{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:JCTYZVH2FQGNZSOPEPOIY6C5E5","short_pith_number":"pith:JCTYZVH2","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"},"canonical_sha256":"48a78cd4fa2c0cdcc9cf23dc8c785d27545dfaa4acc4c01a4094894350c125a6","source":{"kind":"arxiv","id":"q-alg/9603033","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"q-alg/9603033","created_at":"2026-07-04T15:09:07Z"},{"alias_kind":"arxiv_version","alias_value":"q-alg/9603033v1","created_at":"2026-07-04T15:09:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-alg/9603033","created_at":"2026-07-04T15:09:07Z"},{"alias_kind":"pith_short_12","alias_value":"JCTYZVH2FQGN","created_at":"2026-07-04T15:09:07Z"},{"alias_kind":"pith_short_16","alias_value":"JCTYZVH2FQGNZSOP","created_at":"2026-07-04T15:09:07Z"},{"alias_kind":"pith_short_8","alias_value":"JCTYZVH2","created_at":"2026-07-04T15:09:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:JCTYZVH2FQGNZSOPEPOIY6C5E5","target":"record","payload":{"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"},"canonical_sha256":"48a78cd4fa2c0cdcc9cf23dc8c785d27545dfaa4acc4c01a4094894350c125a6","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"},"source_kind":"arxiv","source_id":"q-alg/9603033","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:09:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MjXeSc4BKcgMZzcg9Q6gUX/ImS9HiLKkbHOTJM2WTNLt4g32kYhJz4Ud3Ik62FVaZHmeW1e/hXW4n3XBLGqeBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T17:31:07.749395Z"},"content_sha256":"bf87f0d3dd1714afc709e7e351b0a0811fd2dd677037bc3d9219446930538e90","schema_version":"1.0","event_id":"sha256:bf87f0d3dd1714afc709e7e351b0a0811fd2dd677037bc3d9219446930538e90"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:JCTYZVH2FQGNZSOPEPOIY6C5E5","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:09:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SX9Wt9iF5HpHYSn1zt5pwJm1N8fu6Ucd5VDUnXYEYzLN8Gq+wrFYarJCpialwyOljA0Mr/mKP7z5VRKKSuYICQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T17:31:07.749953Z"},"content_sha256":"d88b978f9e673b4f7480846a728624e846199f9da1bef5910ec237fda70c0117","schema_version":"1.0","event_id":"sha256:d88b978f9e673b4f7480846a728624e846199f9da1bef5910ec237fda70c0117"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JCTYZVH2FQGNZSOPEPOIY6C5E5/bundle.json","state_url":"https://pith.science/pith/JCTYZVH2FQGNZSOPEPOIY6C5E5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JCTYZVH2FQGNZSOPEPOIY6C5E5/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-14T17:31:07Z","links":{"resolver":"https://pith.science/pith/JCTYZVH2FQGNZSOPEPOIY6C5E5","bundle":"https://pith.science/pith/JCTYZVH2FQGNZSOPEPOIY6C5E5/bundle.json","state":"https://pith.science/pith/JCTYZVH2FQGNZSOPEPOIY6C5E5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JCTYZVH2FQGNZSOPEPOIY6C5E5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:JCTYZVH2FQGNZSOPEPOIY6C5E5","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"a38c1e0d81786341c9ea1f128ab33b5917b1028c7443320458f2423908b9c3f7","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"q-alg","submitted_at":"1996-04-01T04:49:20Z","title_canon_sha256":"da789b6807488a0aca8d57c2fb0b5736b5899790efedec9c78a2778974834648"},"schema_version":"1.0","source":{"id":"q-alg/9603033","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"q-alg/9603033","created_at":"2026-07-04T15:09:07Z"},{"alias_kind":"arxiv_version","alias_value":"q-alg/9603033v1","created_at":"2026-07-04T15:09:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-alg/9603033","created_at":"2026-07-04T15:09:07Z"},{"alias_kind":"pith_short_12","alias_value":"JCTYZVH2FQGN","created_at":"2026-07-04T15:09:07Z"},{"alias_kind":"pith_short_16","alias_value":"JCTYZVH2FQGNZSOP","created_at":"2026-07-04T15:09:07Z"},{"alias_kind":"pith_short_8","alias_value":"JCTYZVH2","created_at":"2026-07-04T15:09:07Z"}],"graph_snapshots":[{"event_id":"sha256:d88b978f9e673b4f7480846a728624e846199f9da1bef5910ec237fda70c0117","target":"graph","created_at":"2026-07-04T15:09:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/q-alg/9603033/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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.","authors_text":"Kenji Iohara","cross_cats":["math.QA"],"headline":"","license":"","primary_cat":"q-alg","submitted_at":"1996-04-01T04:49:20Z","title":"Bosonic representations of Yangian Double $\\cD Y_{\\hbar}(\\gtg)$ with $\\gtg=\\gtgl_N,\\gtsl_N$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-alg/9603033","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:bf87f0d3dd1714afc709e7e351b0a0811fd2dd677037bc3d9219446930538e90","target":"record","created_at":"2026-07-04T15:09:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"a38c1e0d81786341c9ea1f128ab33b5917b1028c7443320458f2423908b9c3f7","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"q-alg","submitted_at":"1996-04-01T04:49:20Z","title_canon_sha256":"da789b6807488a0aca8d57c2fb0b5736b5899790efedec9c78a2778974834648"},"schema_version":"1.0","source":{"id":"q-alg/9603033","kind":"arxiv","version":1}},"canonical_sha256":"48a78cd4fa2c0cdcc9cf23dc8c785d27545dfaa4acc4c01a4094894350c125a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48a78cd4fa2c0cdcc9cf23dc8c785d27545dfaa4acc4c01a4094894350c125a6","first_computed_at":"2026-07-04T15:09:07.915394Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:09:07.915394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"63mP62E5pfosWF0V7immlMjdRb7z9WkHO2NMyJtuJg0iLoXcExPlpIbCCcrywuHRGMvnBQQunTHDoOC1y9wXCw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:09:07.915817Z","signed_message":"canonical_sha256_bytes"},"source_id":"q-alg/9603033","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf87f0d3dd1714afc709e7e351b0a0811fd2dd677037bc3d9219446930538e90","sha256:d88b978f9e673b4f7480846a728624e846199f9da1bef5910ec237fda70c0117"],"state_sha256":"bc809ef687717df83fe0d6ede556260a8ab84acb1a7759686d472317a96ac120"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sKg6H6KVtTCL7G52p3xRyQvfKxStSor7AE8o3HaoRr7EkCsCqRaU5XW4QZ8hjDXQ/rWEYk+fPRY9Q/KVA2pKCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T17:31:07.755272Z","bundle_sha256":"3120ae898f3e1e43c930966aa2767f63e463cf98bb386305f14926b3e325c951"}}