{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:H2TOUJ6OI6GWZDGQ432CQKZLNZ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"bdb29726e2bd1e747cc1ee19a716c556cc2158c0bbf05650874beae5ebdc3fa1","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-28T11:02:42Z","title_canon_sha256":"dad4e953c9c069a099f905f3590cabd7221c33b309ae9599b408b78ffa48921d"},"schema_version":"1.0","source":{"id":"1412.8148","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.8148","created_at":"2026-05-18T00:38:11Z"},{"alias_kind":"arxiv_version","alias_value":"1412.8148v2","created_at":"2026-05-18T00:38:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.8148","created_at":"2026-05-18T00:38:11Z"},{"alias_kind":"pith_short_12","alias_value":"H2TOUJ6OI6GW","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"H2TOUJ6OI6GWZDGQ","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"H2TOUJ6O","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:7db8180080d8ebf848584e039c5712b139266c31f29859d029c52f86250358e1","target":"graph","created_at":"2026-05-18T00:38:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"For d > 1, we consider the Veronese map of degree d on a complex vector space W , Ver_d : W -> Sym^d W , w -> w^d , and denote its image by Z. We describe the characters of the simple GL(W)-equivariant holonomic D-modules supported on Z. In the case when d is 2, we obtain a counterexample to a conjecture of Levasseur by exhibiting a GL(W)-equivariant D-module on the Capelli type representation Sym^2 W which contains no SL(W)-invariant sections. We also study the local cohomology modules H_Z^j(S), where S is the ring of polynomial functions on the vector space Sym^d W. We recover a result of Og","authors_text":"Claudiu Raicu","cross_cats":["math.AC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-28T11:02:42Z","title":"Characters of equivariant D-modules on Veronese cones"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.8148","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0b9e79b69b451c611c0d758ab34df80d9334cc79e40be671a42519ddb41bcd88","target":"record","created_at":"2026-05-18T00:38:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"bdb29726e2bd1e747cc1ee19a716c556cc2158c0bbf05650874beae5ebdc3fa1","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-28T11:02:42Z","title_canon_sha256":"dad4e953c9c069a099f905f3590cabd7221c33b309ae9599b408b78ffa48921d"},"schema_version":"1.0","source":{"id":"1412.8148","kind":"arxiv","version":2}},"canonical_sha256":"3ea6ea27ce478d6c8cd0e6f4282b2b6e5b3658fbbfa7969c26caeb5eaa1bf8e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ea6ea27ce478d6c8cd0e6f4282b2b6e5b3658fbbfa7969c26caeb5eaa1bf8e5","first_computed_at":"2026-05-18T00:38:11.994082Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:11.994082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2Yw1UmXTTxW5rg7wGRlEUfN2Kat55xzeyqm0bFGhvGiNjQ1xy5Xza2IoC8ZDxFdND3VWzcUGqJRMOZ+n+PS6CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:11.994735Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.8148","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b9e79b69b451c611c0d758ab34df80d9334cc79e40be671a42519ddb41bcd88","sha256:7db8180080d8ebf848584e039c5712b139266c31f29859d029c52f86250358e1"],"state_sha256":"a0eed18b67dbda6b2eb0eed3f057f4984dc41b073937a704aa349f8097bb8c57"}