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McKenzie):\n  \\[\n  t(r,a,r,e)\\approx t(a,r,e,a).\n  \\] We show that if we drop the finiteness assumption, the $k$-ary weak near unanimity equations imply only trivial linear one-equality Maltsev conditions for every $k\\geq 3$. From this it follows that there is no nontrivial linear one-equality condition that would hold in all idempotent algebras having T"},"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":"1706.01147","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-06-04T21:09:40Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"acc3374d5e868033ad9104e6ee235dac00838a75bb8bac19b01cdba919179305","abstract_canon_sha256":"2170ed4508d3ff65a69705334aa77f213a908d62e2854a9d65442b351463fd2f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:04.238186Z","signature_b64":"5mCBtkeWPBZ46wv3ExkTzn10XDk9VlPgvt/bptg+eOM5RDfqny+gG009a5vNNUpi9kPKStWQUdCr4gUgT9CsCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2bbede4e7ce5e7b93ef664b9d37d5d9623561773bc2a326691963789ecab760","last_reissued_at":"2026-05-18T00:10:04.237458Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:04.237458Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Taylor term does not imply any nontrivial linear one-equality Maltsev condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"math.RA","authors_text":"Alexandr Kazda","submitted_at":"2017-06-04T21:09:40Z","abstract_excerpt":"It is known that any finite idempotent algebra that satisfies a nontrivial Maltsev condition must satisfy the linear one-equality Maltsev condition (a variant of the term discovered by M. Siggers and refined by K. Kearnes, P. Markovi\\'c, and R. McKenzie):\n  \\[\n  t(r,a,r,e)\\approx t(a,r,e,a).\n  \\] We show that if we drop the finiteness assumption, the $k$-ary weak near unanimity equations imply only trivial linear one-equality Maltsev conditions for every $k\\geq 3$. From this it follows that there is no nontrivial linear one-equality condition that would hold in all idempotent algebras having T"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.01147","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1706.01147","created_at":"2026-05-18T00:10:04.237568+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.01147v3","created_at":"2026-05-18T00:10:04.237568+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.01147","created_at":"2026-05-18T00:10:04.237568+00:00"},{"alias_kind":"pith_short_12","alias_value":"YK563ZHHZZPH","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_16","alias_value":"YK563ZHHZZPHXE7P","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_8","alias_value":"YK563ZHH","created_at":"2026-05-18T12:31:56.362134+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YK563ZHHZZPHXE7PMZFZ2N6V3F","json":"https://pith.science/pith/YK563ZHHZZPHXE7PMZFZ2N6V3F.json","graph_json":"https://pith.science/api/pith-number/YK563ZHHZZPHXE7PMZFZ2N6V3F/graph.json","events_json":"https://pith.science/api/pith-number/YK563ZHHZZPHXE7PMZFZ2N6V3F/events.json","paper":"https://pith.science/paper/YK563ZHH"},"agent_actions":{"view_html":"https://pith.science/pith/YK563ZHHZZPHXE7PMZFZ2N6V3F","download_json":"https://pith.science/pith/YK563ZHHZZPHXE7PMZFZ2N6V3F.json","view_paper":"https://pith.science/paper/YK563ZHH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.01147&json=true","fetch_graph":"https://pith.science/api/pith-number/YK563ZHHZZPHXE7PMZFZ2N6V3F/graph.json","fetch_events":"https://pith.science/api/pith-number/YK563ZHHZZPHXE7PMZFZ2N6V3F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YK563ZHHZZPHXE7PMZFZ2N6V3F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YK563ZHHZZPHXE7PMZFZ2N6V3F/action/storage_attestation","attest_author":"https://pith.science/pith/YK563ZHHZZPHXE7PMZFZ2N6V3F/action/author_attestation","sign_citation":"https://pith.science/pith/YK563ZHHZZPHXE7PMZFZ2N6V3F/action/citation_signature","submit_replication":"https://pith.science/pith/YK563ZHHZZPHXE7PMZFZ2N6V3F/action/replication_record"}},"created_at":"2026-05-18T00:10:04.237568+00:00","updated_at":"2026-05-18T00:10:04.237568+00:00"}