{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:TPOJL2UG54CR3UKPTYVNRMBLKV","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":"8e336243450115b15c9b10b146035b2d143b0ef10b1f826453bc26817d3e6567","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-06-16T17:32:52Z","title_canon_sha256":"66a4a17425bd4446ae551afb5c53930847fe661056c629bc08acb8b04485452c"},"schema_version":"1.0","source":{"id":"1906.06733","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.06733","created_at":"2026-05-17T23:43:12Z"},{"alias_kind":"arxiv_version","alias_value":"1906.06733v1","created_at":"2026-05-17T23:43:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.06733","created_at":"2026-05-17T23:43:12Z"},{"alias_kind":"pith_short_12","alias_value":"TPOJL2UG54CR","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"TPOJL2UG54CR3UKP","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"TPOJL2UG","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:3d2d683d09935722c399f1feddac4be81c3a9b1051ac0b6eb6660d3a7e6477e9","target":"graph","created_at":"2026-05-17T23:43:12Z","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":"J. Pevtsova and the author constructed a ``universal $p$-nilpotent operator\" for an infinitesimal group scheme $G$ over a field $k$ of characteristic $p > 0$ which led to coherent sheaves on the scheme of 1-parameter subgroups of $G$ associated to a $G$-module $M$. Of special interest is the fact that these coherent sheaves are vector bundles if $M$ is of constant Jordan type. In this paper, we provide similar invariants for a finite group $\\tau$ which recover the invariants earlier obtained for elementary abelian $p$-groups. To do this, we replace the analogue of 1-parameter subgroups by a re","authors_text":"Eric M. Friedlander","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-06-16T17:32:52Z","title":"Geometric Invariants of Representations of Finite Groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.06733","kind":"arxiv","version":1},"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":"sha256:788f2dd703fa1c6a367e49d93ccb0cd7a5c27752c7044be37d3cf2605464e3ca","target":"record","created_at":"2026-05-17T23:43:12Z","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":"8e336243450115b15c9b10b146035b2d143b0ef10b1f826453bc26817d3e6567","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-06-16T17:32:52Z","title_canon_sha256":"66a4a17425bd4446ae551afb5c53930847fe661056c629bc08acb8b04485452c"},"schema_version":"1.0","source":{"id":"1906.06733","kind":"arxiv","version":1}},"canonical_sha256":"9bdc95ea86ef051dd14f9e2ad8b02b5575116cec6b936e17931c536065aa20c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9bdc95ea86ef051dd14f9e2ad8b02b5575116cec6b936e17931c536065aa20c4","first_computed_at":"2026-05-17T23:43:12.830591Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:12.830591Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GLXKiMuq1jeWnJSXfKZvMtT4M3uid5t1ljT++dvqY0QbL2oyhgXx9122sxa3gxeYBKwAUc4Ozi2t7cf01SHEBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:12.831210Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.06733","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:788f2dd703fa1c6a367e49d93ccb0cd7a5c27752c7044be37d3cf2605464e3ca","sha256:3d2d683d09935722c399f1feddac4be81c3a9b1051ac0b6eb6660d3a7e6477e9"],"state_sha256":"6a79f01e1a28caab8a9690fd02d716e935b8e38e5a62ac090aa51ba2eb3d122e"}