{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1996:JCTYZVH2FQGNZSOPEPOIY6C5E5","short_pith_number":"pith:JCTYZVH2","schema_version":"1.0","canonical_sha256":"48a78cd4fa2c0cdcc9cf23dc8c785d27545dfaa4acc4c01a4094894350c125a6","source":{"kind":"arxiv","id":"q-alg/9603033","version":1},"attestation_state":"computed","paper":{"title":"Bosonic representations of Yangian Double $\\cD Y_{\\hbar}(\\gtg)$ with $\\gtg=\\gtgl_N,\\gtsl_N$","license":"","headline":"","cross_cats":["math.QA"],"primary_cat":"q-alg","authors_text":"Kenji Iohara","submitted_at":"1996-04-01T04:49:20Z","abstract_excerpt":"On the basis of `$RTT=TTR$' formalism, we introduce the quantum double of the Yangian $Y_{\\hbar}(\\gtg)$ for $\\gtg=\\gtgl_N,\\gtsl_N$ with a central extension. The Gauss decomposition of T-matrices gives us the so-called Drinfel'd generators. Using these generators, we present some examples of both finite and infinite dimensional representations that are quite natural deformations of the corresponding affine counterpart."},"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":"q-alg/9603033","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"q-alg","submitted_at":"1996-04-01T04:49:20Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"da789b6807488a0aca8d57c2fb0b5736b5899790efedec9c78a2778974834648","abstract_canon_sha256":"a38c1e0d81786341c9ea1f128ab33b5917b1028c7443320458f2423908b9c3f7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:09:07.915817Z","signature_b64":"63mP62E5pfosWF0V7immlMjdRb7z9WkHO2NMyJtuJg0iLoXcExPlpIbCCcrywuHRGMvnBQQunTHDoOC1y9wXCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48a78cd4fa2c0cdcc9cf23dc8c785d27545dfaa4acc4c01a4094894350c125a6","last_reissued_at":"2026-07-04T15:09:07.915394Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:09:07.915394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bosonic representations of Yangian Double $\\cD Y_{\\hbar}(\\gtg)$ with $\\gtg=\\gtgl_N,\\gtsl_N$","license":"","headline":"","cross_cats":["math.QA"],"primary_cat":"q-alg","authors_text":"Kenji Iohara","submitted_at":"1996-04-01T04:49:20Z","abstract_excerpt":"On the basis of `$RTT=TTR$' formalism, we introduce the quantum double of the Yangian $Y_{\\hbar}(\\gtg)$ for $\\gtg=\\gtgl_N,\\gtsl_N$ with a central extension. The Gauss decomposition of T-matrices gives us the so-called Drinfel'd generators. Using these generators, we present some examples of both finite and infinite dimensional representations that are quite natural deformations of the corresponding affine counterpart."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-alg/9603033","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/q-alg/9603033/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"q-alg/9603033","created_at":"2026-07-04T15:09:07.915453+00:00"},{"alias_kind":"arxiv_version","alias_value":"q-alg/9603033v1","created_at":"2026-07-04T15:09:07.915453+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-alg/9603033","created_at":"2026-07-04T15:09:07.915453+00:00"},{"alias_kind":"pith_short_12","alias_value":"JCTYZVH2FQGN","created_at":"2026-07-04T15:09:07.915453+00:00"},{"alias_kind":"pith_short_16","alias_value":"JCTYZVH2FQGNZSOP","created_at":"2026-07-04T15:09:07.915453+00:00"},{"alias_kind":"pith_short_8","alias_value":"JCTYZVH2","created_at":"2026-07-04T15:09:07.915453+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2604.12842","citing_title":"Evaluation-type deformed modules over the quantum affine vertex algebras of type $A$","ref_index":11,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JCTYZVH2FQGNZSOPEPOIY6C5E5","json":"https://pith.science/pith/JCTYZVH2FQGNZSOPEPOIY6C5E5.json","graph_json":"https://pith.science/api/pith-number/JCTYZVH2FQGNZSOPEPOIY6C5E5/graph.json","events_json":"https://pith.science/api/pith-number/JCTYZVH2FQGNZSOPEPOIY6C5E5/events.json","paper":"https://pith.science/paper/JCTYZVH2"},"agent_actions":{"view_html":"https://pith.science/pith/JCTYZVH2FQGNZSOPEPOIY6C5E5","download_json":"https://pith.science/pith/JCTYZVH2FQGNZSOPEPOIY6C5E5.json","view_paper":"https://pith.science/paper/JCTYZVH2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=q-alg/9603033&json=true","fetch_graph":"https://pith.science/api/pith-number/JCTYZVH2FQGNZSOPEPOIY6C5E5/graph.json","fetch_events":"https://pith.science/api/pith-number/JCTYZVH2FQGNZSOPEPOIY6C5E5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JCTYZVH2FQGNZSOPEPOIY6C5E5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JCTYZVH2FQGNZSOPEPOIY6C5E5/action/storage_attestation","attest_author":"https://pith.science/pith/JCTYZVH2FQGNZSOPEPOIY6C5E5/action/author_attestation","sign_citation":"https://pith.science/pith/JCTYZVH2FQGNZSOPEPOIY6C5E5/action/citation_signature","submit_replication":"https://pith.science/pith/JCTYZVH2FQGNZSOPEPOIY6C5E5/action/replication_record"}},"created_at":"2026-07-04T15:09:07.915453+00:00","updated_at":"2026-07-04T15:09:07.915453+00:00"}