{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:V3KZLQHN6TRLWCGSAHQM52C4Q7","short_pith_number":"pith:V3KZLQHN","schema_version":"1.0","canonical_sha256":"aed595c0edf4e2bb08d201e0cee85c87d4bff7b41a239c1cc4f544dea18dd2ed","source":{"kind":"arxiv","id":"1405.0783","version":1},"attestation_state":"computed","paper":{"title":"The Finite Basis Problem for Kauffman Monoids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Karl Auinger, Mikhail Volkov, Xun Hu, Yanfeng Luo, Yuzhu Chen","submitted_at":"2014-05-05T05:34:09Z","abstract_excerpt":"We prove a sufficient condition under which a semigroup admits no finite identity basis. As an application, it is shown that the identities of the Kauffman monoid $\\mathcal{K}_n$ are nonfinitely based for each $n\\ge 3$. This result holds also for the case when $\\mathcal{K}_n$ is considered as an involution semigroup under either of its natural involutions."},"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":"1405.0783","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-05-05T05:34:09Z","cross_cats_sorted":[],"title_canon_sha256":"dc9996a88b2a09537770129b3e291fe49fa5ba7577deeb7ccce540640e566559","abstract_canon_sha256":"d34d685ab6a37791caaa4df3c0aef8f3140ec327447e479a9865c87b3a9f1553"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:40.711571Z","signature_b64":"6xNnERHj+JzRWAGyS0uMHDD8szmF7gcDhThdGGUFBnV34gZuwyxQBv1UgNH7h8/z3wuzqXJmkljohm6yShUYDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aed595c0edf4e2bb08d201e0cee85c87d4bff7b41a239c1cc4f544dea18dd2ed","last_reissued_at":"2026-05-18T02:52:40.711080Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:40.711080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Finite Basis Problem for Kauffman Monoids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Karl Auinger, Mikhail Volkov, Xun Hu, Yanfeng Luo, Yuzhu Chen","submitted_at":"2014-05-05T05:34:09Z","abstract_excerpt":"We prove a sufficient condition under which a semigroup admits no finite identity basis. As an application, it is shown that the identities of the Kauffman monoid $\\mathcal{K}_n$ are nonfinitely based for each $n\\ge 3$. This result holds also for the case when $\\mathcal{K}_n$ is considered as an involution semigroup under either of its natural involutions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0783","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":"1405.0783","created_at":"2026-05-18T02:52:40.711156+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.0783v1","created_at":"2026-05-18T02:52:40.711156+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0783","created_at":"2026-05-18T02:52:40.711156+00:00"},{"alias_kind":"pith_short_12","alias_value":"V3KZLQHN6TRL","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_16","alias_value":"V3KZLQHN6TRLWCGS","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_8","alias_value":"V3KZLQHN","created_at":"2026-05-18T12:28:52.271510+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/V3KZLQHN6TRLWCGSAHQM52C4Q7","json":"https://pith.science/pith/V3KZLQHN6TRLWCGSAHQM52C4Q7.json","graph_json":"https://pith.science/api/pith-number/V3KZLQHN6TRLWCGSAHQM52C4Q7/graph.json","events_json":"https://pith.science/api/pith-number/V3KZLQHN6TRLWCGSAHQM52C4Q7/events.json","paper":"https://pith.science/paper/V3KZLQHN"},"agent_actions":{"view_html":"https://pith.science/pith/V3KZLQHN6TRLWCGSAHQM52C4Q7","download_json":"https://pith.science/pith/V3KZLQHN6TRLWCGSAHQM52C4Q7.json","view_paper":"https://pith.science/paper/V3KZLQHN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.0783&json=true","fetch_graph":"https://pith.science/api/pith-number/V3KZLQHN6TRLWCGSAHQM52C4Q7/graph.json","fetch_events":"https://pith.science/api/pith-number/V3KZLQHN6TRLWCGSAHQM52C4Q7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V3KZLQHN6TRLWCGSAHQM52C4Q7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V3KZLQHN6TRLWCGSAHQM52C4Q7/action/storage_attestation","attest_author":"https://pith.science/pith/V3KZLQHN6TRLWCGSAHQM52C4Q7/action/author_attestation","sign_citation":"https://pith.science/pith/V3KZLQHN6TRLWCGSAHQM52C4Q7/action/citation_signature","submit_replication":"https://pith.science/pith/V3KZLQHN6TRLWCGSAHQM52C4Q7/action/replication_record"}},"created_at":"2026-05-18T02:52:40.711156+00:00","updated_at":"2026-05-18T02:52:40.711156+00:00"}