{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:KEYGULGJS4ZX3O7FGDTW2YKMKB","short_pith_number":"pith:KEYGULGJ","canonical_record":{"source":{"id":"math/9805120","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"1998-05-27T05:09:30Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"196f741cd3490158d2dd5802e77225933a48d8784dddcb881420563d9f1e84c9","abstract_canon_sha256":"fc561e30b0fcc60f0e5623f66afc3d0067465835bf962dc775718e4fca807727"},"schema_version":"1.0"},"canonical_sha256":"51306a2cc997337dbbe530e76d614c5056d973e71ebb7b5c955705839c6b8493","source":{"kind":"arxiv","id":"math/9805120","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9805120","created_at":"2026-05-18T02:35:38Z"},{"alias_kind":"arxiv_version","alias_value":"math/9805120v2","created_at":"2026-05-18T02:35:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9805120","created_at":"2026-05-18T02:35:38Z"},{"alias_kind":"pith_short_12","alias_value":"KEYGULGJS4ZX","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"KEYGULGJS4ZX3O7F","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"KEYGULGJ","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:KEYGULGJS4ZX3O7FGDTW2YKMKB","target":"record","payload":{"canonical_record":{"source":{"id":"math/9805120","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"1998-05-27T05:09:30Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"196f741cd3490158d2dd5802e77225933a48d8784dddcb881420563d9f1e84c9","abstract_canon_sha256":"fc561e30b0fcc60f0e5623f66afc3d0067465835bf962dc775718e4fca807727"},"schema_version":"1.0"},"canonical_sha256":"51306a2cc997337dbbe530e76d614c5056d973e71ebb7b5c955705839c6b8493","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:38.431043Z","signature_b64":"ge5/p9OyrARY00T/Dx5WHSH/n7sKNvpB87+TyoqqTTgs0VwH4HDzPcnsviwJ8BxcoPDy2F4sSnZgcAFC2W6yCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51306a2cc997337dbbe530e76d614c5056d973e71ebb7b5c955705839c6b8493","last_reissued_at":"2026-05-18T02:35:38.430598Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:38.430598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/9805120","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":"2026-05-18T02:35:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PWcI2c1pS+6HhzwVcy9nACFx6UQLZihupTQtFwAqqTOHsor9dMtJVlDy2Y6uf/ZLEEBc6U4alU30RjfSi+ngDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:38:21.026754Z"},"content_sha256":"cca0f49a72854fab7e8c18dafe46ab055fc9fee521dc8ffbd23c358e8258ca50","schema_version":"1.0","event_id":"sha256:cca0f49a72854fab7e8c18dafe46ab055fc9fee521dc8ffbd23c358e8258ca50"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:KEYGULGJS4ZX3O7FGDTW2YKMKB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Real forms of quantum orthogonal groups, q-Lorentz groups in any dimension","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"math.QA","authors_text":"Paolo Aschieri","submitted_at":"1998-05-27T05:09:30Z","abstract_excerpt":"We review known real forms of the quantum orthogonal groups SO_q(N). New *-conjugations are then introduced and we contruct all real forms of quantum orthogonal groups. We thus give an RTT formulation of the *-conjugations on SO_q(N) that is complementary to the U_q(g) *-structure classification of Twietmeyer \\cite{Twietmeyer}. In particular we easily find and describe the real forms SO_q(N-1,1) for any value of N. Quantum subspaces of the q-Minkowski space are analized."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9805120","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":"2026-05-18T02:35:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NRBZ2BEfBN+H2Y4OYdzJkN/AMkE8KRY6Q+ff9B5ULsuS+770aCLQjLxqu06zV9raPbj5uq901P/IAsrtaZeCBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:38:21.027422Z"},"content_sha256":"f84fe1b821e59c0164c38b4a7fbf55fbc8702d815822fc913fd0f27c5857e362","schema_version":"1.0","event_id":"sha256:f84fe1b821e59c0164c38b4a7fbf55fbc8702d815822fc913fd0f27c5857e362"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KEYGULGJS4ZX3O7FGDTW2YKMKB/bundle.json","state_url":"https://pith.science/pith/KEYGULGJS4ZX3O7FGDTW2YKMKB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KEYGULGJS4ZX3O7FGDTW2YKMKB/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":"2026-05-26T04:38:21Z","links":{"resolver":"https://pith.science/pith/KEYGULGJS4ZX3O7FGDTW2YKMKB","bundle":"https://pith.science/pith/KEYGULGJS4ZX3O7FGDTW2YKMKB/bundle.json","state":"https://pith.science/pith/KEYGULGJS4ZX3O7FGDTW2YKMKB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KEYGULGJS4ZX3O7FGDTW2YKMKB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:KEYGULGJS4ZX3O7FGDTW2YKMKB","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":"fc561e30b0fcc60f0e5623f66afc3d0067465835bf962dc775718e4fca807727","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"math.QA","submitted_at":"1998-05-27T05:09:30Z","title_canon_sha256":"196f741cd3490158d2dd5802e77225933a48d8784dddcb881420563d9f1e84c9"},"schema_version":"1.0","source":{"id":"math/9805120","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9805120","created_at":"2026-05-18T02:35:38Z"},{"alias_kind":"arxiv_version","alias_value":"math/9805120v2","created_at":"2026-05-18T02:35:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9805120","created_at":"2026-05-18T02:35:38Z"},{"alias_kind":"pith_short_12","alias_value":"KEYGULGJS4ZX","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"KEYGULGJS4ZX3O7F","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"KEYGULGJ","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:f84fe1b821e59c0164c38b4a7fbf55fbc8702d815822fc913fd0f27c5857e362","target":"graph","created_at":"2026-05-18T02:35:38Z","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":"We review known real forms of the quantum orthogonal groups SO_q(N). New *-conjugations are then introduced and we contruct all real forms of quantum orthogonal groups. We thus give an RTT formulation of the *-conjugations on SO_q(N) that is complementary to the U_q(g) *-structure classification of Twietmeyer \\cite{Twietmeyer}. In particular we easily find and describe the real forms SO_q(N-1,1) for any value of N. Quantum subspaces of the q-Minkowski space are analized.","authors_text":"Paolo Aschieri","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"1998-05-27T05:09:30Z","title":"Real forms of quantum orthogonal groups, q-Lorentz groups in any dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9805120","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:cca0f49a72854fab7e8c18dafe46ab055fc9fee521dc8ffbd23c358e8258ca50","target":"record","created_at":"2026-05-18T02:35:38Z","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":"fc561e30b0fcc60f0e5623f66afc3d0067465835bf962dc775718e4fca807727","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"math.QA","submitted_at":"1998-05-27T05:09:30Z","title_canon_sha256":"196f741cd3490158d2dd5802e77225933a48d8784dddcb881420563d9f1e84c9"},"schema_version":"1.0","source":{"id":"math/9805120","kind":"arxiv","version":2}},"canonical_sha256":"51306a2cc997337dbbe530e76d614c5056d973e71ebb7b5c955705839c6b8493","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51306a2cc997337dbbe530e76d614c5056d973e71ebb7b5c955705839c6b8493","first_computed_at":"2026-05-18T02:35:38.430598Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:38.430598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ge5/p9OyrARY00T/Dx5WHSH/n7sKNvpB87+TyoqqTTgs0VwH4HDzPcnsviwJ8BxcoPDy2F4sSnZgcAFC2W6yCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:38.431043Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9805120","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cca0f49a72854fab7e8c18dafe46ab055fc9fee521dc8ffbd23c358e8258ca50","sha256:f84fe1b821e59c0164c38b4a7fbf55fbc8702d815822fc913fd0f27c5857e362"],"state_sha256":"4fb1c40fb2aecf32c5989128cdd5be8745c8eadfdc5e720dae7619df362d69dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RH9J5sx0mSpqAhzGB4AKQtVP6O6ZHdXpoEMu+RbJ1MbY0I6gltZ4QVVbZOHA7O/khLXQ5sbuuTSPhrr3NauADg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T04:38:21.030731Z","bundle_sha256":"472783746cb53c6fcb899b2a07287862bc365bdf07eb29262aa8df7bd2649743"}}