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Contemporary Soviet Mathematics, 1987","work_id":"8c606b5b-efda-4127-9789-39590f6d4171","year":1987}],"snapshot_sha256":"532224c1a11977a7f9971ad8229e808f9fb3b5e8779297a33e63121728a8f179"},"source":{"id":"2605.15499","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-19T15:40:41.530277Z","id":"a18a4191-cce2-4d95-97f2-8324f80daea5","model_set":{"reader":"grok-4.3"},"one_line_summary":"Exact controllability to positive trajectories is established for 1D semilinear degenerate parabolic equations in moving domains via bilinear reaction-term control using a local inversion method with tailored estimates.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Bilinear control on the reaction coefficient achieves exact controllability to any nearby positive trajectory for a one-dimensional semilinear degenerate parabolic equation in a time-evolving domain.","strongest_claim":"We deal with the exact controllability to a positive trajectory of a one-dimensional semilinear degenerate equation governed via the coefficient of the reaction term in bounded domains that evolve in time.","weakest_assumption":"The specific estimates derived for the linearized degenerate operator in the moving domain are sufficient to satisfy the conditions of the local inversion theorem without further restrictions on the trajectory or degeneracy strength."}},"verdict_id":"a18a4191-cce2-4d95-97f2-8324f80daea5"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a5bc8405a52707bc1678669e426c4c2d103ac578eefe49ad98fc574250316fbd","target":"record","created_at":"2026-05-20T00:01:01Z","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":"994eb99d996102aa8e4afce406c09e87d560cabf4ac466f2ca78a92efe35642a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-05-15T00:32:45Z","title_canon_sha256":"1c362c9b8eddde2c96d643c18bd4ef001b90bab479d8445e93f50f172f0d8adf"},"schema_version":"1.0","source":{"id":"2605.15499","kind":"arxiv","version":1}},"canonical_sha256":"2be4403da9c557635e345392bf1b462067d3dc784fc3866a1dd2f8187a56fdf1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2be4403da9c557635e345392bf1b462067d3dc784fc3866a1dd2f8187a56fdf1","first_computed_at":"2026-05-20T00:01:01.835875Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:01:01.835875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RtT3XzLuXAyNY1+N25Fn3tT7UWpNEAvgEt7kWvo0NotRBUoPEIAYTVZvf8pjXGqT5MDMvSU8vLBdQFfMGJICBA==","signature_status":"signed_v1","signed_at":"2026-05-20T00:01:01.836695Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.15499","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a5bc8405a52707bc1678669e426c4c2d103ac578eefe49ad98fc574250316fbd","sha256:f02bcb87e24939743e273f257bc0ed508554ebac5a265b0419657815ff98a9eb"],"state_sha256":"cde2d1dbbd6ae929ed848d4f3217f76dc9410ff506d83caf647897fb369a046e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mT8VvUVucdnWee889UKmaOrsD8IRnXS6J2772rs2wZqtntDGz/kzFnHdGA/FGtohlQz8dlQz+hwg+CXVixRwDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T21:39:40.490308Z","bundle_sha256":"a4cbb5cbdf95808f016b118342ea4b5de45deec96fdc410b3171d6cfa0b2d647"}}