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Rolnick conjectured that for every $\\lambda \\in \\mathbb{N}_0\\backslash\\{1, 3, 5, 9, 11, 15\\}$, there exists an independent Stanley sequence $S(A)$ such that $\\lambda(A) =\\lambda$. This paper demonstrates that $\\lambda(A) \\not\\in \\{1, 3, 5, 9, 11, 15\\}$ for any in"},"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":"1707.02037","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-07T05:04:09Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"6a3f9c0a62137d07a64c925cad68d4a8db21b724cca95274909150cb2955aa6e","abstract_canon_sha256":"736efadbc4e583b9902c3e1bf05c83e5f8f8eec40fb637d038480f0b98c76ba7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:28.206476Z","signature_b64":"aHQZ5mUwaGPSXticX2KCMeR/TKNHdsusWbadRv1DEA3QIQx9ERPX7j26Om9aaTGic2L5qGjP65KAXQ6BxGlkAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c437fa910c7998cf844d2109868fc2ff3e3cf84d374333e09f96017cd75dd366","last_reissued_at":"2026-05-18T00:40:28.205852Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:28.205852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stanley sequences with odd character","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.CO","authors_text":"Richard A. 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