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Consequently, $(\\rho_{\\mathbf{t}}(n))_{n\\geq 1}$ is a $2$-regular sequence."},"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":"1802.03610","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-02-10T15:44:57Z","cross_cats_sorted":[],"title_canon_sha256":"8c665aab99cc33fadab0540b7b8fb34c292d1444486038268b1d18fa8106e2f5","abstract_canon_sha256":"5a1fb095057894630e6d8494b2c59bf7668234cac4589c4c8674adcbbef9084b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:48.826959Z","signature_b64":"l6z9xv8U1rRdpTvzOQrl6pNPJxnm6wFu9JhN3TRJJTnTsNblQUim3468R0yTub3gZiBzpouhTvaxQUrRc9SzDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9089168fdfa316719b247aa9a63c8fa6bca4b14cef071718ae8136a100cd74c","last_reissued_at":"2026-05-18T00:10:48.826418Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:48.826418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the additive complexity of a Thue-Morse like sequence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Jin Chen, Wen Wu, Zhixiong Wen","submitted_at":"2018-02-10T15:44:57Z","abstract_excerpt":"In this paper, we study the additive complexity $\\rho^{+}_{\\mathbf{t}}(n)$ of a Thue-Morse like sequence $\\mathbf{t}=\\sigma^{\\infty}(0)$ with the morphism $\\sigma: 0\\to 01, 1\\to 12, 2\\to 20$. 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