{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:3R3YZPJGUYW2M6TU3P4ZTQR2LU","short_pith_number":"pith:3R3YZPJG","canonical_record":{"source":{"id":"math/0604623","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.OA","submitted_at":"2006-04-28T06:26:39Z","cross_cats_sorted":[],"title_canon_sha256":"836ff653c0c7983cc09cd2da32515b168dc0eabbe7b545f1a0dec7801a577985","abstract_canon_sha256":"022e0fee2b6c72eaf30386b92ae786be133767a4c6523fc8fd1e571545fd87b6"},"schema_version":"1.0"},"canonical_sha256":"dc778cbd26a62da67a74dbf999c23a5d23810f54de48a854bae018668ab01057","source":{"kind":"arxiv","id":"math/0604623","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0604623","created_at":"2026-05-18T01:09:15Z"},{"alias_kind":"arxiv_version","alias_value":"math/0604623v1","created_at":"2026-05-18T01:09:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0604623","created_at":"2026-05-18T01:09:15Z"},{"alias_kind":"pith_short_12","alias_value":"3R3YZPJGUYW2","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"3R3YZPJGUYW2M6TU","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"3R3YZPJG","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:3R3YZPJGUYW2M6TU3P4ZTQR2LU","target":"record","payload":{"canonical_record":{"source":{"id":"math/0604623","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.OA","submitted_at":"2006-04-28T06:26:39Z","cross_cats_sorted":[],"title_canon_sha256":"836ff653c0c7983cc09cd2da32515b168dc0eabbe7b545f1a0dec7801a577985","abstract_canon_sha256":"022e0fee2b6c72eaf30386b92ae786be133767a4c6523fc8fd1e571545fd87b6"},"schema_version":"1.0"},"canonical_sha256":"dc778cbd26a62da67a74dbf999c23a5d23810f54de48a854bae018668ab01057","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:15.565542Z","signature_b64":"Ckn1Yatt9j0J96r1FgxrENnR0yBmjcJQdfWNCrXB1op5g2pxR4BJUzZTUExh1zwYIgw9SVL1rBK18tty2/gMCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dc778cbd26a62da67a74dbf999c23a5d23810f54de48a854bae018668ab01057","last_reissued_at":"2026-05-18T01:09:15.564928Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:15.564928Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0604623","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":"2026-05-18T01:09:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5COFrIvP+j23B643muag6c3U1AH23m3ufxNMzwcvIKVVFXvH8FagHN69B8hnEo72h3Hi4vytZiOK1fu8nzpPAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T11:02:13.276870Z"},"content_sha256":"83f584b234b5c254149cdf09a4656909f3e1da9ec44ddfbee2610fed4e628aca","schema_version":"1.0","event_id":"sha256:83f584b234b5c254149cdf09a4656909f3e1da9ec44ddfbee2610fed4e628aca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:3R3YZPJGUYW2M6TU3P4ZTQR2LU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum bohr compactification of discrete quantum groups","license":"","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"P. M. So{\\l}tan","submitted_at":"2006-04-28T06:26:39Z","abstract_excerpt":"We introduce the analog of Bohr compactification for discrete quantum groups on C*-algebra level. The cases of unimodular and general C*-algebraic discrete quantum groups are treated separately. The passage from the former case to the latter is done with help of the concept of canonical Kac quotient for compact quantum groups\\footnotemark. Several examples are presented and passage to the Bohr compactification is investigated."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0604623","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":"2026-05-18T01:09:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0gDpDA67NDajvmdVrIie2bvV7v+jDmAiAzG9kSXQiYk5af/Rbttx5ThY66oAu8Ta9fkJ+d1g8Wtu4j71j7e1Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T11:02:13.277191Z"},"content_sha256":"792470c321519caa799664e95fa9bf3fe7e1de143d52a850e4bcadc9bd47f8de","schema_version":"1.0","event_id":"sha256:792470c321519caa799664e95fa9bf3fe7e1de143d52a850e4bcadc9bd47f8de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3R3YZPJGUYW2M6TU3P4ZTQR2LU/bundle.json","state_url":"https://pith.science/pith/3R3YZPJGUYW2M6TU3P4ZTQR2LU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3R3YZPJGUYW2M6TU3P4ZTQR2LU/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":"2026-06-26T11:02:13Z","links":{"resolver":"https://pith.science/pith/3R3YZPJGUYW2M6TU3P4ZTQR2LU","bundle":"https://pith.science/pith/3R3YZPJGUYW2M6TU3P4ZTQR2LU/bundle.json","state":"https://pith.science/pith/3R3YZPJGUYW2M6TU3P4ZTQR2LU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3R3YZPJGUYW2M6TU3P4ZTQR2LU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:3R3YZPJGUYW2M6TU3P4ZTQR2LU","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":"022e0fee2b6c72eaf30386b92ae786be133767a4c6523fc8fd1e571545fd87b6","cross_cats_sorted":[],"license":"","primary_cat":"math.OA","submitted_at":"2006-04-28T06:26:39Z","title_canon_sha256":"836ff653c0c7983cc09cd2da32515b168dc0eabbe7b545f1a0dec7801a577985"},"schema_version":"1.0","source":{"id":"math/0604623","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0604623","created_at":"2026-05-18T01:09:15Z"},{"alias_kind":"arxiv_version","alias_value":"math/0604623v1","created_at":"2026-05-18T01:09:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0604623","created_at":"2026-05-18T01:09:15Z"},{"alias_kind":"pith_short_12","alias_value":"3R3YZPJGUYW2","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"3R3YZPJGUYW2M6TU","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"3R3YZPJG","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:792470c321519caa799664e95fa9bf3fe7e1de143d52a850e4bcadc9bd47f8de","target":"graph","created_at":"2026-05-18T01:09:15Z","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 introduce the analog of Bohr compactification for discrete quantum groups on C*-algebra level. The cases of unimodular and general C*-algebraic discrete quantum groups are treated separately. The passage from the former case to the latter is done with help of the concept of canonical Kac quotient for compact quantum groups\\footnotemark. Several examples are presented and passage to the Bohr compactification is investigated.","authors_text":"P. M. So{\\l}tan","cross_cats":[],"headline":"","license":"","primary_cat":"math.OA","submitted_at":"2006-04-28T06:26:39Z","title":"Quantum bohr compactification of discrete quantum groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0604623","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":"sha256:83f584b234b5c254149cdf09a4656909f3e1da9ec44ddfbee2610fed4e628aca","target":"record","created_at":"2026-05-18T01:09:15Z","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":"022e0fee2b6c72eaf30386b92ae786be133767a4c6523fc8fd1e571545fd87b6","cross_cats_sorted":[],"license":"","primary_cat":"math.OA","submitted_at":"2006-04-28T06:26:39Z","title_canon_sha256":"836ff653c0c7983cc09cd2da32515b168dc0eabbe7b545f1a0dec7801a577985"},"schema_version":"1.0","source":{"id":"math/0604623","kind":"arxiv","version":1}},"canonical_sha256":"dc778cbd26a62da67a74dbf999c23a5d23810f54de48a854bae018668ab01057","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc778cbd26a62da67a74dbf999c23a5d23810f54de48a854bae018668ab01057","first_computed_at":"2026-05-18T01:09:15.564928Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:15.564928Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ckn1Yatt9j0J96r1FgxrENnR0yBmjcJQdfWNCrXB1op5g2pxR4BJUzZTUExh1zwYIgw9SVL1rBK18tty2/gMCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:15.565542Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0604623","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83f584b234b5c254149cdf09a4656909f3e1da9ec44ddfbee2610fed4e628aca","sha256:792470c321519caa799664e95fa9bf3fe7e1de143d52a850e4bcadc9bd47f8de"],"state_sha256":"334dde530a3cf7fc1e000da0bd9eeec58b531afc7606658a49e245034163c1e4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/u50FclB+PFUeJ3T+pqRe/HPKV7DWA7az7nmi+y/YCn6cXu5xIvBfv2EQuPPNJrz7M8xzbkOMxsg6g+Q4c2GBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T11:02:13.278922Z","bundle_sha256":"63f8c1a552232fc4259fe30bc5e5b0112bd8d599f4f9dfafacbd2185c93ebbd8"}}