185f7ac","sha256:aa585ab29b506972c96e14009a705faba7f3d4c38494859706606a3e340cd4fb"],"state_sha256":"d580f236536f89477bf5d483b86803fc7d641be3a78847064a63e5d2333acd7f"}