{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:HOB2O5TA3H5TVWVFORP7YAMTI3","short_pith_number":"pith:HOB2O5TA","schema_version":"1.0","canonical_sha256":"3b83a77660d9fb3adaa5745ffc019346ee7875219e3ccae4cf1c4a526ffc0f57","source":{"kind":"arxiv","id":"1307.8347","version":1},"attestation_state":"computed","paper":{"title":"Bouligand-Severi $k$-tangents and strongly semisimple MV-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.MG","authors_text":"Leonardo Cabrer","submitted_at":"2013-07-22T09:30:26Z","abstract_excerpt":"An algebra $A$ is said to be strongly semisimple if every principal congruence of $A$ is an intersection of maximal congruences. We give a geometrical characterisation of strongly semisimple MV-algebras in terms of Bouligand-Severi $k$-tangents. The latter are a $k$-dimensional generalisation of the classical Bouligand-Severi tangents."},"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":"1307.8347","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2013-07-22T09:30:26Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"305c1101a897814177d1145e2e2dfd201d7ee038456808ba765739d8e56646e1","abstract_canon_sha256":"0cd2bb19a83c9a1bfe7c9c5ad99dda00f2c2152208845b443ea4ea2a65b31da9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:17:01.452540Z","signature_b64":"5SgPO/kjT/EnzEixbl+QhHjaS00LMGPe9TsO83pastRdZ2N+09oTU/pveSQj1bVrU3RhWRZHF0ueRA+grCcQDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b83a77660d9fb3adaa5745ffc019346ee7875219e3ccae4cf1c4a526ffc0f57","last_reissued_at":"2026-05-18T03:17:01.451634Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:17:01.451634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bouligand-Severi $k$-tangents and strongly semisimple MV-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.MG","authors_text":"Leonardo Cabrer","submitted_at":"2013-07-22T09:30:26Z","abstract_excerpt":"An algebra $A$ is said to be strongly semisimple if every principal congruence of $A$ is an intersection of maximal congruences. We give a geometrical characterisation of strongly semisimple MV-algebras in terms of Bouligand-Severi $k$-tangents. The latter are a $k$-dimensional generalisation of the classical Bouligand-Severi tangents."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.8347","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":"1307.8347","created_at":"2026-05-18T03:17:01.451796+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.8347v1","created_at":"2026-05-18T03:17:01.451796+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.8347","created_at":"2026-05-18T03:17:01.451796+00:00"},{"alias_kind":"pith_short_12","alias_value":"HOB2O5TA3H5T","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"HOB2O5TA3H5TVWVF","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"HOB2O5TA","created_at":"2026-05-18T12:27:46.883200+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/HOB2O5TA3H5TVWVFORP7YAMTI3","json":"https://pith.science/pith/HOB2O5TA3H5TVWVFORP7YAMTI3.json","graph_json":"https://pith.science/api/pith-number/HOB2O5TA3H5TVWVFORP7YAMTI3/graph.json","events_json":"https://pith.science/api/pith-number/HOB2O5TA3H5TVWVFORP7YAMTI3/events.json","paper":"https://pith.science/paper/HOB2O5TA"},"agent_actions":{"view_html":"https://pith.science/pith/HOB2O5TA3H5TVWVFORP7YAMTI3","download_json":"https://pith.science/pith/HOB2O5TA3H5TVWVFORP7YAMTI3.json","view_paper":"https://pith.science/paper/HOB2O5TA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.8347&json=true","fetch_graph":"https://pith.science/api/pith-number/HOB2O5TA3H5TVWVFORP7YAMTI3/graph.json","fetch_events":"https://pith.science/api/pith-number/HOB2O5TA3H5TVWVFORP7YAMTI3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HOB2O5TA3H5TVWVFORP7YAMTI3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HOB2O5TA3H5TVWVFORP7YAMTI3/action/storage_attestation","attest_author":"https://pith.science/pith/HOB2O5TA3H5TVWVFORP7YAMTI3/action/author_attestation","sign_citation":"https://pith.science/pith/HOB2O5TA3H5TVWVFORP7YAMTI3/action/citation_signature","submit_replication":"https://pith.science/pith/HOB2O5TA3H5TVWVFORP7YAMTI3/action/replication_record"}},"created_at":"2026-05-18T03:17:01.451796+00:00","updated_at":"2026-05-18T03:17:01.451796+00:00"}