{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:HVS6DOBMWVKLUR2L6TZ5YTUT6G","short_pith_number":"pith:HVS6DOBM","schema_version":"1.0","canonical_sha256":"3d65e1b82cb554ba474bf4f3dc4e93f1afdef2f3922239e1a67f4949d94fbbd4","source":{"kind":"arxiv","id":"1605.01230","version":2},"attestation_state":"computed","paper":{"title":"Notes on divisible MV-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Ioana Leustean, Serafina Lapenta","submitted_at":"2016-05-04T11:32:32Z","abstract_excerpt":"In these notes we study the class of divisible MV-algebras inside the algebraic hierarchy of MV-algebras with product. We connect divisible MV-algebras with $\\mathbb Q$-vector lattices, we present the divisible hull as a categorical adjunction and we prove a duality between finitely presented algebras and rational polyhedra."},"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":"1605.01230","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-05-04T11:32:32Z","cross_cats_sorted":[],"title_canon_sha256":"a9193b30327ee5040f195ac1415c4bb2f01e00a877b97a39b5b00dc7b241ff0f","abstract_canon_sha256":"8c7219080511232316e83d555991b2b7162b5e18451a4a2c30631063d20966cc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:35.238472Z","signature_b64":"FVoLZ5hNaTEcQhE6K8G44py7p/6YbySaxl/KQB3zjAS+lm2k83bXO/LWD3wF5kVmmNCefTe9iKA9Vnv2AI88Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d65e1b82cb554ba474bf4f3dc4e93f1afdef2f3922239e1a67f4949d94fbbd4","last_reissued_at":"2026-05-18T01:00:35.237960Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:35.237960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Notes on divisible MV-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Ioana Leustean, Serafina Lapenta","submitted_at":"2016-05-04T11:32:32Z","abstract_excerpt":"In these notes we study the class of divisible MV-algebras inside the algebraic hierarchy of MV-algebras with product. We connect divisible MV-algebras with $\\mathbb Q$-vector lattices, we present the divisible hull as a categorical adjunction and we prove a duality between finitely presented algebras and rational polyhedra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01230","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":"1605.01230","created_at":"2026-05-18T01:00:35.238035+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.01230v2","created_at":"2026-05-18T01:00:35.238035+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01230","created_at":"2026-05-18T01:00:35.238035+00:00"},{"alias_kind":"pith_short_12","alias_value":"HVS6DOBMWVKL","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_16","alias_value":"HVS6DOBMWVKLUR2L","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_8","alias_value":"HVS6DOBM","created_at":"2026-05-18T12:30:22.444734+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/HVS6DOBMWVKLUR2L6TZ5YTUT6G","json":"https://pith.science/pith/HVS6DOBMWVKLUR2L6TZ5YTUT6G.json","graph_json":"https://pith.science/api/pith-number/HVS6DOBMWVKLUR2L6TZ5YTUT6G/graph.json","events_json":"https://pith.science/api/pith-number/HVS6DOBMWVKLUR2L6TZ5YTUT6G/events.json","paper":"https://pith.science/paper/HVS6DOBM"},"agent_actions":{"view_html":"https://pith.science/pith/HVS6DOBMWVKLUR2L6TZ5YTUT6G","download_json":"https://pith.science/pith/HVS6DOBMWVKLUR2L6TZ5YTUT6G.json","view_paper":"https://pith.science/paper/HVS6DOBM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.01230&json=true","fetch_graph":"https://pith.science/api/pith-number/HVS6DOBMWVKLUR2L6TZ5YTUT6G/graph.json","fetch_events":"https://pith.science/api/pith-number/HVS6DOBMWVKLUR2L6TZ5YTUT6G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HVS6DOBMWVKLUR2L6TZ5YTUT6G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HVS6DOBMWVKLUR2L6TZ5YTUT6G/action/storage_attestation","attest_author":"https://pith.science/pith/HVS6DOBMWVKLUR2L6TZ5YTUT6G/action/author_attestation","sign_citation":"https://pith.science/pith/HVS6DOBMWVKLUR2L6TZ5YTUT6G/action/citation_signature","submit_replication":"https://pith.science/pith/HVS6DOBMWVKLUR2L6TZ5YTUT6G/action/replication_record"}},"created_at":"2026-05-18T01:00:35.238035+00:00","updated_at":"2026-05-18T01:00:35.238035+00:00"}