{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:T4Z7FCV7RHBIMYH3H4JEYTBDWW","short_pith_number":"pith:T4Z7FCV7","schema_version":"1.0","canonical_sha256":"9f33f28abf89c28660fb3f124c4c23b5bd8bb576a1fdec1f0891783af0a56d00","source":{"kind":"arxiv","id":"1005.3256","version":1},"attestation_state":"computed","paper":{"title":"Expected degree of weights in Demazure modules of $\\hat{sl}_2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Stavros Kousidis, Thomas Bliem","submitted_at":"2010-05-18T17:12:45Z","abstract_excerpt":"We compute the expected degree of a randomly chosen element in a basis of weight vectors in the Demazure module $V_w(\\Lambda)$ of $\\hat{sl}_2$. We obtain en passant a new proof of Sanderson's dimension formula for these Demazure modules."},"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":"1005.3256","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-05-18T17:12:45Z","cross_cats_sorted":[],"title_canon_sha256":"c4b7b1f5d798ee0e7df60646dabf96876e1dde2de4e5c3e2e8a33d7e0567be0b","abstract_canon_sha256":"3094a23144fcd755f0ac6e8c86dff1e58ee5e74c9d4c6b5fa413f5c032cd0185"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:54.662339Z","signature_b64":"Eb1xK3+2GBLVDS7sVXIe5LghuQQK8l03NOs1MxzX5nUkhlIb10zPbjMcPOpPAgm8ROkHWmJasGj0j0LeyE1hCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9f33f28abf89c28660fb3f124c4c23b5bd8bb576a1fdec1f0891783af0a56d00","last_reissued_at":"2026-05-18T04:09:54.661622Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:54.661622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Expected degree of weights in Demazure modules of $\\hat{sl}_2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Stavros Kousidis, Thomas Bliem","submitted_at":"2010-05-18T17:12:45Z","abstract_excerpt":"We compute the expected degree of a randomly chosen element in a basis of weight vectors in the Demazure module $V_w(\\Lambda)$ of $\\hat{sl}_2$. We obtain en passant a new proof of Sanderson's dimension formula for these Demazure modules."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.3256","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":"1005.3256","created_at":"2026-05-18T04:09:54.661739+00:00"},{"alias_kind":"arxiv_version","alias_value":"1005.3256v1","created_at":"2026-05-18T04:09:54.661739+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.3256","created_at":"2026-05-18T04:09:54.661739+00:00"},{"alias_kind":"pith_short_12","alias_value":"T4Z7FCV7RHBI","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_16","alias_value":"T4Z7FCV7RHBIMYH3","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_8","alias_value":"T4Z7FCV7","created_at":"2026-05-18T12:26:13.927090+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/T4Z7FCV7RHBIMYH3H4JEYTBDWW","json":"https://pith.science/pith/T4Z7FCV7RHBIMYH3H4JEYTBDWW.json","graph_json":"https://pith.science/api/pith-number/T4Z7FCV7RHBIMYH3H4JEYTBDWW/graph.json","events_json":"https://pith.science/api/pith-number/T4Z7FCV7RHBIMYH3H4JEYTBDWW/events.json","paper":"https://pith.science/paper/T4Z7FCV7"},"agent_actions":{"view_html":"https://pith.science/pith/T4Z7FCV7RHBIMYH3H4JEYTBDWW","download_json":"https://pith.science/pith/T4Z7FCV7RHBIMYH3H4JEYTBDWW.json","view_paper":"https://pith.science/paper/T4Z7FCV7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1005.3256&json=true","fetch_graph":"https://pith.science/api/pith-number/T4Z7FCV7RHBIMYH3H4JEYTBDWW/graph.json","fetch_events":"https://pith.science/api/pith-number/T4Z7FCV7RHBIMYH3H4JEYTBDWW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/T4Z7FCV7RHBIMYH3H4JEYTBDWW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/T4Z7FCV7RHBIMYH3H4JEYTBDWW/action/storage_attestation","attest_author":"https://pith.science/pith/T4Z7FCV7RHBIMYH3H4JEYTBDWW/action/author_attestation","sign_citation":"https://pith.science/pith/T4Z7FCV7RHBIMYH3H4JEYTBDWW/action/citation_signature","submit_replication":"https://pith.science/pith/T4Z7FCV7RHBIMYH3H4JEYTBDWW/action/replication_record"}},"created_at":"2026-05-18T04:09:54.661739+00:00","updated_at":"2026-05-18T04:09:54.661739+00:00"}