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Suppose $F_T=\\widetilde{F}_T$, then $F_t=\\widetilde{F}_t$ on $M^n \\times [0,T]$. This is an analog of a result of Kotschwar on the Ricci flow."},"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":"0907.0862","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-07-06T08:31:24Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"13dfe19802767373df762bdcd62b5a306d0529eccf59109535a506dc380b02a7","abstract_canon_sha256":"5c3954c954f807d50814600eca31e2729cbccdafea4a86f093d1a73bbe3941d8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:43.333912Z","signature_b64":"rO356GsjDCRwDtlvzgwVFNSyOFTNFucJ88x2EjI5MQ+J1alqId9qUpGnOoR9xlzEYHtf+cE5s24PGTcKNz5jDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"75c189651ce1704669d6745cc767dec76923eb63ab494acbe4ba68fb4bbadb27","last_reissued_at":"2026-05-17T23:56:43.333505Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:43.333505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Backwards uniqueness of the mean curvature flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Hong Huang","submitted_at":"2009-07-06T08:31:24Z","abstract_excerpt":"In this note we prove the backwards uniqueness of the mean curvature flow for (codimension one) hypersurfaces in a Euclidean space. 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