{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:TO2VZQGYVYIXYHYYNZRPUJ4PKV","short_pith_number":"pith:TO2VZQGY","schema_version":"1.0","canonical_sha256":"9bb55cc0d8ae117c1f186e62fa278f555d541447dcb564753f56fefb173ed793","source":{"kind":"arxiv","id":"1106.3654","version":3},"attestation_state":"computed","paper":{"title":"Canonical Left Cells and the Lowest Two-sided Cell in an Affine Weyl Group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Nanhua XI","submitted_at":"2011-06-18T14:57:47Z","abstract_excerpt":"We give some discussions to the relations between canonical left cells and the lowest two-sided cell of an affine Weyl group. In particular, we use the relations to construct irreducible modules attached to the lowest two-sided cell and some one dimensional representations of an affine Hecke algebra."},"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":"1106.3654","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-06-18T14:57:47Z","cross_cats_sorted":[],"title_canon_sha256":"8116a8caf626ced624b06a8917e50f9dfed74ac4e32b6f8293059bdefb394f47","abstract_canon_sha256":"4c80899bc38366062ebe41cbc0d9d4b9f9baae16fdd5aa7d5a9e2e3bcc0a21eb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:11.321124Z","signature_b64":"cj3JsywqpaVJdVzeEBoUtumxhZG2+LgW+Vndixt7ECILCj+7nXwLcGljpT7xkfDCTKneAmczKXfBi1xH9O7ACw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9bb55cc0d8ae117c1f186e62fa278f555d541447dcb564753f56fefb173ed793","last_reissued_at":"2026-05-18T01:10:11.320693Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:11.320693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Canonical Left Cells and the Lowest Two-sided Cell in an Affine Weyl Group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Nanhua XI","submitted_at":"2011-06-18T14:57:47Z","abstract_excerpt":"We give some discussions to the relations between canonical left cells and the lowest two-sided cell of an affine Weyl group. In particular, we use the relations to construct irreducible modules attached to the lowest two-sided cell and some one dimensional representations of an affine Hecke algebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.3654","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":"1106.3654","created_at":"2026-05-18T01:10:11.320760+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.3654v3","created_at":"2026-05-18T01:10:11.320760+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.3654","created_at":"2026-05-18T01:10:11.320760+00:00"},{"alias_kind":"pith_short_12","alias_value":"TO2VZQGYVYIX","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_16","alias_value":"TO2VZQGYVYIXYHYY","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_8","alias_value":"TO2VZQGY","created_at":"2026-05-18T12:26:42.757692+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/TO2VZQGYVYIXYHYYNZRPUJ4PKV","json":"https://pith.science/pith/TO2VZQGYVYIXYHYYNZRPUJ4PKV.json","graph_json":"https://pith.science/api/pith-number/TO2VZQGYVYIXYHYYNZRPUJ4PKV/graph.json","events_json":"https://pith.science/api/pith-number/TO2VZQGYVYIXYHYYNZRPUJ4PKV/events.json","paper":"https://pith.science/paper/TO2VZQGY"},"agent_actions":{"view_html":"https://pith.science/pith/TO2VZQGYVYIXYHYYNZRPUJ4PKV","download_json":"https://pith.science/pith/TO2VZQGYVYIXYHYYNZRPUJ4PKV.json","view_paper":"https://pith.science/paper/TO2VZQGY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.3654&json=true","fetch_graph":"https://pith.science/api/pith-number/TO2VZQGYVYIXYHYYNZRPUJ4PKV/graph.json","fetch_events":"https://pith.science/api/pith-number/TO2VZQGYVYIXYHYYNZRPUJ4PKV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TO2VZQGYVYIXYHYYNZRPUJ4PKV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TO2VZQGYVYIXYHYYNZRPUJ4PKV/action/storage_attestation","attest_author":"https://pith.science/pith/TO2VZQGYVYIXYHYYNZRPUJ4PKV/action/author_attestation","sign_citation":"https://pith.science/pith/TO2VZQGYVYIXYHYYNZRPUJ4PKV/action/citation_signature","submit_replication":"https://pith.science/pith/TO2VZQGYVYIXYHYYNZRPUJ4PKV/action/replication_record"}},"created_at":"2026-05-18T01:10:11.320760+00:00","updated_at":"2026-05-18T01:10:11.320760+00:00"}