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This is a generalization of Schensted insertion to \\emph{colored words}, words in the alphabet of barred letters \\bar{1},\\bar{2},... and unbarred letters 1,2,.... We define the set of \\emph{colored Yamanouchi tableaux of content lambda and total color d} (CYT_{lambda, d}) to be the set of mixed insertion tableaux of colored words w with exactly d barred letters and such that w^{blft} is"},"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":"1209.2018","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-09-10T15:01:55Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"9822910920f1333e7286afcd8674bdf2ca46fc03e11e15aec07a88eaedd3dbb7","abstract_canon_sha256":"13fa2638991c63996f15152b7b17a7b8ddeee95a38e1cb17b6ceb45da964f319"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:45:53.878699Z","signature_b64":"rMC1up34M/tZKEBHuZeh2CXLWOH2UsY8+pu/vClOZAqYNfNu3J2KdIxTI3sq4qGGnVanwT1nmOmFdn+k7mEuDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b58bd15e876c03c01363c1dda8b3fe15f393c5be9d2aa5e8d939655f4f0fc03","last_reissued_at":"2026-05-18T03:45:53.878125Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:45:53.878125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Kronecker coefficients for one hook shape","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.CO","authors_text":"Jonah Blasiak","submitted_at":"2012-09-10T15:01:55Z","abstract_excerpt":"We give a positive combinatorial formula for the Kronecker coefficient g_{lambda mu(d) nu} for any partitions lambda, nu of n and hook shape mu(d) := (n-d,1^d). 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