{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:YPK6TSZ5UUOQ5FKT3JDFPZHCSO","short_pith_number":"pith:YPK6TSZ5","schema_version":"1.0","canonical_sha256":"c3d5e9cb3da51d0e9553da4657e4e293b507cdf607f06b9d85f777b2bb139e39","source":{"kind":"arxiv","id":"math/0403496","version":2},"attestation_state":"computed","paper":{"title":"Kazhdan-Lusztig-Polynome und unzerlegbare Bimoduln \"uber Polynomringen","license":"","headline":"","cross_cats":["math.CO"],"primary_cat":"math.RT","authors_text":"Wolfgang Soergel","submitted_at":"2004-03-29T15:31:53Z","abstract_excerpt":"We explain a strategy for a proof of the positivity of all coefficients of Kazhdan-Lusztig-polynomials for arbitrary Coxeter groups by constructing spaces whose dimensions we conjecture to be these coefficients."},"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":"math/0403496","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.RT","submitted_at":"2004-03-29T15:31:53Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"0e673ed1aeaeac81b297aeb3b5550af499d66f581f89a0d906c2347a4cf5f7c0","abstract_canon_sha256":"472070d9d9a0e1ed679e095278dd2b5ec7e32b576e05968d72546b32cadfced2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:39:35.622223Z","signature_b64":"rUkZQWM9HqrFDuwj/NU33ULVJJTNrYofmNeQznfuDM+VAcaghfWCcllDizT8E/ICDrk9zdhUStaWUlvhbWQUAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3d5e9cb3da51d0e9553da4657e4e293b507cdf607f06b9d85f777b2bb139e39","last_reissued_at":"2026-07-04T15:39:35.621877Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:39:35.621877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Kazhdan-Lusztig-Polynome und unzerlegbare Bimoduln \"uber Polynomringen","license":"","headline":"","cross_cats":["math.CO"],"primary_cat":"math.RT","authors_text":"Wolfgang Soergel","submitted_at":"2004-03-29T15:31:53Z","abstract_excerpt":"We explain a strategy for a proof of the positivity of all coefficients of Kazhdan-Lusztig-polynomials for arbitrary Coxeter groups by constructing spaces whose dimensions we conjecture to be these coefficients."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0403496","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0403496/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"math/0403496","created_at":"2026-07-04T15:39:35.621939+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0403496v2","created_at":"2026-07-04T15:39:35.621939+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0403496","created_at":"2026-07-04T15:39:35.621939+00:00"},{"alias_kind":"pith_short_12","alias_value":"YPK6TSZ5UUOQ","created_at":"2026-07-04T15:39:35.621939+00:00"},{"alias_kind":"pith_short_16","alias_value":"YPK6TSZ5UUOQ5FKT","created_at":"2026-07-04T15:39:35.621939+00:00"},{"alias_kind":"pith_short_8","alias_value":"YPK6TSZ5","created_at":"2026-07-04T15:39:35.621939+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.10061","citing_title":"Idempotents, traces, and dimensions in Hecke categories","ref_index":49,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YPK6TSZ5UUOQ5FKT3JDFPZHCSO","json":"https://pith.science/pith/YPK6TSZ5UUOQ5FKT3JDFPZHCSO.json","graph_json":"https://pith.science/api/pith-number/YPK6TSZ5UUOQ5FKT3JDFPZHCSO/graph.json","events_json":"https://pith.science/api/pith-number/YPK6TSZ5UUOQ5FKT3JDFPZHCSO/events.json","paper":"https://pith.science/paper/YPK6TSZ5"},"agent_actions":{"view_html":"https://pith.science/pith/YPK6TSZ5UUOQ5FKT3JDFPZHCSO","download_json":"https://pith.science/pith/YPK6TSZ5UUOQ5FKT3JDFPZHCSO.json","view_paper":"https://pith.science/paper/YPK6TSZ5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0403496&json=true","fetch_graph":"https://pith.science/api/pith-number/YPK6TSZ5UUOQ5FKT3JDFPZHCSO/graph.json","fetch_events":"https://pith.science/api/pith-number/YPK6TSZ5UUOQ5FKT3JDFPZHCSO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YPK6TSZ5UUOQ5FKT3JDFPZHCSO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YPK6TSZ5UUOQ5FKT3JDFPZHCSO/action/storage_attestation","attest_author":"https://pith.science/pith/YPK6TSZ5UUOQ5FKT3JDFPZHCSO/action/author_attestation","sign_citation":"https://pith.science/pith/YPK6TSZ5UUOQ5FKT3JDFPZHCSO/action/citation_signature","submit_replication":"https://pith.science/pith/YPK6TSZ5UUOQ5FKT3JDFPZHCSO/action/replication_record"}},"created_at":"2026-07-04T15:39:35.621939+00:00","updated_at":"2026-07-04T15:39:35.621939+00:00"}