{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:QIBRGINUXKAWRHYC3QLV36BUJH","short_pith_number":"pith:QIBRGINU","schema_version":"1.0","canonical_sha256":"82031321b4ba81689f02dc175df83449d9e618708cb5e6341247d105ccb2e77b","source":{"kind":"arxiv","id":"1302.5775","version":1},"attestation_state":"computed","paper":{"title":"More on the Terwilliger algebra of Johnson schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Benjian Lv, Carolina Maldonado, Kaishun Wang","submitted_at":"2013-02-23T09:02:27Z","abstract_excerpt":"In [F. Levstein, C. Maldonado, The Terwilliger algebra of the Johnson schemes, Discrete Math. 307 (2007) 1621--1635], the Terwilliger algebra of the Johnson scheme $J(n,d)$ was determined when $n\\geq 3d$. In this paper, we determine the Terwilliger algebra ${\\mathcal T}$ for the remaining case $2d\\leq n<3d$."},"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":"1302.5775","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-02-23T09:02:27Z","cross_cats_sorted":[],"title_canon_sha256":"d374b4eb08165bdd9b6f471c5b009f1a8be01c9303b5f9bafed00767a6342272","abstract_canon_sha256":"a81dcb96d76e63bd463c6aaa5d69dd9074f356b04038436d77a19a656ccd29c3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:32:43.880188Z","signature_b64":"LGLD2zF1Vuz0m2ru40LWPi9nM/+/bST16ClsjBDdGk6m2NpwzLFGb99lXlgcMeIIsGWEAwLX9rUfKDppHwkwBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82031321b4ba81689f02dc175df83449d9e618708cb5e6341247d105ccb2e77b","last_reissued_at":"2026-05-18T03:32:43.879392Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:32:43.879392Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"More on the Terwilliger algebra of Johnson schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Benjian Lv, Carolina Maldonado, Kaishun Wang","submitted_at":"2013-02-23T09:02:27Z","abstract_excerpt":"In [F. Levstein, C. Maldonado, The Terwilliger algebra of the Johnson schemes, Discrete Math. 307 (2007) 1621--1635], the Terwilliger algebra of the Johnson scheme $J(n,d)$ was determined when $n\\geq 3d$. In this paper, we determine the Terwilliger algebra ${\\mathcal T}$ for the remaining case $2d\\leq n<3d$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.5775","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":"1302.5775","created_at":"2026-05-18T03:32:43.879523+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.5775v1","created_at":"2026-05-18T03:32:43.879523+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.5775","created_at":"2026-05-18T03:32:43.879523+00:00"},{"alias_kind":"pith_short_12","alias_value":"QIBRGINUXKAW","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_16","alias_value":"QIBRGINUXKAWRHYC","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_8","alias_value":"QIBRGINU","created_at":"2026-05-18T12:27:57.521954+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/QIBRGINUXKAWRHYC3QLV36BUJH","json":"https://pith.science/pith/QIBRGINUXKAWRHYC3QLV36BUJH.json","graph_json":"https://pith.science/api/pith-number/QIBRGINUXKAWRHYC3QLV36BUJH/graph.json","events_json":"https://pith.science/api/pith-number/QIBRGINUXKAWRHYC3QLV36BUJH/events.json","paper":"https://pith.science/paper/QIBRGINU"},"agent_actions":{"view_html":"https://pith.science/pith/QIBRGINUXKAWRHYC3QLV36BUJH","download_json":"https://pith.science/pith/QIBRGINUXKAWRHYC3QLV36BUJH.json","view_paper":"https://pith.science/paper/QIBRGINU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.5775&json=true","fetch_graph":"https://pith.science/api/pith-number/QIBRGINUXKAWRHYC3QLV36BUJH/graph.json","fetch_events":"https://pith.science/api/pith-number/QIBRGINUXKAWRHYC3QLV36BUJH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QIBRGINUXKAWRHYC3QLV36BUJH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QIBRGINUXKAWRHYC3QLV36BUJH/action/storage_attestation","attest_author":"https://pith.science/pith/QIBRGINUXKAWRHYC3QLV36BUJH/action/author_attestation","sign_citation":"https://pith.science/pith/QIBRGINUXKAWRHYC3QLV36BUJH/action/citation_signature","submit_replication":"https://pith.science/pith/QIBRGINUXKAWRHYC3QLV36BUJH/action/replication_record"}},"created_at":"2026-05-18T03:32:43.879523+00:00","updated_at":"2026-05-18T03:32:43.879523+00:00"}