{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:SQ2SB52UX7NRGJIFRULGLSE6GC","short_pith_number":"pith:SQ2SB52U","schema_version":"1.0","canonical_sha256":"943520f754bfdb1325058d1665c89e30a3cd6054c19c77e5bf909821d3347a76","source":{"kind":"arxiv","id":"1712.05434","version":2},"attestation_state":"computed","paper":{"title":"On the cohomological spectrum and support varieties for infinitesimal unipotent supergroup schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RT","authors_text":"Christopher M. Drupieski, Jonathan R. Kujawa","submitted_at":"2017-12-14T20:01:53Z","abstract_excerpt":"We show that if $G$ is an infinitesimal elementary supergroup scheme of height $\\leq r$, then the cohomological spectrum $|G|$ of $G$ is naturally homeomorphic to the variety $\\mathcal{N}_r(G)$ of supergroup homomorphisms $\\rho: \\mathbb{M}_r \\rightarrow G$ from a certain (non-algebraic) affine supergroup scheme $\\mathbb{M}_r$ into $G$. In the case $r=1$, we further identify the cohomological support variety of a finite-dimensional $G$-supermodule $M$ as a subset of $\\mathcal{N}_1(G)$. We then discuss how our methods, when combined with recently-announced results by Benson, Iyengar, Krause, and"},"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":"1712.05434","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-12-14T20:01:53Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"e1732d6b89d68c961f724e9524154d6451fdaa0203b9d23aeb49dbb4f8ea48d6","abstract_canon_sha256":"d6b9cfeec23de891c64671b64e86eb3a455a2f282983483bfc1519f6e321a96b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:29.344000Z","signature_b64":"wUFUXE2o3sJaiY567Gn5H9J5MjtwHjq6BqgaD+H2mEdQul9R7jljtZajaaQ17ZxwyLo5L4ZQuG7bQXL7p6ZdAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"943520f754bfdb1325058d1665c89e30a3cd6054c19c77e5bf909821d3347a76","last_reissued_at":"2026-05-17T23:52:29.343354Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:29.343354Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the cohomological spectrum and support varieties for infinitesimal unipotent supergroup schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RT","authors_text":"Christopher M. Drupieski, Jonathan R. Kujawa","submitted_at":"2017-12-14T20:01:53Z","abstract_excerpt":"We show that if $G$ is an infinitesimal elementary supergroup scheme of height $\\leq r$, then the cohomological spectrum $|G|$ of $G$ is naturally homeomorphic to the variety $\\mathcal{N}_r(G)$ of supergroup homomorphisms $\\rho: \\mathbb{M}_r \\rightarrow G$ from a certain (non-algebraic) affine supergroup scheme $\\mathbb{M}_r$ into $G$. In the case $r=1$, we further identify the cohomological support variety of a finite-dimensional $G$-supermodule $M$ as a subset of $\\mathcal{N}_1(G)$. We then discuss how our methods, when combined with recently-announced results by Benson, Iyengar, Krause, and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.05434","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":"1712.05434","created_at":"2026-05-17T23:52:29.343446+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.05434v2","created_at":"2026-05-17T23:52:29.343446+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.05434","created_at":"2026-05-17T23:52:29.343446+00:00"},{"alias_kind":"pith_short_12","alias_value":"SQ2SB52UX7NR","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"SQ2SB52UX7NRGJIF","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"SQ2SB52U","created_at":"2026-05-18T12:31:43.269735+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/SQ2SB52UX7NRGJIFRULGLSE6GC","json":"https://pith.science/pith/SQ2SB52UX7NRGJIFRULGLSE6GC.json","graph_json":"https://pith.science/api/pith-number/SQ2SB52UX7NRGJIFRULGLSE6GC/graph.json","events_json":"https://pith.science/api/pith-number/SQ2SB52UX7NRGJIFRULGLSE6GC/events.json","paper":"https://pith.science/paper/SQ2SB52U"},"agent_actions":{"view_html":"https://pith.science/pith/SQ2SB52UX7NRGJIFRULGLSE6GC","download_json":"https://pith.science/pith/SQ2SB52UX7NRGJIFRULGLSE6GC.json","view_paper":"https://pith.science/paper/SQ2SB52U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.05434&json=true","fetch_graph":"https://pith.science/api/pith-number/SQ2SB52UX7NRGJIFRULGLSE6GC/graph.json","fetch_events":"https://pith.science/api/pith-number/SQ2SB52UX7NRGJIFRULGLSE6GC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SQ2SB52UX7NRGJIFRULGLSE6GC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SQ2SB52UX7NRGJIFRULGLSE6GC/action/storage_attestation","attest_author":"https://pith.science/pith/SQ2SB52UX7NRGJIFRULGLSE6GC/action/author_attestation","sign_citation":"https://pith.science/pith/SQ2SB52UX7NRGJIFRULGLSE6GC/action/citation_signature","submit_replication":"https://pith.science/pith/SQ2SB52UX7NRGJIFRULGLSE6GC/action/replication_record"}},"created_at":"2026-05-17T23:52:29.343446+00:00","updated_at":"2026-05-17T23:52:29.343446+00:00"}