{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:S23TEGJTCA6AALSDRYDNHMP2C7","short_pith_number":"pith:S23TEGJT","canonical_record":{"source":{"id":"0810.0398","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2008-10-02T12:12:37Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"6030ab5bdd585c9a6c3c571185926da58208a951f44138a43b95d3733a16f5e7","abstract_canon_sha256":"b16a86a168ebf5d58a0826545c936d71a4870c67ba03f0ab6d00a5215c8f085e"},"schema_version":"1.0"},"canonical_sha256":"96b7321933103c002e438e06d3b1fa17cd5fa861c23ce69a5bacbac0e28d29ee","source":{"kind":"arxiv","id":"0810.0398","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.0398","created_at":"2026-05-18T04:24:44Z"},{"alias_kind":"arxiv_version","alias_value":"0810.0398v1","created_at":"2026-05-18T04:24:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.0398","created_at":"2026-05-18T04:24:44Z"},{"alias_kind":"pith_short_12","alias_value":"S23TEGJTCA6A","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"S23TEGJTCA6AALSD","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"S23TEGJT","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:S23TEGJTCA6AALSDRYDNHMP2C7","target":"record","payload":{"canonical_record":{"source":{"id":"0810.0398","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2008-10-02T12:12:37Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"6030ab5bdd585c9a6c3c571185926da58208a951f44138a43b95d3733a16f5e7","abstract_canon_sha256":"b16a86a168ebf5d58a0826545c936d71a4870c67ba03f0ab6d00a5215c8f085e"},"schema_version":"1.0"},"canonical_sha256":"96b7321933103c002e438e06d3b1fa17cd5fa861c23ce69a5bacbac0e28d29ee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:44.097499Z","signature_b64":"iErS1f/YDB3NxPju6kqKR0BXcMfVu1kqYjMnEgZwDq1g66G8zkPfmu1maZnA1fhDa0AwDO9qan4rlevx0aQKCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"96b7321933103c002e438e06d3b1fa17cd5fa861c23ce69a5bacbac0e28d29ee","last_reissued_at":"2026-05-18T04:24:44.097103Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:44.097103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0810.0398","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":"2026-05-18T04:24:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UUC/pebJ2xia8M2Qq+QCq4MKmhIPUzXzkeK3M9O0wrspGDuZMZ3gLAq0zupQdfC/VKTUZARDU6oPF1rZdOBVCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T10:19:51.223539Z"},"content_sha256":"d98dc3ec7f114c6cef758204864f85820577d8e9002a55f229710ee94b99b731","schema_version":"1.0","event_id":"sha256:d98dc3ec7f114c6cef758204864f85820577d8e9002a55f229710ee94b99b731"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:S23TEGJTCA6AALSDRYDNHMP2C7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum $\\mathrm{SO}(3)$ groups and quantum group actions on $M_2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.OA","authors_text":"Piotr M. Soltan","submitted_at":"2008-10-02T12:12:37Z","abstract_excerpt":"Answering a question of Shuzhou Wang we give a description of quantum $\\SO(3)$ groups of Podle\\'s as universal objects. We use this result to give a complete classification of all continuous compact quantum group actions on $M_2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.0398","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":"2026-05-18T04:24:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hw6cZj0rL49kNtUa8iX/7zsWgTvEd5FOfxXU3paan+DHhZh5Cs//8Y2Tn4aoG9jM/7YLK9OHWF9ntcoNhpJhAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T10:19:51.223880Z"},"content_sha256":"83a25ac0cf9f0511c32c2b97b2914331d7292beef3e9b97d32802c8a23a7ee0f","schema_version":"1.0","event_id":"sha256:83a25ac0cf9f0511c32c2b97b2914331d7292beef3e9b97d32802c8a23a7ee0f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S23TEGJTCA6AALSDRYDNHMP2C7/bundle.json","state_url":"https://pith.science/pith/S23TEGJTCA6AALSDRYDNHMP2C7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S23TEGJTCA6AALSDRYDNHMP2C7/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":"2026-06-11T10:19:51Z","links":{"resolver":"https://pith.science/pith/S23TEGJTCA6AALSDRYDNHMP2C7","bundle":"https://pith.science/pith/S23TEGJTCA6AALSDRYDNHMP2C7/bundle.json","state":"https://pith.science/pith/S23TEGJTCA6AALSDRYDNHMP2C7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S23TEGJTCA6AALSDRYDNHMP2C7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:S23TEGJTCA6AALSDRYDNHMP2C7","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":"b16a86a168ebf5d58a0826545c936d71a4870c67ba03f0ab6d00a5215c8f085e","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2008-10-02T12:12:37Z","title_canon_sha256":"6030ab5bdd585c9a6c3c571185926da58208a951f44138a43b95d3733a16f5e7"},"schema_version":"1.0","source":{"id":"0810.0398","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.0398","created_at":"2026-05-18T04:24:44Z"},{"alias_kind":"arxiv_version","alias_value":"0810.0398v1","created_at":"2026-05-18T04:24:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.0398","created_at":"2026-05-18T04:24:44Z"},{"alias_kind":"pith_short_12","alias_value":"S23TEGJTCA6A","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"S23TEGJTCA6AALSD","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"S23TEGJT","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:83a25ac0cf9f0511c32c2b97b2914331d7292beef3e9b97d32802c8a23a7ee0f","target":"graph","created_at":"2026-05-18T04:24:44Z","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":"Answering a question of Shuzhou Wang we give a description of quantum $\\SO(3)$ groups of Podle\\'s as universal objects. We use this result to give a complete classification of all continuous compact quantum group actions on $M_2$.","authors_text":"Piotr M. Soltan","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2008-10-02T12:12:37Z","title":"Quantum $\\mathrm{SO}(3)$ groups and quantum group actions on $M_2$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.0398","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:d98dc3ec7f114c6cef758204864f85820577d8e9002a55f229710ee94b99b731","target":"record","created_at":"2026-05-18T04:24:44Z","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":"b16a86a168ebf5d58a0826545c936d71a4870c67ba03f0ab6d00a5215c8f085e","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2008-10-02T12:12:37Z","title_canon_sha256":"6030ab5bdd585c9a6c3c571185926da58208a951f44138a43b95d3733a16f5e7"},"schema_version":"1.0","source":{"id":"0810.0398","kind":"arxiv","version":1}},"canonical_sha256":"96b7321933103c002e438e06d3b1fa17cd5fa861c23ce69a5bacbac0e28d29ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"96b7321933103c002e438e06d3b1fa17cd5fa861c23ce69a5bacbac0e28d29ee","first_computed_at":"2026-05-18T04:24:44.097103Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:44.097103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iErS1f/YDB3NxPju6kqKR0BXcMfVu1kqYjMnEgZwDq1g66G8zkPfmu1maZnA1fhDa0AwDO9qan4rlevx0aQKCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:44.097499Z","signed_message":"canonical_sha256_bytes"},"source_id":"0810.0398","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d98dc3ec7f114c6cef758204864f85820577d8e9002a55f229710ee94b99b731","sha256:83a25ac0cf9f0511c32c2b97b2914331d7292beef3e9b97d32802c8a23a7ee0f"],"state_sha256":"1148cdf3d5b031ba9db97482c5dfdfa6a76f5f865e2e99f1e480123b8c2be9cf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S7/noQjDXokIqlGdfoJf40/Wm+gQDTp0UP0wMGwhfLKtQ5tEkHlQb4ahsejUaoHOq6ivub+R+AFSHphPuCJJDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T10:19:51.225836Z","bundle_sha256":"c1455a137fd4f47f533a7808250ee1c4edeacdae8f19fa92d932482b1f20fd06"}}