{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:SJFLGENJSQSANU6LNHJIEP57DQ","short_pith_number":"pith:SJFLGENJ","schema_version":"1.0","canonical_sha256":"924ab311a9942406d3cb69d2823fbf1c0e7d0c553a1551198dd850864366abf3","source":{"kind":"arxiv","id":"1205.0446","version":1},"attestation_state":"computed","paper":{"title":"Menger algebras of $n$-place functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Valentin S. Trokhimenko, Wieslaw A. Dudek","submitted_at":"2012-04-29T21:21:39Z","abstract_excerpt":"It is a survey of the main results on abstract characterizations of algebras of $n$-place functions obtained in the last 40 years. A special attention is paid to those algebras of $n$-place functions which are strongly connected with groups and semigroups, and to algebras of functions closed with respect natural relations defined on their domains."},"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":"1205.0446","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2012-04-29T21:21:39Z","cross_cats_sorted":[],"title_canon_sha256":"54d3facbd8f8887b91fc86a1ad00275994f85b450a88db2a8a13754806bb2fe4","abstract_canon_sha256":"0144602ac6ee56969fef61a7348ed5c49181db2f1d6d19f5d79f413891dad3b5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:34.520264Z","signature_b64":"FBL8OcDaRanUalsPh5Vp6vyeiFdLsSO5WhCLsVQ7pyIUUYYtIKyVsJ7epuI1Dy7GLSTYzHH7LJUUnsy7tPf/Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"924ab311a9942406d3cb69d2823fbf1c0e7d0c553a1551198dd850864366abf3","last_reissued_at":"2026-05-18T03:56:34.519431Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:34.519431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Menger algebras of $n$-place functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Valentin S. Trokhimenko, Wieslaw A. Dudek","submitted_at":"2012-04-29T21:21:39Z","abstract_excerpt":"It is a survey of the main results on abstract characterizations of algebras of $n$-place functions obtained in the last 40 years. A special attention is paid to those algebras of $n$-place functions which are strongly connected with groups and semigroups, and to algebras of functions closed with respect natural relations defined on their domains."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.0446","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":"1205.0446","created_at":"2026-05-18T03:56:34.519557+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.0446v1","created_at":"2026-05-18T03:56:34.519557+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.0446","created_at":"2026-05-18T03:56:34.519557+00:00"},{"alias_kind":"pith_short_12","alias_value":"SJFLGENJSQSA","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_16","alias_value":"SJFLGENJSQSANU6L","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_8","alias_value":"SJFLGENJ","created_at":"2026-05-18T12:27:20.899486+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/SJFLGENJSQSANU6LNHJIEP57DQ","json":"https://pith.science/pith/SJFLGENJSQSANU6LNHJIEP57DQ.json","graph_json":"https://pith.science/api/pith-number/SJFLGENJSQSANU6LNHJIEP57DQ/graph.json","events_json":"https://pith.science/api/pith-number/SJFLGENJSQSANU6LNHJIEP57DQ/events.json","paper":"https://pith.science/paper/SJFLGENJ"},"agent_actions":{"view_html":"https://pith.science/pith/SJFLGENJSQSANU6LNHJIEP57DQ","download_json":"https://pith.science/pith/SJFLGENJSQSANU6LNHJIEP57DQ.json","view_paper":"https://pith.science/paper/SJFLGENJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.0446&json=true","fetch_graph":"https://pith.science/api/pith-number/SJFLGENJSQSANU6LNHJIEP57DQ/graph.json","fetch_events":"https://pith.science/api/pith-number/SJFLGENJSQSANU6LNHJIEP57DQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SJFLGENJSQSANU6LNHJIEP57DQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SJFLGENJSQSANU6LNHJIEP57DQ/action/storage_attestation","attest_author":"https://pith.science/pith/SJFLGENJSQSANU6LNHJIEP57DQ/action/author_attestation","sign_citation":"https://pith.science/pith/SJFLGENJSQSANU6LNHJIEP57DQ/action/citation_signature","submit_replication":"https://pith.science/pith/SJFLGENJSQSANU6LNHJIEP57DQ/action/replication_record"}},"created_at":"2026-05-18T03:56:34.519557+00:00","updated_at":"2026-05-18T03:56:34.519557+00:00"}