{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:2VIEIQTYWOM3HKWLRDPXJBAS4R","short_pith_number":"pith:2VIEIQTY","schema_version":"1.0","canonical_sha256":"d550444278b399b3aacb88df748412e448e2315154eb4142ae5685a3a3cc020d","source":{"kind":"arxiv","id":"1408.6720","version":1},"attestation_state":"computed","paper":{"title":"A cell filtration of mixed tensor space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Friederike Stoll, Mathias Werth","submitted_at":"2014-08-28T13:52:52Z","abstract_excerpt":"We construct a cellular basis of the walled Brauer algebra which has similar properties as the Murphy basis of the group algebra of the symmetric group. In particular, the restriction of a cell module to a certain subalgebra can be easily described via this basis. Furthermore, the mixed tensor space possesses a filtration by cell modules -- although not by cell modules of the walled Brauer algebra itself, but by cell modules of its image in the algebra of endomorphisms of mixed tensor space."},"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":"1408.6720","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-08-28T13:52:52Z","cross_cats_sorted":[],"title_canon_sha256":"13e7179b46b5ec476675b6ad5f5061ab2feb3787fd69ad24073e310479e8cb1f","abstract_canon_sha256":"05099418a04ea8a7ca444a790eefd953eabcfbc6e4ef8d52141f9285e8977f23"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:00.992578Z","signature_b64":"MMwoGiTOhKGogXMGTs4hgmT7XADubxDCoUrGIIm3gfPrhW+arNRuStAtC/mBPLhCPD+tdME7iL/FEwZbdgPdDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d550444278b399b3aacb88df748412e448e2315154eb4142ae5685a3a3cc020d","last_reissued_at":"2026-05-18T02:44:00.992179Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:00.992179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A cell filtration of mixed tensor space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Friederike Stoll, Mathias Werth","submitted_at":"2014-08-28T13:52:52Z","abstract_excerpt":"We construct a cellular basis of the walled Brauer algebra which has similar properties as the Murphy basis of the group algebra of the symmetric group. In particular, the restriction of a cell module to a certain subalgebra can be easily described via this basis. Furthermore, the mixed tensor space possesses a filtration by cell modules -- although not by cell modules of the walled Brauer algebra itself, but by cell modules of its image in the algebra of endomorphisms of mixed tensor space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6720","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":"1408.6720","created_at":"2026-05-18T02:44:00.992230+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.6720v1","created_at":"2026-05-18T02:44:00.992230+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.6720","created_at":"2026-05-18T02:44:00.992230+00:00"},{"alias_kind":"pith_short_12","alias_value":"2VIEIQTYWOM3","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"2VIEIQTYWOM3HKWL","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"2VIEIQTY","created_at":"2026-05-18T12:28:11.866339+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/2VIEIQTYWOM3HKWLRDPXJBAS4R","json":"https://pith.science/pith/2VIEIQTYWOM3HKWLRDPXJBAS4R.json","graph_json":"https://pith.science/api/pith-number/2VIEIQTYWOM3HKWLRDPXJBAS4R/graph.json","events_json":"https://pith.science/api/pith-number/2VIEIQTYWOM3HKWLRDPXJBAS4R/events.json","paper":"https://pith.science/paper/2VIEIQTY"},"agent_actions":{"view_html":"https://pith.science/pith/2VIEIQTYWOM3HKWLRDPXJBAS4R","download_json":"https://pith.science/pith/2VIEIQTYWOM3HKWLRDPXJBAS4R.json","view_paper":"https://pith.science/paper/2VIEIQTY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.6720&json=true","fetch_graph":"https://pith.science/api/pith-number/2VIEIQTYWOM3HKWLRDPXJBAS4R/graph.json","fetch_events":"https://pith.science/api/pith-number/2VIEIQTYWOM3HKWLRDPXJBAS4R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2VIEIQTYWOM3HKWLRDPXJBAS4R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2VIEIQTYWOM3HKWLRDPXJBAS4R/action/storage_attestation","attest_author":"https://pith.science/pith/2VIEIQTYWOM3HKWLRDPXJBAS4R/action/author_attestation","sign_citation":"https://pith.science/pith/2VIEIQTYWOM3HKWLRDPXJBAS4R/action/citation_signature","submit_replication":"https://pith.science/pith/2VIEIQTYWOM3HKWLRDPXJBAS4R/action/replication_record"}},"created_at":"2026-05-18T02:44:00.992230+00:00","updated_at":"2026-05-18T02:44:00.992230+00:00"}