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The evaluation, for every $t\\ge2$ and every $\\lambda$ with no hypothesis on its shape, is a signed product of exactly three factors over a fixed denominator, or zero, the three arguments read off the $t$-quotient. The proof is a Laplace expansion along the $t$ frozen rows of the bialternant with one cancellation "},"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":"2608.09619","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2026-08-10T13:58:23Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"1ec06a874b131137c7b6d9a8bcadee94042161e12a185ff539bbc0390c9a2141","abstract_canon_sha256":"1020012255253e77a6a448aab9f27681ed34558fe6a246d064b8908e856f5ed4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-11T02:24:37.959971Z","signature_b64":"jBK2OidNtuJQCMquYbesVleoagpVff9SufXPrnp97lQFclvWpuMeKzpbkvVCQvGzC6nYoRYNdDawhJA7ScLTCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d0ad5ede003b56f400866a84c93038dd8071837fb752bbb36b2d007133af45d","last_reissued_at":"2026-08-11T02:24:37.958309Z","signature_status":"signed_v1","first_computed_at":"2026-08-11T02:24:37.958309Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.CO","authors_text":"Carles Mar\\'in","submitted_at":"2026-08-10T13:58:23Z","abstract_excerpt":"Let $\\mu_t$ be the full set of $t$-th roots of unity and $(z,z^{-1})$ a free reciprocal pair. 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