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Hoffman gives a conjectural identity of a similar flavour concerning $ 2 \\zeta(3,3,\\{2\\}^m) - \\zeta(3,\\{2\\}^m,(1,2)) $.\n  In this paper we introduce the 'generalised cyclic insertion conjecture', which we describe using a new combinatorial structure on iterated integrals -- the so-called alternating block d"},"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":"1703.03784","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-03-10T18:06:13Z","cross_cats_sorted":[],"title_canon_sha256":"d04bcd77f2d15b5bdff01f84c52e78e240f5b0892d7628004cf236000f8e1e90","abstract_canon_sha256":"68c9b6761f16f993466e0de714f7748eb16c6a0212f68496de238f2854934136"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:29.980236Z","signature_b64":"OODEEFY3g7U3cVMozD+mFkUgJsJD/HoJDpDR0Xltc63CGNHK6LhXny9YNaA+TwlCTBxlOopCh52OH71NQWIxAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb6fb5d1c4d8d0b63739d1f5dc3cc219c01d96b111dcfeed608ac92e033edf67","last_reissued_at":"2026-05-18T00:45:29.979839Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:29.979839Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The alternating block decomposition of iterated integrals, and cyclic insertion on multiple zeta values","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Steven Charlton","submitted_at":"2017-03-10T18:06:13Z","abstract_excerpt":"The cyclic insertion conjecture of Borwein, Bradley, Broadhurst and Lison\\v{e}k states that by inserting all cyclic permutations of some initial blocks of 2's into the multiple zeta value $ \\zeta(1,3,\\ldots,1,3) $ and summing, one obtains an explicit rational multiple of a power of $ \\pi $. 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