{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:HKB3HPUYE22YSIZIREW7N3WXB3","short_pith_number":"pith:HKB3HPUY","schema_version":"1.0","canonical_sha256":"3a83b3be9826b5892328892df6eed70ee042ae71b774d56d7ae64279de68eaf7","source":{"kind":"arxiv","id":"1201.2741","version":2},"attestation_state":"computed","paper":{"title":"Module Invariants and Blocks of Finite Group Schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Paul Sobaje","submitted_at":"2012-01-13T04:54:53Z","abstract_excerpt":"We investigate various topological spaces and varieties which can be associated to a block of a finite group scheme G. These spaces come from the theory of cohomological support varieties for modules, as well as from the representation-theoretic constructions of E. Friedlander and J. Pevtsova."},"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":"1201.2741","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2012-01-13T04:54:53Z","cross_cats_sorted":[],"title_canon_sha256":"1e7331336d7ae98519edafa90f941d6c2f3b3571c1fbaab9f522d01a4d912b46","abstract_canon_sha256":"609e83913695d01d250c600898c2402efc75b7f34645274a639b44b39e3f9cb9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:57:53.888727Z","signature_b64":"W7nqSYsZvYXeXLEXAdOXwXx4TL0M9/ppThKMtJJdPbt4l94DexMELphoYIP3LY/Hyx+NioMqQq/yC0ARmelwAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a83b3be9826b5892328892df6eed70ee042ae71b774d56d7ae64279de68eaf7","last_reissued_at":"2026-05-18T02:57:53.888159Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:57:53.888159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Module Invariants and Blocks of Finite Group Schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Paul Sobaje","submitted_at":"2012-01-13T04:54:53Z","abstract_excerpt":"We investigate various topological spaces and varieties which can be associated to a block of a finite group scheme G. These spaces come from the theory of cohomological support varieties for modules, as well as from the representation-theoretic constructions of E. Friedlander and J. Pevtsova."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.2741","kind":"arxiv","version":2},"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":"1201.2741","created_at":"2026-05-18T02:57:53.888246+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.2741v2","created_at":"2026-05-18T02:57:53.888246+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.2741","created_at":"2026-05-18T02:57:53.888246+00:00"},{"alias_kind":"pith_short_12","alias_value":"HKB3HPUYE22Y","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_16","alias_value":"HKB3HPUYE22YSIZI","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_8","alias_value":"HKB3HPUY","created_at":"2026-05-18T12:27:09.501522+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/HKB3HPUYE22YSIZIREW7N3WXB3","json":"https://pith.science/pith/HKB3HPUYE22YSIZIREW7N3WXB3.json","graph_json":"https://pith.science/api/pith-number/HKB3HPUYE22YSIZIREW7N3WXB3/graph.json","events_json":"https://pith.science/api/pith-number/HKB3HPUYE22YSIZIREW7N3WXB3/events.json","paper":"https://pith.science/paper/HKB3HPUY"},"agent_actions":{"view_html":"https://pith.science/pith/HKB3HPUYE22YSIZIREW7N3WXB3","download_json":"https://pith.science/pith/HKB3HPUYE22YSIZIREW7N3WXB3.json","view_paper":"https://pith.science/paper/HKB3HPUY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.2741&json=true","fetch_graph":"https://pith.science/api/pith-number/HKB3HPUYE22YSIZIREW7N3WXB3/graph.json","fetch_events":"https://pith.science/api/pith-number/HKB3HPUYE22YSIZIREW7N3WXB3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HKB3HPUYE22YSIZIREW7N3WXB3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HKB3HPUYE22YSIZIREW7N3WXB3/action/storage_attestation","attest_author":"https://pith.science/pith/HKB3HPUYE22YSIZIREW7N3WXB3/action/author_attestation","sign_citation":"https://pith.science/pith/HKB3HPUYE22YSIZIREW7N3WXB3/action/citation_signature","submit_replication":"https://pith.science/pith/HKB3HPUYE22YSIZIREW7N3WXB3/action/replication_record"}},"created_at":"2026-05-18T02:57:53.888246+00:00","updated_at":"2026-05-18T02:57:53.888246+00:00"}