{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:QIICIGTTWOY5OWYYTKOUAHVEKN","short_pith_number":"pith:QIICIGTT","schema_version":"1.0","canonical_sha256":"8210241a73b3b1d75b189a9d401ea4537398697d5ef4fe809171d94d1bab650e","source":{"kind":"arxiv","id":"1610.09224","version":3},"attestation_state":"computed","paper":{"title":"Kirillov-Reshetikhin crystals $B^{1,s}$ for $\\widehat{\\mathfrak{sl}}_n$ using Nakajima monomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.CO","authors_text":"Emily Gunawan, Travis Scrimshaw","submitted_at":"2016-10-28T14:07:25Z","abstract_excerpt":"We give a realization of the Kirillov--Reshetikhin crystal $B^{1,s}$ using Nakajima monomials for $\\widehat{\\mathfrak{sl}}_n$ using the crystal structure given by Kashiwara. We describe the tensor product $\\bigotimes_{i=1}^N B^{1,s_i}$ in terms of a shift of indices, allowing us to recover the Kyoto path model. Additionally, we give a model for the KR crystals $B^{r,1}$ using Nakajima monomials."},"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":"1610.09224","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-10-28T14:07:25Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"a81302f3820ee156b1960b8d9ce33382e031e681d851aadf6efe958b5533498d","abstract_canon_sha256":"5450fcdf0db156a01968fd0391bd1b413d78d22a53f33dfacb8e8841613411f1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:13.636970Z","signature_b64":"6wJ7oBNKtaMXUto8EJ8ugv3RMJ0CM/MnOK+XAFLmo1cWiNLBoi3+8FrMX1irYmm4ok94jJwjGBQtqiUj2PhCCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8210241a73b3b1d75b189a9d401ea4537398697d5ef4fe809171d94d1bab650e","last_reissued_at":"2026-05-17T23:41:13.636541Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:13.636541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Kirillov-Reshetikhin crystals $B^{1,s}$ for $\\widehat{\\mathfrak{sl}}_n$ using Nakajima monomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.CO","authors_text":"Emily Gunawan, Travis Scrimshaw","submitted_at":"2016-10-28T14:07:25Z","abstract_excerpt":"We give a realization of the Kirillov--Reshetikhin crystal $B^{1,s}$ using Nakajima monomials for $\\widehat{\\mathfrak{sl}}_n$ using the crystal structure given by Kashiwara. We describe the tensor product $\\bigotimes_{i=1}^N B^{1,s_i}$ in terms of a shift of indices, allowing us to recover the Kyoto path model. Additionally, we give a model for the KR crystals $B^{r,1}$ using Nakajima monomials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09224","kind":"arxiv","version":3},"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":"1610.09224","created_at":"2026-05-17T23:41:13.636611+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.09224v3","created_at":"2026-05-17T23:41:13.636611+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09224","created_at":"2026-05-17T23:41:13.636611+00:00"},{"alias_kind":"pith_short_12","alias_value":"QIICIGTTWOY5","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"QIICIGTTWOY5OWYY","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"QIICIGTT","created_at":"2026-05-18T12:30:39.010887+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.08162","citing_title":"Nonlinear Coherent Transport in 2D Thermal Metamaterials: From Solitons and Topological Defects to Quantum Computing","ref_index":35,"is_internal_anchor":true},{"citing_arxiv_id":"2605.08162","citing_title":"Nonlinear Coherent Transport in 2D Thermal Metamaterials: From Solitons and Topological Defects to Quantum Computing","ref_index":36,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QIICIGTTWOY5OWYYTKOUAHVEKN","json":"https://pith.science/pith/QIICIGTTWOY5OWYYTKOUAHVEKN.json","graph_json":"https://pith.science/api/pith-number/QIICIGTTWOY5OWYYTKOUAHVEKN/graph.json","events_json":"https://pith.science/api/pith-number/QIICIGTTWOY5OWYYTKOUAHVEKN/events.json","paper":"https://pith.science/paper/QIICIGTT"},"agent_actions":{"view_html":"https://pith.science/pith/QIICIGTTWOY5OWYYTKOUAHVEKN","download_json":"https://pith.science/pith/QIICIGTTWOY5OWYYTKOUAHVEKN.json","view_paper":"https://pith.science/paper/QIICIGTT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.09224&json=true","fetch_graph":"https://pith.science/api/pith-number/QIICIGTTWOY5OWYYTKOUAHVEKN/graph.json","fetch_events":"https://pith.science/api/pith-number/QIICIGTTWOY5OWYYTKOUAHVEKN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QIICIGTTWOY5OWYYTKOUAHVEKN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QIICIGTTWOY5OWYYTKOUAHVEKN/action/storage_attestation","attest_author":"https://pith.science/pith/QIICIGTTWOY5OWYYTKOUAHVEKN/action/author_attestation","sign_citation":"https://pith.science/pith/QIICIGTTWOY5OWYYTKOUAHVEKN/action/citation_signature","submit_replication":"https://pith.science/pith/QIICIGTTWOY5OWYYTKOUAHVEKN/action/replication_record"}},"created_at":"2026-05-17T23:41:13.636611+00:00","updated_at":"2026-05-17T23:41:13.636611+00:00"}