{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:ZF6Z4BYTTBIKDUHTASSXFKJLL2","short_pith_number":"pith:ZF6Z4BYT","schema_version":"1.0","canonical_sha256":"c97d9e07139850a1d0f304a572a92b5eb24a9ca84292f21e078cd926c552a699","source":{"kind":"arxiv","id":"1409.1414","version":1},"attestation_state":"computed","paper":{"title":"Graphic Interpretation of the Structure Constants of the Schur Algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Amritanshu Prasad, T. Geetha","submitted_at":"2014-09-04T11:56:21Z","abstract_excerpt":"Issai Schur, in his doctoral thesis (1901) introduced the Schur algebra to study the polynomial representation theory of the general linear group. He described a basis of this algebra and structure constants. Later, Miguel Mendez (2001) gave a graph-theoretic description of Schur's basis and computed the structure constants. In this presentation, we will give a new graphic interpretation of the basis of Schur algebra and use it to give a description of the structure constants which is equivalent to the one given by Mendez."},"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":"1409.1414","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-09-04T11:56:21Z","cross_cats_sorted":[],"title_canon_sha256":"825560a8324b073adf7825ad9e36dea5c23c2bb443020cc5bace76baebc38b2d","abstract_canon_sha256":"3471b4d2fa10032ad28e3f84af4835190c19c95e85225d11017700ff4476557b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:27.027451Z","signature_b64":"e/M7ri9wicx8tyl1J5QDl0cr4Q83xQPTpEWrbfDnT+PidO0ecUhSCBmklVX5dFkKHKwEMo5Wh5t3lE91Ag6FAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c97d9e07139850a1d0f304a572a92b5eb24a9ca84292f21e078cd926c552a699","last_reissued_at":"2026-05-18T02:43:27.026877Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:27.026877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Graphic Interpretation of the Structure Constants of the Schur Algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Amritanshu Prasad, T. Geetha","submitted_at":"2014-09-04T11:56:21Z","abstract_excerpt":"Issai Schur, in his doctoral thesis (1901) introduced the Schur algebra to study the polynomial representation theory of the general linear group. He described a basis of this algebra and structure constants. Later, Miguel Mendez (2001) gave a graph-theoretic description of Schur's basis and computed the structure constants. In this presentation, we will give a new graphic interpretation of the basis of Schur algebra and use it to give a description of the structure constants which is equivalent to the one given by Mendez."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.1414","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":"1409.1414","created_at":"2026-05-18T02:43:27.026966+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.1414v1","created_at":"2026-05-18T02:43:27.026966+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.1414","created_at":"2026-05-18T02:43:27.026966+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZF6Z4BYTTBIK","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZF6Z4BYTTBIKDUHT","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZF6Z4BYT","created_at":"2026-05-18T12:28:59.999130+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/ZF6Z4BYTTBIKDUHTASSXFKJLL2","json":"https://pith.science/pith/ZF6Z4BYTTBIKDUHTASSXFKJLL2.json","graph_json":"https://pith.science/api/pith-number/ZF6Z4BYTTBIKDUHTASSXFKJLL2/graph.json","events_json":"https://pith.science/api/pith-number/ZF6Z4BYTTBIKDUHTASSXFKJLL2/events.json","paper":"https://pith.science/paper/ZF6Z4BYT"},"agent_actions":{"view_html":"https://pith.science/pith/ZF6Z4BYTTBIKDUHTASSXFKJLL2","download_json":"https://pith.science/pith/ZF6Z4BYTTBIKDUHTASSXFKJLL2.json","view_paper":"https://pith.science/paper/ZF6Z4BYT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.1414&json=true","fetch_graph":"https://pith.science/api/pith-number/ZF6Z4BYTTBIKDUHTASSXFKJLL2/graph.json","fetch_events":"https://pith.science/api/pith-number/ZF6Z4BYTTBIKDUHTASSXFKJLL2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZF6Z4BYTTBIKDUHTASSXFKJLL2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZF6Z4BYTTBIKDUHTASSXFKJLL2/action/storage_attestation","attest_author":"https://pith.science/pith/ZF6Z4BYTTBIKDUHTASSXFKJLL2/action/author_attestation","sign_citation":"https://pith.science/pith/ZF6Z4BYTTBIKDUHTASSXFKJLL2/action/citation_signature","submit_replication":"https://pith.science/pith/ZF6Z4BYTTBIKDUHTASSXFKJLL2/action/replication_record"}},"created_at":"2026-05-18T02:43:27.026966+00:00","updated_at":"2026-05-18T02:43:27.026966+00:00"}