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In the article \"Ramsey properties of infinite measure algebras and topological dynamics of the group of measure preserving automorphisms: some results and an open problem\" by Kechris, Sokic, and Todorcevic, the following question was asked:\n  Is it true that given positive integers $k < m$ and $N$ such that $k$ divides $m$, there exists a number $n>m$ such that $m$"},"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":"1907.02675","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-07-05T04:34:00Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"9ac04da2e03df21a4e5f32b9e128a1f3bb735636e29fa9fe2eea2d1c9f90bb54","abstract_canon_sha256":"24198ebb142c4fe2f4068be98f21e399a8bca3fbddd08df14f1caf4916c71260"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:43.130170Z","signature_b64":"Fo/P3M4tRWQhuFkBr2fg35StxxyCECkovbj08FUFBZmEXQSD2z1vw5MF5/IkbMvfyDkkEmwktb8ZIAcwfYibAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a9feeec5b66ffd48c9d325351e01797055a996a1e8d0543de0b0cf2c6767758","last_reissued_at":"2026-05-17T23:40:43.129570Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:43.129570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Homogeneous Dual Ramsey Theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"math.CO","authors_text":"Jose G. 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