{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1993:6DS3OYBXLV63UJB7HXRBLKZLAZ","short_pith_number":"pith:6DS3OYBX","canonical_record":{"source":{"id":"hep-th/9305048","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1993-05-11T13:42:51Z","cross_cats_sorted":[],"title_canon_sha256":"9019270c7965d66b3b3579e5c0d1a3cdbbf3738dede88a4d1deb0c4fbd1d1aed","abstract_canon_sha256":"1b40de2945c830e02902e061aadca818d6f686d86506cdf92a278a2e68fc562f"},"schema_version":"1.0"},"canonical_sha256":"f0e5b760375d7dba243f3de215ab2b0660e4ab5e1c6fb8ef2e2d586160b6e876","source":{"kind":"arxiv","id":"hep-th/9305048","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9305048","created_at":"2026-05-18T02:36:04Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9305048v1","created_at":"2026-05-18T02:36:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9305048","created_at":"2026-05-18T02:36:04Z"},{"alias_kind":"pith_short_12","alias_value":"6DS3OYBXLV63","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"6DS3OYBXLV63UJB7","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"6DS3OYBX","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1993:6DS3OYBXLV63UJB7HXRBLKZLAZ","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9305048","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1993-05-11T13:42:51Z","cross_cats_sorted":[],"title_canon_sha256":"9019270c7965d66b3b3579e5c0d1a3cdbbf3738dede88a4d1deb0c4fbd1d1aed","abstract_canon_sha256":"1b40de2945c830e02902e061aadca818d6f686d86506cdf92a278a2e68fc562f"},"schema_version":"1.0"},"canonical_sha256":"f0e5b760375d7dba243f3de215ab2b0660e4ab5e1c6fb8ef2e2d586160b6e876","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:36:04.678310Z","signature_b64":"mBBxpywAyrTJDnxQHks/1975J8fkJ+5EQ+bGqypy2CP1wVuiyBad9SM7ESMcyQw6ndJi13uAhye52XqeThSXCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0e5b760375d7dba243f3de215ab2b0660e4ab5e1c6fb8ef2e2d586160b6e876","last_reissued_at":"2026-05-18T02:36:04.677784Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:36:04.677784Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9305048","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":"2026-05-18T02:36:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r39XqJ7fWUXl+ZfmeCnjaefYs2a2EXvUa3X7Hwi6RIoxLfOA6tg4NOVQsMTVaO8patvc25v2qQFNj36IaSnMAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T20:49:24.778394Z"},"content_sha256":"7b8c39938d6fbbd496f0b2ab770e0c65844a80daaddd9e0d641c2b5da144e100","schema_version":"1.0","event_id":"sha256:7b8c39938d6fbbd496f0b2ab770e0c65844a80daaddd9e0d641c2b5da144e100"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1993:6DS3OYBXLV63UJB7HXRBLKZLAZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Closed Expression for the Universal R-Matrix in a Non-Standard Quantum Double","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A.A.Vladimirov","submitted_at":"1993-05-11T13:42:51Z","abstract_excerpt":"In recent papers of the author, a method was developed for constructing quasitriangular Hopf algebras (quantum groups) of the quantum-double type. As a by-product, a novel non-standard example of the quantum double has been found. In the present paper, a closed expression (in terms of elementary functions) for the corresponding universal R-matrix is obtained. In reduced form, when the number of generators becomes two instead of four, this quantum group can be interpreted as a deformation of the Lie algebra\n  [x,h]=2h in the context of Drinfeld's quantization program."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9305048","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:36:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4MonNzXS7T+GrtwDknLG/1YEwdto1MoXQHbh/BmHieWqqv4W2IoN3lbGJ2/D1dKFHZPG2TkdghO7flGUQUT4Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T20:49:24.778736Z"},"content_sha256":"fff791be4ea2c0e7758dbfa4fd7d1c1d2134bd253c6262d670b0f898a1fddded","schema_version":"1.0","event_id":"sha256:fff791be4ea2c0e7758dbfa4fd7d1c1d2134bd253c6262d670b0f898a1fddded"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6DS3OYBXLV63UJB7HXRBLKZLAZ/bundle.json","state_url":"https://pith.science/pith/6DS3OYBXLV63UJB7HXRBLKZLAZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6DS3OYBXLV63UJB7HXRBLKZLAZ/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":"2026-06-27T20:49:24Z","links":{"resolver":"https://pith.science/pith/6DS3OYBXLV63UJB7HXRBLKZLAZ","bundle":"https://pith.science/pith/6DS3OYBXLV63UJB7HXRBLKZLAZ/bundle.json","state":"https://pith.science/pith/6DS3OYBXLV63UJB7HXRBLKZLAZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6DS3OYBXLV63UJB7HXRBLKZLAZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:6DS3OYBXLV63UJB7HXRBLKZLAZ","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":"1b40de2945c830e02902e061aadca818d6f686d86506cdf92a278a2e68fc562f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1993-05-11T13:42:51Z","title_canon_sha256":"9019270c7965d66b3b3579e5c0d1a3cdbbf3738dede88a4d1deb0c4fbd1d1aed"},"schema_version":"1.0","source":{"id":"hep-th/9305048","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9305048","created_at":"2026-05-18T02:36:04Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9305048v1","created_at":"2026-05-18T02:36:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9305048","created_at":"2026-05-18T02:36:04Z"},{"alias_kind":"pith_short_12","alias_value":"6DS3OYBXLV63","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"6DS3OYBXLV63UJB7","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"6DS3OYBX","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:fff791be4ea2c0e7758dbfa4fd7d1c1d2134bd253c6262d670b0f898a1fddded","target":"graph","created_at":"2026-05-18T02:36:04Z","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"},"paper":{"abstract_excerpt":"In recent papers of the author, a method was developed for constructing quasitriangular Hopf algebras (quantum groups) of the quantum-double type. As a by-product, a novel non-standard example of the quantum double has been found. In the present paper, a closed expression (in terms of elementary functions) for the corresponding universal R-matrix is obtained. In reduced form, when the number of generators becomes two instead of four, this quantum group can be interpreted as a deformation of the Lie algebra\n  [x,h]=2h in the context of Drinfeld's quantization program.","authors_text":"A.A.Vladimirov","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1993-05-11T13:42:51Z","title":"A Closed Expression for the Universal R-Matrix in a Non-Standard Quantum Double"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9305048","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":"sha256:7b8c39938d6fbbd496f0b2ab770e0c65844a80daaddd9e0d641c2b5da144e100","target":"record","created_at":"2026-05-18T02:36:04Z","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":"1b40de2945c830e02902e061aadca818d6f686d86506cdf92a278a2e68fc562f","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1993-05-11T13:42:51Z","title_canon_sha256":"9019270c7965d66b3b3579e5c0d1a3cdbbf3738dede88a4d1deb0c4fbd1d1aed"},"schema_version":"1.0","source":{"id":"hep-th/9305048","kind":"arxiv","version":1}},"canonical_sha256":"f0e5b760375d7dba243f3de215ab2b0660e4ab5e1c6fb8ef2e2d586160b6e876","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0e5b760375d7dba243f3de215ab2b0660e4ab5e1c6fb8ef2e2d586160b6e876","first_computed_at":"2026-05-18T02:36:04.677784Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:36:04.677784Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mBBxpywAyrTJDnxQHks/1975J8fkJ+5EQ+bGqypy2CP1wVuiyBad9SM7ESMcyQw6ndJi13uAhye52XqeThSXCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:36:04.678310Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9305048","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b8c39938d6fbbd496f0b2ab770e0c65844a80daaddd9e0d641c2b5da144e100","sha256:fff791be4ea2c0e7758dbfa4fd7d1c1d2134bd253c6262d670b0f898a1fddded"],"state_sha256":"527441e6caa3e3e882c0ea6c64ce3dde8fa6a1eccd9565ef16c8cdb38a0a7f46"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V8IMrG+TY+9IMHyMz5tGWBT1yavXHRw9kXWrN/+tfEeivCXNJYW0Z1kHutFMArqYv4m5jJ2iA20c6OY5nNTWDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T20:49:24.780626Z","bundle_sha256":"416c154cf783d12673eada23ee9e5cade8015d8a161c46a866cdc6ba965b6cf0"}}