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Since Schubert polynomials and key polynomials occur as special cases of dual flagged Weyl characters, our approach provides a new and unified proof of known criteria for zero-one Schubert/key polynomials due to Fink--M{\\'e}sz{\\'a}ros--St. Dizier and Hodges--Yong, respectively."},"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":"2411.10933","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2024-11-17T01:59:51Z","cross_cats_sorted":["math.AG","math.RT"],"title_canon_sha256":"29188d71d8f5efc0ba85ff4d7ad842518290360e39b2ff09cb5fee92999f696e","abstract_canon_sha256":"5467321de0001916cab9dac8eacf3e01796de52fdb1434363308afc4025ccb51"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:33:48.081353Z","signature_b64":"woifV0loFJC1jXqziWxbM+KQK6OmXYg3Qyi029bXvETO4O5GA5G3/ej7LlfXFXV7TDo4WVuxxDrzIKG/7C3DBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2519fc05690b2036814362a70bbf4cde02532c05f747ec8842d3293119d2a115","last_reissued_at":"2026-07-05T11:33:48.080953Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:33:48.080953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Zero-one dual characters of flagged Weyl modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.RT"],"primary_cat":"math.CO","authors_text":"Peter L. 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