{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:M3WVRVKDC3LPFHQ4MQV6JTQHSJ","short_pith_number":"pith:M3WVRVKD","schema_version":"1.0","canonical_sha256":"66ed58d54316d6f29e1c642be4ce079270ad1067fac77cae73bcee2360628018","source":{"kind":"arxiv","id":"1502.04633","version":2},"attestation_state":"computed","paper":{"title":"Evaluations of Hecke algebra traces at Kazhdan-Lusztig basis elements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.CO","authors_text":"Brittany Shelton, Mark Skandera, Matthew Hyatt, Samuel Clearman","submitted_at":"2015-02-13T20:01:20Z","abstract_excerpt":"For irreducible characters $\\{ \\chi_q^\\lambda \\,|\\, \\lambda \\vdash n \\}$, induced sign characters $\\{ \\epsilon_q^\\lambda \\,|\\, \\lambda \\vdash n \\}$, and induced trivial characters $\\{ \\eta_q^\\lambda \\,|\\, \\lambda \\vdash n \\}$ of the Hecke algebra $H_n(q)$, and Kazhdan-Lusztig basis elements $C'_w(q)$ with $w$ avoiding the patterns 3412 and 4231, we combinatorially interpret the polynomials $\\chi_q^\\lambda(q^{l(w)/2}C'_w(q))$, $\\epsilon_q^\\lambda(q^{l(w)/2} C'_w(q))$, and $\\smash{\\eta_q^\\lambda(q^{l(w)/2} C'_w(q))}$. This gives a new algebraic interpretation of chromatic quasisymmetric function"},"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":"1502.04633","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-02-13T20:01:20Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"dda2c941dd331ef2e927314337d907c08cf6fb44092d1f57263f55d7cec52a68","abstract_canon_sha256":"5158bd35212160e781b69fe50ece919f6e9bddb6af16b944665999086d99ef3d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:03.446894Z","signature_b64":"8SxOTbgYzY6i/PSjpQbjwhspS2KFJFlL/gp2V5Ix87HpJYWwNuZ1NhOGM5FHKi7pi34dIHKGpM/8IcyzKZ7DDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66ed58d54316d6f29e1c642be4ce079270ad1067fac77cae73bcee2360628018","last_reissued_at":"2026-05-18T01:18:03.446184Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:03.446184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Evaluations of Hecke algebra traces at Kazhdan-Lusztig basis elements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.CO","authors_text":"Brittany Shelton, Mark Skandera, Matthew Hyatt, Samuel Clearman","submitted_at":"2015-02-13T20:01:20Z","abstract_excerpt":"For irreducible characters $\\{ \\chi_q^\\lambda \\,|\\, \\lambda \\vdash n \\}$, induced sign characters $\\{ \\epsilon_q^\\lambda \\,|\\, \\lambda \\vdash n \\}$, and induced trivial characters $\\{ \\eta_q^\\lambda \\,|\\, \\lambda \\vdash n \\}$ of the Hecke algebra $H_n(q)$, and Kazhdan-Lusztig basis elements $C'_w(q)$ with $w$ avoiding the patterns 3412 and 4231, we combinatorially interpret the polynomials $\\chi_q^\\lambda(q^{l(w)/2}C'_w(q))$, $\\epsilon_q^\\lambda(q^{l(w)/2} C'_w(q))$, and $\\smash{\\eta_q^\\lambda(q^{l(w)/2} C'_w(q))}$. 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