{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:7JA2THDRXQHG53DXMPHFC6IW7T","short_pith_number":"pith:7JA2THDR","canonical_record":{"source":{"id":"q-alg/9604007","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"q-alg","submitted_at":"1996-04-10T14:27:13Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"54e0e2194a33dd841c197cc7da69204981559547de6c90ad9027c865b6f06ff0","abstract_canon_sha256":"d28448b1911836b2840ce6fb619c3549528ecaa055a2f05fe53709fdd6ce3f99"},"schema_version":"1.0"},"canonical_sha256":"fa41a99c71bc0e6eec7763ce517916fcffd74dac5e9c1a3fb9aa5aa949e825a2","source":{"kind":"arxiv","id":"q-alg/9604007","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"q-alg/9604007","created_at":"2026-05-18T00:44:53Z"},{"alias_kind":"arxiv_version","alias_value":"q-alg/9604007v4","created_at":"2026-05-18T00:44:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-alg/9604007","created_at":"2026-05-18T00:44:53Z"},{"alias_kind":"pith_short_12","alias_value":"7JA2THDRXQHG","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"7JA2THDRXQHG53DX","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"7JA2THDR","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:7JA2THDRXQHG53DXMPHFC6IW7T","target":"record","payload":{"canonical_record":{"source":{"id":"q-alg/9604007","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"q-alg","submitted_at":"1996-04-10T14:27:13Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"54e0e2194a33dd841c197cc7da69204981559547de6c90ad9027c865b6f06ff0","abstract_canon_sha256":"d28448b1911836b2840ce6fb619c3549528ecaa055a2f05fe53709fdd6ce3f99"},"schema_version":"1.0"},"canonical_sha256":"fa41a99c71bc0e6eec7763ce517916fcffd74dac5e9c1a3fb9aa5aa949e825a2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:53.099632Z","signature_b64":"ePA7j56rZyu3WTw7KWsxnGYNC9f1X6pLDUQUG3D4toD1ein04TeNyreUXvRU/YJIw731UixknBUosjHzHqIiDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa41a99c71bc0e6eec7763ce517916fcffd74dac5e9c1a3fb9aa5aa949e825a2","last_reissued_at":"2026-05-18T00:44:53.098959Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:53.098959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"q-alg/9604007","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:44:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ec12w2b+gefX2k5i0FgYKmJKqQdPSJGUpbE52XQvEsc6x1DD0evlbhpd2CoHw4aCdX7/Sx3AgYnTfheMZBiNDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:06:08.408663Z"},"content_sha256":"8b0e9ddacfd70fe27bc1cc6417d89f57bc2b4fa97572cd49aa213f24f843fc41","schema_version":"1.0","event_id":"sha256:8b0e9ddacfd70fe27bc1cc6417d89f57bc2b4fa97572cd49aa213f24f843fc41"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:7JA2THDRXQHG53DXMPHFC6IW7T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantization of Poisson groups -- II","license":"","headline":"","cross_cats":["math.QA"],"primary_cat":"q-alg","authors_text":"Fabio Gavarini","submitted_at":"1996-04-10T14:27:13Z","abstract_excerpt":"Let $ G^\\tau $ be a connected simply connected semisimple algebraic group, endowed with generalized Sklyanin-Drinfeld structure of Poisson group; let $ H^\\tau $ be its dual Poisson group. By means of Drinfeld's double construction and dualization via formal Hopf algebras, we construct new quantum groups $ U_{q,\\phi}^M ({\\frak h}) $ --- dual of $ U_{q,\\phi}^{M'} ({\\frak g}) $ --- which yield infinitesimal quantization of $ H^\\tau $ and $ G^\\tau $; we study their specializations at roots of 1 (in particular, their classical limits), thus discovering new quantum Frobenius morphisms. The whole des"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-alg/9604007","kind":"arxiv","version":4},"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":"2026-05-18T00:44:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yPJOofKzxtM5SBllz9r/6CqmsHxu63EzjXKmejTqjRpKd4d86rkgqxZGvBgpi6jnSBn0XneIrlvn5XleIItNCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:06:08.409402Z"},"content_sha256":"ca7292ab2c02cc77c1bd7686efacdc28daef96509a78fe44c7851b4656329941","schema_version":"1.0","event_id":"sha256:ca7292ab2c02cc77c1bd7686efacdc28daef96509a78fe44c7851b4656329941"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7JA2THDRXQHG53DXMPHFC6IW7T/bundle.json","state_url":"https://pith.science/pith/7JA2THDRXQHG53DXMPHFC6IW7T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7JA2THDRXQHG53DXMPHFC6IW7T/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":"2026-06-09T08:06:08Z","links":{"resolver":"https://pith.science/pith/7JA2THDRXQHG53DXMPHFC6IW7T","bundle":"https://pith.science/pith/7JA2THDRXQHG53DXMPHFC6IW7T/bundle.json","state":"https://pith.science/pith/7JA2THDRXQHG53DXMPHFC6IW7T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7JA2THDRXQHG53DXMPHFC6IW7T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:7JA2THDRXQHG53DXMPHFC6IW7T","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":"d28448b1911836b2840ce6fb619c3549528ecaa055a2f05fe53709fdd6ce3f99","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"q-alg","submitted_at":"1996-04-10T14:27:13Z","title_canon_sha256":"54e0e2194a33dd841c197cc7da69204981559547de6c90ad9027c865b6f06ff0"},"schema_version":"1.0","source":{"id":"q-alg/9604007","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"q-alg/9604007","created_at":"2026-05-18T00:44:53Z"},{"alias_kind":"arxiv_version","alias_value":"q-alg/9604007v4","created_at":"2026-05-18T00:44:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-alg/9604007","created_at":"2026-05-18T00:44:53Z"},{"alias_kind":"pith_short_12","alias_value":"7JA2THDRXQHG","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"7JA2THDRXQHG53DX","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"7JA2THDR","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:ca7292ab2c02cc77c1bd7686efacdc28daef96509a78fe44c7851b4656329941","target":"graph","created_at":"2026-05-18T00:44:53Z","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":"Let $ G^\\tau $ be a connected simply connected semisimple algebraic group, endowed with generalized Sklyanin-Drinfeld structure of Poisson group; let $ H^\\tau $ be its dual Poisson group. By means of Drinfeld's double construction and dualization via formal Hopf algebras, we construct new quantum groups $ U_{q,\\phi}^M ({\\frak h}) $ --- dual of $ U_{q,\\phi}^{M'} ({\\frak g}) $ --- which yield infinitesimal quantization of $ H^\\tau $ and $ G^\\tau $; we study their specializations at roots of 1 (in particular, their classical limits), thus discovering new quantum Frobenius morphisms. The whole des","authors_text":"Fabio Gavarini","cross_cats":["math.QA"],"headline":"","license":"","primary_cat":"q-alg","submitted_at":"1996-04-10T14:27:13Z","title":"Quantization of Poisson groups -- II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-alg/9604007","kind":"arxiv","version":4},"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":"sha256:8b0e9ddacfd70fe27bc1cc6417d89f57bc2b4fa97572cd49aa213f24f843fc41","target":"record","created_at":"2026-05-18T00:44:53Z","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":"d28448b1911836b2840ce6fb619c3549528ecaa055a2f05fe53709fdd6ce3f99","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"q-alg","submitted_at":"1996-04-10T14:27:13Z","title_canon_sha256":"54e0e2194a33dd841c197cc7da69204981559547de6c90ad9027c865b6f06ff0"},"schema_version":"1.0","source":{"id":"q-alg/9604007","kind":"arxiv","version":4}},"canonical_sha256":"fa41a99c71bc0e6eec7763ce517916fcffd74dac5e9c1a3fb9aa5aa949e825a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa41a99c71bc0e6eec7763ce517916fcffd74dac5e9c1a3fb9aa5aa949e825a2","first_computed_at":"2026-05-18T00:44:53.098959Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:53.098959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ePA7j56rZyu3WTw7KWsxnGYNC9f1X6pLDUQUG3D4toD1ein04TeNyreUXvRU/YJIw731UixknBUosjHzHqIiDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:53.099632Z","signed_message":"canonical_sha256_bytes"},"source_id":"q-alg/9604007","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b0e9ddacfd70fe27bc1cc6417d89f57bc2b4fa97572cd49aa213f24f843fc41","sha256:ca7292ab2c02cc77c1bd7686efacdc28daef96509a78fe44c7851b4656329941"],"state_sha256":"2f81b14f47c317f3c55ce7f0686289f6b3b52913766aa456d72991bd5411ffd4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IfCJcg9KX6rN8VyT7bc1+wc+UeaM5Y+1012WM7OInn2E9Fucnn+cbHZItplXniZV9nnwTDZX7rX763x56IpyAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T08:06:08.413766Z","bundle_sha256":"363ce7ea53c488f3019c26c849c273a8344197ccdb92e77af49972875d8699b0"}}