{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:ENE66J2LWESANEF6BXOEECVHSZ","short_pith_number":"pith:ENE66J2L","schema_version":"1.0","canonical_sha256":"2349ef274bb1240690be0ddc420aa796615d1318ac36153b172d3dc57411d091","source":{"kind":"arxiv","id":"1511.03619","version":3},"attestation_state":"computed","paper":{"title":"Modular Invariants of a Vector and a Covector: a proof of a conjecture of Bonnaf\\'e and Kemper","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"David L. Wehlau, Yin Chen","submitted_at":"2015-11-11T19:39:47Z","abstract_excerpt":"Consider a finite dimensional vector space $V$ over a finite field $\\mathbb{F}_q$. We give a minimal generating set for the ring of invariants $\\mathbb{F}_q[V \\oplus V^*]^{\\text{GL}(V)}$, and show that this ring is a Gorenstein ring but is not a complete intersection. These results confirm a conjecture of Bonnaf\\'e and Kemper."},"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":"1511.03619","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-11-11T19:39:47Z","cross_cats_sorted":[],"title_canon_sha256":"da359c524e1ca7bbfde617c30da8a610939569a8a0c24199f8dca34704839d7c","abstract_canon_sha256":"5d48a084f36db74f5ab1095468c9f2fb7d4d8c18c94ad6eb53b0346d39bd730e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:06.855998Z","signature_b64":"xxa55DiVgTWeztegByDYa45j9qhuiszrN5HawfLcuuSJCNDxwK1GaAFFdQEy9ZANrNRrN+/DrLvRWGpuyHQLDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2349ef274bb1240690be0ddc420aa796615d1318ac36153b172d3dc57411d091","last_reissued_at":"2026-05-18T01:09:06.855530Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:06.855530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modular Invariants of a Vector and a Covector: a proof of a conjecture of Bonnaf\\'e and Kemper","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"David L. Wehlau, Yin Chen","submitted_at":"2015-11-11T19:39:47Z","abstract_excerpt":"Consider a finite dimensional vector space $V$ over a finite field $\\mathbb{F}_q$. We give a minimal generating set for the ring of invariants $\\mathbb{F}_q[V \\oplus V^*]^{\\text{GL}(V)}$, and show that this ring is a Gorenstein ring but is not a complete intersection. These results confirm a conjecture of Bonnaf\\'e and Kemper."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03619","kind":"arxiv","version":3},"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":"1511.03619","created_at":"2026-05-18T01:09:06.855616+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.03619v3","created_at":"2026-05-18T01:09:06.855616+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03619","created_at":"2026-05-18T01:09:06.855616+00:00"},{"alias_kind":"pith_short_12","alias_value":"ENE66J2LWESA","created_at":"2026-05-18T12:29:19.899920+00:00"},{"alias_kind":"pith_short_16","alias_value":"ENE66J2LWESANEF6","created_at":"2026-05-18T12:29:19.899920+00:00"},{"alias_kind":"pith_short_8","alias_value":"ENE66J2L","created_at":"2026-05-18T12:29:19.899920+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/ENE66J2LWESANEF6BXOEECVHSZ","json":"https://pith.science/pith/ENE66J2LWESANEF6BXOEECVHSZ.json","graph_json":"https://pith.science/api/pith-number/ENE66J2LWESANEF6BXOEECVHSZ/graph.json","events_json":"https://pith.science/api/pith-number/ENE66J2LWESANEF6BXOEECVHSZ/events.json","paper":"https://pith.science/paper/ENE66J2L"},"agent_actions":{"view_html":"https://pith.science/pith/ENE66J2LWESANEF6BXOEECVHSZ","download_json":"https://pith.science/pith/ENE66J2LWESANEF6BXOEECVHSZ.json","view_paper":"https://pith.science/paper/ENE66J2L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.03619&json=true","fetch_graph":"https://pith.science/api/pith-number/ENE66J2LWESANEF6BXOEECVHSZ/graph.json","fetch_events":"https://pith.science/api/pith-number/ENE66J2LWESANEF6BXOEECVHSZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ENE66J2LWESANEF6BXOEECVHSZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ENE66J2LWESANEF6BXOEECVHSZ/action/storage_attestation","attest_author":"https://pith.science/pith/ENE66J2LWESANEF6BXOEECVHSZ/action/author_attestation","sign_citation":"https://pith.science/pith/ENE66J2LWESANEF6BXOEECVHSZ/action/citation_signature","submit_replication":"https://pith.science/pith/ENE66J2LWESANEF6BXOEECVHSZ/action/replication_record"}},"created_at":"2026-05-18T01:09:06.855616+00:00","updated_at":"2026-05-18T01:09:06.855616+00:00"}