{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:QZAAMJL3DQYMLRDGQNYXG56LMO","short_pith_number":"pith:QZAAMJL3","canonical_record":{"source":{"id":"1009.1932","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-09-10T04:57:27Z","cross_cats_sorted":[],"title_canon_sha256":"ff44fd9cadaf1b2e999bc87a8201e2aa7ab3b3c4bda6e6b556e2539a7998be4b","abstract_canon_sha256":"d2f396ca1ed6811ba512c95942c01798b157fd95d1c11f435ee49b2734482a68"},"schema_version":"1.0"},"canonical_sha256":"864006257b1c30c5c46683717377cb63a80da1dd4970a2911604036f816d64c9","source":{"kind":"arxiv","id":"1009.1932","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.1932","created_at":"2026-05-18T02:05:32Z"},{"alias_kind":"arxiv_version","alias_value":"1009.1932v2","created_at":"2026-05-18T02:05:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.1932","created_at":"2026-05-18T02:05:32Z"},{"alias_kind":"pith_short_12","alias_value":"QZAAMJL3DQYM","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"QZAAMJL3DQYMLRDG","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"QZAAMJL3","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:QZAAMJL3DQYMLRDGQNYXG56LMO","target":"record","payload":{"canonical_record":{"source":{"id":"1009.1932","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-09-10T04:57:27Z","cross_cats_sorted":[],"title_canon_sha256":"ff44fd9cadaf1b2e999bc87a8201e2aa7ab3b3c4bda6e6b556e2539a7998be4b","abstract_canon_sha256":"d2f396ca1ed6811ba512c95942c01798b157fd95d1c11f435ee49b2734482a68"},"schema_version":"1.0"},"canonical_sha256":"864006257b1c30c5c46683717377cb63a80da1dd4970a2911604036f816d64c9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:32.221881Z","signature_b64":"QzEoiBIKE+6P8YOBPZlZFQQdg9eQC3gH7s2ze8wT3YlKzZeldmx+mnYPQdw3/Ob82DSHDoSDYmD8GzQMNulzBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"864006257b1c30c5c46683717377cb63a80da1dd4970a2911604036f816d64c9","last_reissued_at":"2026-05-18T02:05:32.221130Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:32.221130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.1932","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:05:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ciCT9fbp9tWdVXOqbLofQpYsCTqL9Rkzc4Lx49zY3vFcnvf6Y6gissGWY408BVXZylLJEoOPWCLLduHYALXpDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:40:16.244418Z"},"content_sha256":"77c03a2fb3d8ab65093bcdbbf7e3e33d2852864d77ff74b83cbd0e5416d4f80b","schema_version":"1.0","event_id":"sha256:77c03a2fb3d8ab65093bcdbbf7e3e33d2852864d77ff74b83cbd0e5416d4f80b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:QZAAMJL3DQYMLRDGQNYXG56LMO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Three realizations of quantum affine algebra $U_q(A_2^{(2)})$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Alexander Shapiro","submitted_at":"2010-09-10T04:57:27Z","abstract_excerpt":"In this article we establish explicit isomorphisms between three realizations of quantum twisted affine algebra $U_q(A_2^{(2)})$: the Drinfeld (\"current\") realization, the Chevalley realization and the so-called $RLL$ realization, investigated by Faddeev, Reshetikhin and Takhtajan."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.1932","kind":"arxiv","version":2},"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":"2026-05-18T02:05:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8uONRgx84yM/DSxsnRwhUns9gxT1b6ozwWbjszhctXAMOxdMHtcAHAaSGzV1OOW/c4HHa5Y9etx0dVny+Qj9CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:40:16.245093Z"},"content_sha256":"ab9af5650fa0e7f8d6fd317738c40ee7bc2bf952788f99644d5cf90c74a9ed6a","schema_version":"1.0","event_id":"sha256:ab9af5650fa0e7f8d6fd317738c40ee7bc2bf952788f99644d5cf90c74a9ed6a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QZAAMJL3DQYMLRDGQNYXG56LMO/bundle.json","state_url":"https://pith.science/pith/QZAAMJL3DQYMLRDGQNYXG56LMO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QZAAMJL3DQYMLRDGQNYXG56LMO/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":"2026-06-06T18:40:16Z","links":{"resolver":"https://pith.science/pith/QZAAMJL3DQYMLRDGQNYXG56LMO","bundle":"https://pith.science/pith/QZAAMJL3DQYMLRDGQNYXG56LMO/bundle.json","state":"https://pith.science/pith/QZAAMJL3DQYMLRDGQNYXG56LMO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QZAAMJL3DQYMLRDGQNYXG56LMO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:QZAAMJL3DQYMLRDGQNYXG56LMO","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":"d2f396ca1ed6811ba512c95942c01798b157fd95d1c11f435ee49b2734482a68","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-09-10T04:57:27Z","title_canon_sha256":"ff44fd9cadaf1b2e999bc87a8201e2aa7ab3b3c4bda6e6b556e2539a7998be4b"},"schema_version":"1.0","source":{"id":"1009.1932","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.1932","created_at":"2026-05-18T02:05:32Z"},{"alias_kind":"arxiv_version","alias_value":"1009.1932v2","created_at":"2026-05-18T02:05:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.1932","created_at":"2026-05-18T02:05:32Z"},{"alias_kind":"pith_short_12","alias_value":"QZAAMJL3DQYM","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"QZAAMJL3DQYMLRDG","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"QZAAMJL3","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:ab9af5650fa0e7f8d6fd317738c40ee7bc2bf952788f99644d5cf90c74a9ed6a","target":"graph","created_at":"2026-05-18T02:05:32Z","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 this article we establish explicit isomorphisms between three realizations of quantum twisted affine algebra $U_q(A_2^{(2)})$: the Drinfeld (\"current\") realization, the Chevalley realization and the so-called $RLL$ realization, investigated by Faddeev, Reshetikhin and Takhtajan.","authors_text":"Alexander Shapiro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-09-10T04:57:27Z","title":"Three realizations of quantum affine algebra $U_q(A_2^{(2)})$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.1932","kind":"arxiv","version":2},"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":"sha256:77c03a2fb3d8ab65093bcdbbf7e3e33d2852864d77ff74b83cbd0e5416d4f80b","target":"record","created_at":"2026-05-18T02:05:32Z","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":"d2f396ca1ed6811ba512c95942c01798b157fd95d1c11f435ee49b2734482a68","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-09-10T04:57:27Z","title_canon_sha256":"ff44fd9cadaf1b2e999bc87a8201e2aa7ab3b3c4bda6e6b556e2539a7998be4b"},"schema_version":"1.0","source":{"id":"1009.1932","kind":"arxiv","version":2}},"canonical_sha256":"864006257b1c30c5c46683717377cb63a80da1dd4970a2911604036f816d64c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"864006257b1c30c5c46683717377cb63a80da1dd4970a2911604036f816d64c9","first_computed_at":"2026-05-18T02:05:32.221130Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:32.221130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QzEoiBIKE+6P8YOBPZlZFQQdg9eQC3gH7s2ze8wT3YlKzZeldmx+mnYPQdw3/Ob82DSHDoSDYmD8GzQMNulzBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:32.221881Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.1932","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77c03a2fb3d8ab65093bcdbbf7e3e33d2852864d77ff74b83cbd0e5416d4f80b","sha256:ab9af5650fa0e7f8d6fd317738c40ee7bc2bf952788f99644d5cf90c74a9ed6a"],"state_sha256":"118d13e4ae3b91f93f5b301163f0f05c24c4b05d57a40ec2b8d18e7b47083c67"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ASTlFEIYNh6UorVqeWvqvb7Tv4oWOod9+dz6LMDLfgoZ9D1T3qQ1FxWVJxTRSdMGau39vx9biUJ1qTYRBaUtBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T18:40:16.248432Z","bundle_sha256":"0e216fd003b96e63abb9888ac6689718d2f2a380cb61e7e785b93d467216d89a"}}