{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:FEPSCNUYJQ4THLSZOYEATPMTNB","short_pith_number":"pith:FEPSCNUY","schema_version":"1.0","canonical_sha256":"291f2136984c3933ae59760809bd936856f7e1a9fbe51fb1d44f873a2c889edc","source":{"kind":"arxiv","id":"1307.8184","version":1},"attestation_state":"computed","paper":{"title":"Free algebras in varieties of Hilbert algebras with supremum generated by finite chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.LO","authors_text":"Aldo V. Figallo, Elda Pick, Martin Figallo, Susana Saad","submitted_at":"2013-07-31T01:28:40Z","abstract_excerpt":"Hilbert algebras with supremum, i.e., Hilbert algebras where the associated order is a join-semilattice were first considered by A.V. Figallo, G. Ramon and S. Saad in [11], and independently by S. Celani and D. Montangie in [7].\n  On the other hand, L. Monteiro introduced the notion of n-valued Hilbert algebras (see [12]). In this work, we investigate the class of n-valued Hilbert algebras with supremum, denoted Hn, i.e., n-valued Hilbert algebras where the associated order is a join-semilattice. The varieties Hn are generated by finite chains. The free Hn-algebra Freen+1(r) with r generators "},"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":"1307.8184","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2013-07-31T01:28:40Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"eae2cb077cc80e44ffc145da7294f01d8a6a8ae8d373aac7d7b7458876d97239","abstract_canon_sha256":"feffdf390e745997e49fe077410d6d0143a808275583620cbc6edd7a63d6485d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:17:02.127873Z","signature_b64":"lKI9DaVaIyl77gQq68h9ONmR+O/RxM3GZDtwRCtqaHntMgDix+w4YlY1GOX78WYUbrwiXMwCO8LHEUYmcwpiBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"291f2136984c3933ae59760809bd936856f7e1a9fbe51fb1d44f873a2c889edc","last_reissued_at":"2026-05-18T03:17:02.126909Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:17:02.126909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Free algebras in varieties of Hilbert algebras with supremum generated by finite chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.LO","authors_text":"Aldo V. Figallo, Elda Pick, Martin Figallo, Susana Saad","submitted_at":"2013-07-31T01:28:40Z","abstract_excerpt":"Hilbert algebras with supremum, i.e., Hilbert algebras where the associated order is a join-semilattice were first considered by A.V. Figallo, G. Ramon and S. Saad in [11], and independently by S. Celani and D. Montangie in [7].\n  On the other hand, L. Monteiro introduced the notion of n-valued Hilbert algebras (see [12]). In this work, we investigate the class of n-valued Hilbert algebras with supremum, denoted Hn, i.e., n-valued Hilbert algebras where the associated order is a join-semilattice. The varieties Hn are generated by finite chains. The free Hn-algebra Freen+1(r) with r generators "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.8184","kind":"arxiv","version":1},"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":"1307.8184","created_at":"2026-05-18T03:17:02.127072+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.8184v1","created_at":"2026-05-18T03:17:02.127072+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.8184","created_at":"2026-05-18T03:17:02.127072+00:00"},{"alias_kind":"pith_short_12","alias_value":"FEPSCNUYJQ4T","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"FEPSCNUYJQ4THLSZ","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"FEPSCNUY","created_at":"2026-05-18T12:27:45.050594+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/FEPSCNUYJQ4THLSZOYEATPMTNB","json":"https://pith.science/pith/FEPSCNUYJQ4THLSZOYEATPMTNB.json","graph_json":"https://pith.science/api/pith-number/FEPSCNUYJQ4THLSZOYEATPMTNB/graph.json","events_json":"https://pith.science/api/pith-number/FEPSCNUYJQ4THLSZOYEATPMTNB/events.json","paper":"https://pith.science/paper/FEPSCNUY"},"agent_actions":{"view_html":"https://pith.science/pith/FEPSCNUYJQ4THLSZOYEATPMTNB","download_json":"https://pith.science/pith/FEPSCNUYJQ4THLSZOYEATPMTNB.json","view_paper":"https://pith.science/paper/FEPSCNUY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.8184&json=true","fetch_graph":"https://pith.science/api/pith-number/FEPSCNUYJQ4THLSZOYEATPMTNB/graph.json","fetch_events":"https://pith.science/api/pith-number/FEPSCNUYJQ4THLSZOYEATPMTNB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FEPSCNUYJQ4THLSZOYEATPMTNB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FEPSCNUYJQ4THLSZOYEATPMTNB/action/storage_attestation","attest_author":"https://pith.science/pith/FEPSCNUYJQ4THLSZOYEATPMTNB/action/author_attestation","sign_citation":"https://pith.science/pith/FEPSCNUYJQ4THLSZOYEATPMTNB/action/citation_signature","submit_replication":"https://pith.science/pith/FEPSCNUYJQ4THLSZOYEATPMTNB/action/replication_record"}},"created_at":"2026-05-18T03:17:02.127072+00:00","updated_at":"2026-05-18T03:17:02.127072+00:00"}