{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:5NGPOO4ADXGLU5TRPDFOKPWZNK","short_pith_number":"pith:5NGPOO4A","schema_version":"1.0","canonical_sha256":"eb4cf73b801dccba767178cae53ed96a8d315398cb1257bc6cf31f5b99043b4f","source":{"kind":"arxiv","id":"1012.1066","version":2},"attestation_state":"computed","paper":{"title":"W-graph ideals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RT","authors_text":"Robert B. Howlett, Van M. Nguyen","submitted_at":"2010-12-06T02:22:49Z","abstract_excerpt":"We introduce a concept of a W-graph ideal in a Coxeter group. The main goal of this paper is to describe how to construct a W-graph from a given W-graph ideal. The principal application of this idea is in type A, where it provides an algorithm for the construction of W-graphs for Specht 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":"1012.1066","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-12-06T02:22:49Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"9c514de56d35bfb71f12f139a6507239d981aba0d2ff4e23d3e316ae6f7aa989","abstract_canon_sha256":"7d2cfe20a1a02a3378fdca00885ab1899bdd8ca0c35577b1d4432b29947cecac"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:47.336448Z","signature_b64":"5V7hYdWbHIlSYgnSNuOOnDAprdnq/pX66KuWJs5+p568NdO7nfLfm/NoT3zlLoCwNJ/+51GYIVNhs2wlx6qoBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb4cf73b801dccba767178cae53ed96a8d315398cb1257bc6cf31f5b99043b4f","last_reissued_at":"2026-05-18T04:14:47.335837Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:47.335837Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"W-graph ideals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RT","authors_text":"Robert B. Howlett, Van M. Nguyen","submitted_at":"2010-12-06T02:22:49Z","abstract_excerpt":"We introduce a concept of a W-graph ideal in a Coxeter group. The main goal of this paper is to describe how to construct a W-graph from a given W-graph ideal. The principal application of this idea is in type A, where it provides an algorithm for the construction of W-graphs for Specht modules."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.1066","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":"1012.1066","created_at":"2026-05-18T04:14:47.335947+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.1066v2","created_at":"2026-05-18T04:14:47.335947+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.1066","created_at":"2026-05-18T04:14:47.335947+00:00"},{"alias_kind":"pith_short_12","alias_value":"5NGPOO4ADXGL","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"5NGPOO4ADXGLU5TR","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"5NGPOO4A","created_at":"2026-05-18T12:26:04.259169+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/5NGPOO4ADXGLU5TRPDFOKPWZNK","json":"https://pith.science/pith/5NGPOO4ADXGLU5TRPDFOKPWZNK.json","graph_json":"https://pith.science/api/pith-number/5NGPOO4ADXGLU5TRPDFOKPWZNK/graph.json","events_json":"https://pith.science/api/pith-number/5NGPOO4ADXGLU5TRPDFOKPWZNK/events.json","paper":"https://pith.science/paper/5NGPOO4A"},"agent_actions":{"view_html":"https://pith.science/pith/5NGPOO4ADXGLU5TRPDFOKPWZNK","download_json":"https://pith.science/pith/5NGPOO4ADXGLU5TRPDFOKPWZNK.json","view_paper":"https://pith.science/paper/5NGPOO4A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.1066&json=true","fetch_graph":"https://pith.science/api/pith-number/5NGPOO4ADXGLU5TRPDFOKPWZNK/graph.json","fetch_events":"https://pith.science/api/pith-number/5NGPOO4ADXGLU5TRPDFOKPWZNK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5NGPOO4ADXGLU5TRPDFOKPWZNK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5NGPOO4ADXGLU5TRPDFOKPWZNK/action/storage_attestation","attest_author":"https://pith.science/pith/5NGPOO4ADXGLU5TRPDFOKPWZNK/action/author_attestation","sign_citation":"https://pith.science/pith/5NGPOO4ADXGLU5TRPDFOKPWZNK/action/citation_signature","submit_replication":"https://pith.science/pith/5NGPOO4ADXGLU5TRPDFOKPWZNK/action/replication_record"}},"created_at":"2026-05-18T04:14:47.335947+00:00","updated_at":"2026-05-18T04:14:47.335947+00:00"}