{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:SQXPN3MMSRPNPIIO6LFQMYWW44","short_pith_number":"pith:SQXPN3MM","schema_version":"1.0","canonical_sha256":"942ef6ed8c945ed7a10ef2cb0662d6e73f96013a2b20813596d5bf952cbb6f4e","source":{"kind":"arxiv","id":"1804.10296","version":1},"attestation_state":"computed","paper":{"title":"Two boundary Hecke Algebras and combinatorics of type C","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.RT","authors_text":"Arun Ram, Zajj Daugherty","submitted_at":"2018-04-26T22:17:19Z","abstract_excerpt":"This paper gives a Schur-Weyl duality approach to the representation theory of the affine Hecke algebras of type C with unequal parameters. The first step is to realize the affine braid group of type $C_k$ as the group of braids on $k$ strands with two poles. Generalizing familiar methods from the one pole (type A) case, this provides commuting actions of the quantum group $U_q\\mathfrak{g}$ and the affine braid group of type $C_k$ on a tensor space $M\\otimes N \\otimes V^{\\otimes k}$. Special cases provide Schur-Weyl pairings between the affine Hecke algebra of type $C_k$ and the quantum group "},"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":"1804.10296","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-04-26T22:17:19Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"02bb0a32cb6b7529b8e18cc50f258fd73a7c104a4a97fc452bb941dd5a5007ed","abstract_canon_sha256":"6939fbc72d5768698a2be7875f42cd0d8e57e6af99fc57d75a679157bf3d73c5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:21.219128Z","signature_b64":"UAKyK7xTq2/NbwTrZI8MIfHwlLM+cSnLUh9SxNEMNSlCXBZ1kgHKfhJFs83VIYKtxA95tVFwtQkwqvT3dMEKDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"942ef6ed8c945ed7a10ef2cb0662d6e73f96013a2b20813596d5bf952cbb6f4e","last_reissued_at":"2026-05-18T00:17:21.218413Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:21.218413Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Two boundary Hecke Algebras and combinatorics of type C","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.RT","authors_text":"Arun Ram, Zajj Daugherty","submitted_at":"2018-04-26T22:17:19Z","abstract_excerpt":"This paper gives a Schur-Weyl duality approach to the representation theory of the affine Hecke algebras of type C with unequal parameters. The first step is to realize the affine braid group of type $C_k$ as the group of braids on $k$ strands with two poles. Generalizing familiar methods from the one pole (type A) case, this provides commuting actions of the quantum group $U_q\\mathfrak{g}$ and the affine braid group of type $C_k$ on a tensor space $M\\otimes N \\otimes V^{\\otimes k}$. Special cases provide Schur-Weyl pairings between the affine Hecke algebra of type $C_k$ and the quantum group "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.10296","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":"1804.10296","created_at":"2026-05-18T00:17:21.218537+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.10296v1","created_at":"2026-05-18T00:17:21.218537+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.10296","created_at":"2026-05-18T00:17:21.218537+00:00"},{"alias_kind":"pith_short_12","alias_value":"SQXPN3MMSRPN","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_16","alias_value":"SQXPN3MMSRPNPIIO","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_8","alias_value":"SQXPN3MM","created_at":"2026-05-18T12:32:53.628368+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/SQXPN3MMSRPNPIIO6LFQMYWW44","json":"https://pith.science/pith/SQXPN3MMSRPNPIIO6LFQMYWW44.json","graph_json":"https://pith.science/api/pith-number/SQXPN3MMSRPNPIIO6LFQMYWW44/graph.json","events_json":"https://pith.science/api/pith-number/SQXPN3MMSRPNPIIO6LFQMYWW44/events.json","paper":"https://pith.science/paper/SQXPN3MM"},"agent_actions":{"view_html":"https://pith.science/pith/SQXPN3MMSRPNPIIO6LFQMYWW44","download_json":"https://pith.science/pith/SQXPN3MMSRPNPIIO6LFQMYWW44.json","view_paper":"https://pith.science/paper/SQXPN3MM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.10296&json=true","fetch_graph":"https://pith.science/api/pith-number/SQXPN3MMSRPNPIIO6LFQMYWW44/graph.json","fetch_events":"https://pith.science/api/pith-number/SQXPN3MMSRPNPIIO6LFQMYWW44/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SQXPN3MMSRPNPIIO6LFQMYWW44/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SQXPN3MMSRPNPIIO6LFQMYWW44/action/storage_attestation","attest_author":"https://pith.science/pith/SQXPN3MMSRPNPIIO6LFQMYWW44/action/author_attestation","sign_citation":"https://pith.science/pith/SQXPN3MMSRPNPIIO6LFQMYWW44/action/citation_signature","submit_replication":"https://pith.science/pith/SQXPN3MMSRPNPIIO6LFQMYWW44/action/replication_record"}},"created_at":"2026-05-18T00:17:21.218537+00:00","updated_at":"2026-05-18T00:17:21.218537+00:00"}