{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:LPSEL4UJBFYR5TH3MQHH75JAQ6","short_pith_number":"pith:LPSEL4UJ","schema_version":"1.0","canonical_sha256":"5be445f28909711eccfb640e7ff52087bd067407d5a0909761e4540b19ccc7c5","source":{"kind":"arxiv","id":"1512.03420","version":3},"attestation_state":"computed","paper":{"title":"On supergroups and their semisimplified representation categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Thorsten Heidersdorf","submitted_at":"2015-12-10T20:58:52Z","abstract_excerpt":"The representation category $\\mathcal{A} = Rep(G,\\epsilon)$ of a supergroup scheme $G$ has a largest proper tensor ideal, the ideal $\\mathcal{N}$ of negligible morphisms. If we divide $\\mathcal{A}$ by $\\mathcal{N}$ we get the semisimple representation category of a pro-reductive supergroup scheme $G^{red}$. We list some of its properties and determine $G^{red}$ in the case $GL(m|1)$."},"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":"1512.03420","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-12-10T20:58:52Z","cross_cats_sorted":[],"title_canon_sha256":"2a53f336e7415e04501b2d9f26079757a81a1e8cbb4e2859f67f13fd8ba69aad","abstract_canon_sha256":"42a70760c227b2abf5f5e2f89429d7338fc5f0e8365cb8986df62f043be4a7a0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:09.680907Z","signature_b64":"C/WiFKEEdo1X9JZuphCRxhvO3T8Kn7ZitbJHPrWmPA7GR3jsX1ff3SJJvxetEviZF7jWBGS7DKYl7SxJglWCBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5be445f28909711eccfb640e7ff52087bd067407d5a0909761e4540b19ccc7c5","last_reissued_at":"2026-05-18T00:17:09.680181Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:09.680181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On supergroups and their semisimplified representation categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Thorsten Heidersdorf","submitted_at":"2015-12-10T20:58:52Z","abstract_excerpt":"The representation category $\\mathcal{A} = Rep(G,\\epsilon)$ of a supergroup scheme $G$ has a largest proper tensor ideal, the ideal $\\mathcal{N}$ of negligible morphisms. If we divide $\\mathcal{A}$ by $\\mathcal{N}$ we get the semisimple representation category of a pro-reductive supergroup scheme $G^{red}$. We list some of its properties and determine $G^{red}$ in the case $GL(m|1)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.03420","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":"1512.03420","created_at":"2026-05-18T00:17:09.680305+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.03420v3","created_at":"2026-05-18T00:17:09.680305+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.03420","created_at":"2026-05-18T00:17:09.680305+00:00"},{"alias_kind":"pith_short_12","alias_value":"LPSEL4UJBFYR","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_16","alias_value":"LPSEL4UJBFYR5TH3","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_8","alias_value":"LPSEL4UJ","created_at":"2026-05-18T12:29:29.992203+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/LPSEL4UJBFYR5TH3MQHH75JAQ6","json":"https://pith.science/pith/LPSEL4UJBFYR5TH3MQHH75JAQ6.json","graph_json":"https://pith.science/api/pith-number/LPSEL4UJBFYR5TH3MQHH75JAQ6/graph.json","events_json":"https://pith.science/api/pith-number/LPSEL4UJBFYR5TH3MQHH75JAQ6/events.json","paper":"https://pith.science/paper/LPSEL4UJ"},"agent_actions":{"view_html":"https://pith.science/pith/LPSEL4UJBFYR5TH3MQHH75JAQ6","download_json":"https://pith.science/pith/LPSEL4UJBFYR5TH3MQHH75JAQ6.json","view_paper":"https://pith.science/paper/LPSEL4UJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.03420&json=true","fetch_graph":"https://pith.science/api/pith-number/LPSEL4UJBFYR5TH3MQHH75JAQ6/graph.json","fetch_events":"https://pith.science/api/pith-number/LPSEL4UJBFYR5TH3MQHH75JAQ6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LPSEL4UJBFYR5TH3MQHH75JAQ6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LPSEL4UJBFYR5TH3MQHH75JAQ6/action/storage_attestation","attest_author":"https://pith.science/pith/LPSEL4UJBFYR5TH3MQHH75JAQ6/action/author_attestation","sign_citation":"https://pith.science/pith/LPSEL4UJBFYR5TH3MQHH75JAQ6/action/citation_signature","submit_replication":"https://pith.science/pith/LPSEL4UJBFYR5TH3MQHH75JAQ6/action/replication_record"}},"created_at":"2026-05-18T00:17:09.680305+00:00","updated_at":"2026-05-18T00:17:09.680305+00:00"}