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For smooth, codimension one mean curvature flows with $H \\in L^\\infty L^\\infty_{loc}$, we also show that, at"},"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":"2311.16262","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2023-11-27T19:08:25Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"dd544bb1733f46abbc895633077bdb5eaa86aeab50e4a759f311d3f79f78fabb","abstract_canon_sha256":"69f1062ac579a56be99aa55011345142c711cdf9308e53e171835bcedd422489"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:17:38.531597Z","signature_b64":"AHyk5ogkiu10UMpEukCODosNJpvUvdLdHwz37LV/vC+1QwViq5XSWHLrB6SaYmOb02b+01KKmcL0cam/0SiTBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4cda949788e54331285c1a4273477a4ad05e074268cb53802df3c18d83a700a","last_reissued_at":"2026-07-05T07:17:38.531186Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:17:38.531186Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Structure of Singularities of Weak Mean Curvature Flows with Mean Curvature Bounds","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Maxwell Stolarski","submitted_at":"2023-11-27T19:08:25Z","abstract_excerpt":"This paper studies singularities of mean curvature flows with integral mean curvature bounds $H \\in L^\\infty L^p_{loc}$ for some $p \\in ( n, \\infty]$. 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