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It was proved in a $2012$ paper that for any MRS $f_n$ with $d=3,$ the sequence of weights $\\{w_k = wt(f_k):~k = 3, 4, \\ldots\\}$ satisfies a homogene"},"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":"1908.08448","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-08-22T15:25:19Z","cross_cats_sorted":["math.IT","math.RA"],"title_canon_sha256":"cda9960ebbaf3810bef1c99d4663d7dae5e4d5141c94b74dac48a89f024d7883","abstract_canon_sha256":"d8a1d13fadf1256bbc687ad99a2fa7b0855f08f16451cfabd6716e2e9d57204a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:05:45.948671Z","signature_b64":"L0wooDqJHpoTferDahQ3+EOT5G575fq0jG1TOVmhT9XTUK/Q+vaTSFNfvE6SNPJkGCqtHeMQIHPeGT8FZVmICw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0df94aa1f1ea810456f745ad52c895fff50e84094cd6d3ec4cb5219a24373df0","last_reissued_at":"2026-07-05T00:05:45.948165Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:05:45.948165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Affine equivalence for quadratic rotation symmetric Boolean functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","math.RA"],"primary_cat":"cs.IT","authors_text":"Alexandru Chirvasitu, Thomas W. 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