{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:KHVTHDE5AHG4UZF5LARLB5TXRS","short_pith_number":"pith:KHVTHDE5","canonical_record":{"source":{"id":"1505.05137","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-05-19T19:55:53Z","cross_cats_sorted":[],"title_canon_sha256":"ba36efa6df1d34aaf2882f71dc6f813efd585c087ad8be867d2c267aa9c5e8e9","abstract_canon_sha256":"b5fb500cdb47f8a05549581bb590ea056f4bb568532721c096fa5a5aca5edd39"},"schema_version":"1.0"},"canonical_sha256":"51eb338c9d01cdca64bd5822b0f6778c80bbc12873497fa0137bb266dc163d22","source":{"kind":"arxiv","id":"1505.05137","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05137","created_at":"2026-05-18T01:19:30Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05137v2","created_at":"2026-05-18T01:19:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05137","created_at":"2026-05-18T01:19:30Z"},{"alias_kind":"pith_short_12","alias_value":"KHVTHDE5AHG4","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"KHVTHDE5AHG4UZF5","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"KHVTHDE5","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:KHVTHDE5AHG4UZF5LARLB5TXRS","target":"record","payload":{"canonical_record":{"source":{"id":"1505.05137","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-05-19T19:55:53Z","cross_cats_sorted":[],"title_canon_sha256":"ba36efa6df1d34aaf2882f71dc6f813efd585c087ad8be867d2c267aa9c5e8e9","abstract_canon_sha256":"b5fb500cdb47f8a05549581bb590ea056f4bb568532721c096fa5a5aca5edd39"},"schema_version":"1.0"},"canonical_sha256":"51eb338c9d01cdca64bd5822b0f6778c80bbc12873497fa0137bb266dc163d22","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:30.203982Z","signature_b64":"xSfNJGaBJ5CXmiQlyoYz+/FGsZ75y5n3PN1OOB+S505yfS1k0g4x6okImP1l28ik5TD5PTlicuvDhHtSCE76DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51eb338c9d01cdca64bd5822b0f6778c80bbc12873497fa0137bb266dc163d22","last_reissued_at":"2026-05-18T01:19:30.203520Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:30.203520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.05137","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":"2026-05-18T01:19:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A/kYN+jUdCj+1nrBgyRJ6nI/Nj+RNT20KH+NUhUD9HU3ytGFBaxLXWMlX6w2T+rDV7boXpVaatZpJmaePmAjDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:51:08.637140Z"},"content_sha256":"57633543169ebc40cc2d5eae6e75d4176965bae65d1d15493b9d6d4cd59c859f","schema_version":"1.0","event_id":"sha256:57633543169ebc40cc2d5eae6e75d4176965bae65d1d15493b9d6d4cd59c859f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:KHVTHDE5AHG4UZF5LARLB5TXRS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum groups and generalized circular elements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Kay Kirkpatrick, Michael Brannan","submitted_at":"2015-05-19T19:55:53Z","abstract_excerpt":"We show that with respect to the Haar state, the joint distributions of the generators of Van Daele and Wang's free orthogonal quantum groups are modeled by free families of generalized circular elements and semicircular elements in the large (quantum) dimension limit. We also show that this class of quantum groups acts naturally as distributional symmetries of almost-periodic free Araki-Woods factors."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05137","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":"2026-05-18T01:19:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"22jxZILAOq1nrFVXhZnz2SRKVN/eGtQd0xivFqasat/AqLbfa4hMx6Ec+E+q9XyR1eHOXUqc/vj4Nu8NivXpBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:51:08.637509Z"},"content_sha256":"090c851e1ee369a966608d8cb7d829f8323a636edcfaffee0bf0ea09ff09648f","schema_version":"1.0","event_id":"sha256:090c851e1ee369a966608d8cb7d829f8323a636edcfaffee0bf0ea09ff09648f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KHVTHDE5AHG4UZF5LARLB5TXRS/bundle.json","state_url":"https://pith.science/pith/KHVTHDE5AHG4UZF5LARLB5TXRS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KHVTHDE5AHG4UZF5LARLB5TXRS/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":"2026-06-01T21:51:08Z","links":{"resolver":"https://pith.science/pith/KHVTHDE5AHG4UZF5LARLB5TXRS","bundle":"https://pith.science/pith/KHVTHDE5AHG4UZF5LARLB5TXRS/bundle.json","state":"https://pith.science/pith/KHVTHDE5AHG4UZF5LARLB5TXRS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KHVTHDE5AHG4UZF5LARLB5TXRS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KHVTHDE5AHG4UZF5LARLB5TXRS","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":"b5fb500cdb47f8a05549581bb590ea056f4bb568532721c096fa5a5aca5edd39","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-05-19T19:55:53Z","title_canon_sha256":"ba36efa6df1d34aaf2882f71dc6f813efd585c087ad8be867d2c267aa9c5e8e9"},"schema_version":"1.0","source":{"id":"1505.05137","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05137","created_at":"2026-05-18T01:19:30Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05137v2","created_at":"2026-05-18T01:19:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05137","created_at":"2026-05-18T01:19:30Z"},{"alias_kind":"pith_short_12","alias_value":"KHVTHDE5AHG4","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"KHVTHDE5AHG4UZF5","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"KHVTHDE5","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:090c851e1ee369a966608d8cb7d829f8323a636edcfaffee0bf0ea09ff09648f","target":"graph","created_at":"2026-05-18T01:19:30Z","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 show that with respect to the Haar state, the joint distributions of the generators of Van Daele and Wang's free orthogonal quantum groups are modeled by free families of generalized circular elements and semicircular elements in the large (quantum) dimension limit. We also show that this class of quantum groups acts naturally as distributional symmetries of almost-periodic free Araki-Woods factors.","authors_text":"Kay Kirkpatrick, Michael Brannan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-05-19T19:55:53Z","title":"Quantum groups and generalized circular elements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05137","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":"sha256:57633543169ebc40cc2d5eae6e75d4176965bae65d1d15493b9d6d4cd59c859f","target":"record","created_at":"2026-05-18T01:19:30Z","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":"b5fb500cdb47f8a05549581bb590ea056f4bb568532721c096fa5a5aca5edd39","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-05-19T19:55:53Z","title_canon_sha256":"ba36efa6df1d34aaf2882f71dc6f813efd585c087ad8be867d2c267aa9c5e8e9"},"schema_version":"1.0","source":{"id":"1505.05137","kind":"arxiv","version":2}},"canonical_sha256":"51eb338c9d01cdca64bd5822b0f6778c80bbc12873497fa0137bb266dc163d22","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51eb338c9d01cdca64bd5822b0f6778c80bbc12873497fa0137bb266dc163d22","first_computed_at":"2026-05-18T01:19:30.203520Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:30.203520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xSfNJGaBJ5CXmiQlyoYz+/FGsZ75y5n3PN1OOB+S505yfS1k0g4x6okImP1l28ik5TD5PTlicuvDhHtSCE76DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:30.203982Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.05137","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57633543169ebc40cc2d5eae6e75d4176965bae65d1d15493b9d6d4cd59c859f","sha256:090c851e1ee369a966608d8cb7d829f8323a636edcfaffee0bf0ea09ff09648f"],"state_sha256":"2b37b01e782a903341f3742395db95d6e3765376e0382ccd801da5aa1b637da2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fh+IP47eoQdnVMWiPGHIiA3hYSutLKcszBU7oD4j6UbIa+KSx2Zq1UPioK040YWvsYlqDXQm8LJ759di5XTaCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T21:51:08.639417Z","bundle_sha256":"e6c9edde5c323fb953007e165a712fce54ddcd3fd436cea3878109c897d00308"}}