{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:3Q3OYQFBP7ZQO4U3CAWASOU427","short_pith_number":"pith:3Q3OYQFB","schema_version":"1.0","canonical_sha256":"dc36ec40a17ff307729b102c093a9cd7ed864534d77c2f989935e3a535cf2a67","source":{"kind":"arxiv","id":"1007.3120","version":2},"attestation_state":"computed","paper":{"title":"Independent axiom systems for nearlattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Joao Araujo, Michael Kinyon","submitted_at":"2010-07-19T11:00:57Z","abstract_excerpt":"A nearlattice is a join semilattice such that every principal filter is a lattice with respect to the induced order. Hickman and later Chajda et al independently showed that nearlattices can be treated as varieties of algebras with a ternary operation satisfying certain axioms. Our main result is that the variety of nearlattices is 2-based, and we exhibit an explicit axiom system of two independent identities. We also show that the original axiom systems of Hickman and of Chajda et al are, respectively, dependent."},"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":"1007.3120","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2010-07-19T11:00:57Z","cross_cats_sorted":[],"title_canon_sha256":"8f839a8ee804b6895ad278319fd85783520023a8a121789c2c0865a9db95ee86","abstract_canon_sha256":"8841f4cdc929ce86f9fe9516b7af67e505e4635ba47f914748ed3c20aea5cc25"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:34.135198Z","signature_b64":"KwLod/3fkLYJlWc+xPouL6g0Uvrvb5/OHJ/iFj0r6V+DF1akQqovxpwnAMaXR2B8KkKVJGxLFgx7wow1NGMiDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dc36ec40a17ff307729b102c093a9cd7ed864534d77c2f989935e3a535cf2a67","last_reissued_at":"2026-05-18T03:44:34.134414Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:34.134414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Independent axiom systems for nearlattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Joao Araujo, Michael Kinyon","submitted_at":"2010-07-19T11:00:57Z","abstract_excerpt":"A nearlattice is a join semilattice such that every principal filter is a lattice with respect to the induced order. Hickman and later Chajda et al independently showed that nearlattices can be treated as varieties of algebras with a ternary operation satisfying certain axioms. Our main result is that the variety of nearlattices is 2-based, and we exhibit an explicit axiom system of two independent identities. We also show that the original axiom systems of Hickman and of Chajda et al are, respectively, dependent."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.3120","kind":"arxiv","version":2},"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":"1007.3120","created_at":"2026-05-18T03:44:34.134552+00:00"},{"alias_kind":"arxiv_version","alias_value":"1007.3120v2","created_at":"2026-05-18T03:44:34.134552+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.3120","created_at":"2026-05-18T03:44:34.134552+00:00"},{"alias_kind":"pith_short_12","alias_value":"3Q3OYQFBP7ZQ","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_16","alias_value":"3Q3OYQFBP7ZQO4U3","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_8","alias_value":"3Q3OYQFB","created_at":"2026-05-18T12:26:03.138858+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/3Q3OYQFBP7ZQO4U3CAWASOU427","json":"https://pith.science/pith/3Q3OYQFBP7ZQO4U3CAWASOU427.json","graph_json":"https://pith.science/api/pith-number/3Q3OYQFBP7ZQO4U3CAWASOU427/graph.json","events_json":"https://pith.science/api/pith-number/3Q3OYQFBP7ZQO4U3CAWASOU427/events.json","paper":"https://pith.science/paper/3Q3OYQFB"},"agent_actions":{"view_html":"https://pith.science/pith/3Q3OYQFBP7ZQO4U3CAWASOU427","download_json":"https://pith.science/pith/3Q3OYQFBP7ZQO4U3CAWASOU427.json","view_paper":"https://pith.science/paper/3Q3OYQFB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1007.3120&json=true","fetch_graph":"https://pith.science/api/pith-number/3Q3OYQFBP7ZQO4U3CAWASOU427/graph.json","fetch_events":"https://pith.science/api/pith-number/3Q3OYQFBP7ZQO4U3CAWASOU427/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3Q3OYQFBP7ZQO4U3CAWASOU427/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3Q3OYQFBP7ZQO4U3CAWASOU427/action/storage_attestation","attest_author":"https://pith.science/pith/3Q3OYQFBP7ZQO4U3CAWASOU427/action/author_attestation","sign_citation":"https://pith.science/pith/3Q3OYQFBP7ZQO4U3CAWASOU427/action/citation_signature","submit_replication":"https://pith.science/pith/3Q3OYQFBP7ZQO4U3CAWASOU427/action/replication_record"}},"created_at":"2026-05-18T03:44:34.134552+00:00","updated_at":"2026-05-18T03:44:34.134552+00:00"}