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We conjecture that the exponents of nonzero terms of the Grothendieck polynomial $\\mathfrak{G}_w$ form a poset under componentwise comparison that is isomorphic to an induced subposet of $\\mathbb{Z}^n$. When $w\\in S_n$ avoids a certain set of patterns, we conjecturally connect the coefficients of $\\mathfrak{G}_w$ with the M\\\"obiu"},"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":"2201.09452","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-01-24T04:41:14Z","cross_cats_sorted":[],"title_canon_sha256":"4196fe0212af1a160f1a1394be0d709f32bbeb417c0e72adf0bc1a22ca0ef124","abstract_canon_sha256":"f26107f779eb7ad1f7a3fcfa98b198b40b8346dc51636b83640d5c7bc933066e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:50:57.587736Z","signature_b64":"g+zE+/SIyUBp0VnfnXmy/AmfZEpp3V8gLu3dF6pOheF0YGeWWHpRbGVzfTn/HHA6SlsQVr8hyvjVasPYz72cBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dfb21a8505ff71b132d4358d5e9014fd69fa145c8409a199319697fc624d3574","last_reissued_at":"2026-07-05T03:50:57.587241Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:50:57.587241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the support of Grothendieck polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Avery St. Dizier, Karola M\\'esz\\'aros, Linus Setiabrata","submitted_at":"2022-01-24T04:41:14Z","abstract_excerpt":"Grothendieck polynomials $\\mathfrak{G}_w$ of permutations $w\\in S_n$ were introduced by Lascoux and Sch\\\"utzenberger in 1982 as a set of distinguished representatives for the K-theoretic classes of Schubert cycles in the K-theory of the flag variety of $\\mathbb{C}^n$. 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