{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:ME2RVC3CODYPUEPMISP52VG3YB","short_pith_number":"pith:ME2RVC3C","schema_version":"1.0","canonical_sha256":"61351a8b6270f0fa11ec449fdd54dbc0650442e451c6db6e9864f6a8e0a8935a","source":{"kind":"arxiv","id":"1008.2401","version":1},"attestation_state":"computed","paper":{"title":"A Combinatorial Formula for Orthogonal Idempotents in the $0$-Hecke Algebra of the Symmetric Group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RT","authors_text":"Tom Denton","submitted_at":"2010-08-13T23:00:28Z","abstract_excerpt":"Building on the work of P.N. Norton, we give combinatorial formulae for two maximal decompositions of the identity into orthogonal idempotents in the $0$-Hecke algebra of the symmetric group, $\\mathbb{C}H_0(S_N)$. This construction is compatible with the branching from $S_{N-1}$ to $S_{N}$."},"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":"1008.2401","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-08-13T23:00:28Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"d7a80e3620c9dd19c3b2e8b55a65d4c2b5b196279cb0142d7aa630daec817dd3","abstract_canon_sha256":"3766541a843a92eb7865d0863d5873d191e988e13278b4f01cd21575ed39a22d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:42:13.389706Z","signature_b64":"Ji6KfuPR1wtS2R0kTPqXu1IEtZiLh+1HuxqzkHLym6TtEGM6w4N+yIma9vMjJHSWuSV2/d+Zj+q9u0rPbolvBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"61351a8b6270f0fa11ec449fdd54dbc0650442e451c6db6e9864f6a8e0a8935a","last_reissued_at":"2026-05-18T04:42:13.389205Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:42:13.389205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Combinatorial Formula for Orthogonal Idempotents in the $0$-Hecke Algebra of the Symmetric Group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RT","authors_text":"Tom Denton","submitted_at":"2010-08-13T23:00:28Z","abstract_excerpt":"Building on the work of P.N. Norton, we give combinatorial formulae for two maximal decompositions of the identity into orthogonal idempotents in the $0$-Hecke algebra of the symmetric group, $\\mathbb{C}H_0(S_N)$. This construction is compatible with the branching from $S_{N-1}$ to $S_{N}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.2401","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":"1008.2401","created_at":"2026-05-18T04:42:13.389281+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.2401v1","created_at":"2026-05-18T04:42:13.389281+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.2401","created_at":"2026-05-18T04:42:13.389281+00:00"},{"alias_kind":"pith_short_12","alias_value":"ME2RVC3CODYP","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_16","alias_value":"ME2RVC3CODYPUEPM","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_8","alias_value":"ME2RVC3C","created_at":"2026-05-18T12:26:10.704358+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/ME2RVC3CODYPUEPMISP52VG3YB","json":"https://pith.science/pith/ME2RVC3CODYPUEPMISP52VG3YB.json","graph_json":"https://pith.science/api/pith-number/ME2RVC3CODYPUEPMISP52VG3YB/graph.json","events_json":"https://pith.science/api/pith-number/ME2RVC3CODYPUEPMISP52VG3YB/events.json","paper":"https://pith.science/paper/ME2RVC3C"},"agent_actions":{"view_html":"https://pith.science/pith/ME2RVC3CODYPUEPMISP52VG3YB","download_json":"https://pith.science/pith/ME2RVC3CODYPUEPMISP52VG3YB.json","view_paper":"https://pith.science/paper/ME2RVC3C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.2401&json=true","fetch_graph":"https://pith.science/api/pith-number/ME2RVC3CODYPUEPMISP52VG3YB/graph.json","fetch_events":"https://pith.science/api/pith-number/ME2RVC3CODYPUEPMISP52VG3YB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ME2RVC3CODYPUEPMISP52VG3YB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ME2RVC3CODYPUEPMISP52VG3YB/action/storage_attestation","attest_author":"https://pith.science/pith/ME2RVC3CODYPUEPMISP52VG3YB/action/author_attestation","sign_citation":"https://pith.science/pith/ME2RVC3CODYPUEPMISP52VG3YB/action/citation_signature","submit_replication":"https://pith.science/pith/ME2RVC3CODYPUEPMISP52VG3YB/action/replication_record"}},"created_at":"2026-05-18T04:42:13.389281+00:00","updated_at":"2026-05-18T04:42:13.389281+00:00"}