{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:EZYKV5HWFO2JIFL5UDCPEQYPVS","short_pith_number":"pith:EZYKV5HW","schema_version":"1.0","canonical_sha256":"2670aaf4f62bb494157da0c4f2430faca3e67fa3fdbdc7069b7cf955036f740d","source":{"kind":"arxiv","id":"1012.5233","version":1},"attestation_state":"computed","paper":{"title":"Selected results on Lie supergroups and their radial operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Alan Huckleberry, Matthias Kalus","submitted_at":"2010-12-23T15:38:35Z","abstract_excerpt":"Foundational material on complex Lie supergroups and their radial operators is presented. In particular, Berezin's recursion formula for describing the radial parts of fundamental operators in general linear and ortho-symplectic cases is proved. Local versions of results which are suitable for applications for computing characters which are only defined on proper subdomains or covering spaces thereof are established."},"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":"1012.5233","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-12-23T15:38:35Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"a958d80c4c0fa3aa4888004736ce5739c74b97dbfd70593754a043c15e65f3f6","abstract_canon_sha256":"26f1544472bba7fb4bcc12a71e7f8ea4fde59a9708b283d40573ae352836eb92"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:35.556830Z","signature_b64":"t0WqlHwimhYOqzB68zD+j4uiAhoGlTj/9CpemklMkW/CGPRkafo0dVWnUsHLmzRtiaKMUYuq1ayZRX6GAd4oBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2670aaf4f62bb494157da0c4f2430faca3e67fa3fdbdc7069b7cf955036f740d","last_reissued_at":"2026-05-18T04:32:35.556346Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:35.556346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Selected results on Lie supergroups and their radial operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Alan Huckleberry, Matthias Kalus","submitted_at":"2010-12-23T15:38:35Z","abstract_excerpt":"Foundational material on complex Lie supergroups and their radial operators is presented. In particular, Berezin's recursion formula for describing the radial parts of fundamental operators in general linear and ortho-symplectic cases is proved. Local versions of results which are suitable for applications for computing characters which are only defined on proper subdomains or covering spaces thereof are established."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5233","kind":"arxiv","version":1},"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":"1012.5233","created_at":"2026-05-18T04:32:35.556418+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.5233v1","created_at":"2026-05-18T04:32:35.556418+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5233","created_at":"2026-05-18T04:32:35.556418+00:00"},{"alias_kind":"pith_short_12","alias_value":"EZYKV5HWFO2J","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"EZYKV5HWFO2JIFL5","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"EZYKV5HW","created_at":"2026-05-18T12:26:06.534383+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/EZYKV5HWFO2JIFL5UDCPEQYPVS","json":"https://pith.science/pith/EZYKV5HWFO2JIFL5UDCPEQYPVS.json","graph_json":"https://pith.science/api/pith-number/EZYKV5HWFO2JIFL5UDCPEQYPVS/graph.json","events_json":"https://pith.science/api/pith-number/EZYKV5HWFO2JIFL5UDCPEQYPVS/events.json","paper":"https://pith.science/paper/EZYKV5HW"},"agent_actions":{"view_html":"https://pith.science/pith/EZYKV5HWFO2JIFL5UDCPEQYPVS","download_json":"https://pith.science/pith/EZYKV5HWFO2JIFL5UDCPEQYPVS.json","view_paper":"https://pith.science/paper/EZYKV5HW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.5233&json=true","fetch_graph":"https://pith.science/api/pith-number/EZYKV5HWFO2JIFL5UDCPEQYPVS/graph.json","fetch_events":"https://pith.science/api/pith-number/EZYKV5HWFO2JIFL5UDCPEQYPVS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EZYKV5HWFO2JIFL5UDCPEQYPVS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EZYKV5HWFO2JIFL5UDCPEQYPVS/action/storage_attestation","attest_author":"https://pith.science/pith/EZYKV5HWFO2JIFL5UDCPEQYPVS/action/author_attestation","sign_citation":"https://pith.science/pith/EZYKV5HWFO2JIFL5UDCPEQYPVS/action/citation_signature","submit_replication":"https://pith.science/pith/EZYKV5HWFO2JIFL5UDCPEQYPVS/action/replication_record"}},"created_at":"2026-05-18T04:32:35.556418+00:00","updated_at":"2026-05-18T04:32:35.556418+00:00"}