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If $A$ is an infinite set, then let $\\Omega(A)$ be the algebra with universe $A$ and where each $a\\in A$ is a fundamental constant and every finitary function is a fundamental operation. We shall give a duality between complete non-Archimedean $|A|^{+}$-totally bounded uniform spaces and subdirect powe"},"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":"1207.0119","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2012-06-30T17:39:22Z","cross_cats_sorted":[],"title_canon_sha256":"3ffe62aca905c499947a4ff4e60c9bd4cfce9897e07afb673df2ea2aeeb9de01","abstract_canon_sha256":"d6d55ea70b993b1fe02f0fd996b2a29516220aa2da94ae7cd17d6ef1f7c762ff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:52:00.296166Z","signature_b64":"XKVxKeR4abDgH1wes49nFteMeOeGb2IS2hYZJsPK+A8Jy2kDs7WmeOyylb7XeLrVvodHQAYKJc3HMxzgr7rACA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4cbec5ebb138a3e610194312f2fcdd96ca9cd60effa60b681952931fcb013212","last_reissued_at":"2026-05-18T03:52:00.295407Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:52:00.295407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Duality Between Non-Archimedean Uniform Spaces and Subdirect Powers of Full Clones","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Joseph Van Name","submitted_at":"2012-06-30T17:39:22Z","abstract_excerpt":"A uniform space is said to be non-Archimedean if it is generated by equivalence relations. 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