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Turyn-type sequences TT(n) are known to exist for all even n not larger than 36. We introduce a definition of equivalence to construct a canonical form for TT(n) in general. By using this canonical form, we enumerate the equivalence classes of TT(n) for n up to and including 32. We also construct the first example of Turyn-type sequences"},"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":"1206.4107","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-06-19T02:09:24Z","cross_cats_sorted":[],"title_canon_sha256":"503e479dbb0736106f5dc28075ed98875ba861b999b3124948cd214813895c19","abstract_canon_sha256":"f5bbf7ee9ea4f55ee416b5220372e98e0a89de4e6dc2f34d3e3d03f960afd554"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:04.477554Z","signature_b64":"UbfiXV5UMS7as1Z5ihbN1oeISigNi3VdVrQTEgJQ++RRN4s6jtmXAccD27ygmWcmt5KsmcTxZ8f16e56eirrBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bcbf2c5663742655c56ac6bec5e38e5ab19d312d0a6d674f860dba838af699d1","last_reissued_at":"2026-05-18T03:36:04.477087Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:04.477087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Turyn-type sequences: Classification, Enumeration and Construction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"D. 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