{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:HDZB2NABGQCRG6S5H66LUDC3HG","short_pith_number":"pith:HDZB2NAB","canonical_record":{"source":{"id":"math/0604622","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.OA","submitted_at":"2006-04-28T06:19:51Z","cross_cats_sorted":[],"title_canon_sha256":"2cb92173931aa99fee5516a5dc32369a4b4f9174ff46d7f7310a89be5e157790","abstract_canon_sha256":"fb0344990acc7aa6b4389d232eff47bfba9f9130bd10306d7e4b64a34a7b969b"},"schema_version":"1.0"},"canonical_sha256":"38f21d34013405137a5d3fbcba0c5b39a8cf470d4aaa15d668e4cfaa66f1fd7f","source":{"kind":"arxiv","id":"math/0604622","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0604622","created_at":"2026-05-18T01:09:15Z"},{"alias_kind":"arxiv_version","alias_value":"math/0604622v1","created_at":"2026-05-18T01:09:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0604622","created_at":"2026-05-18T01:09:15Z"},{"alias_kind":"pith_short_12","alias_value":"HDZB2NABGQCR","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"HDZB2NABGQCRG6S5","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"HDZB2NAB","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:HDZB2NABGQCRG6S5H66LUDC3HG","target":"record","payload":{"canonical_record":{"source":{"id":"math/0604622","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.OA","submitted_at":"2006-04-28T06:19:51Z","cross_cats_sorted":[],"title_canon_sha256":"2cb92173931aa99fee5516a5dc32369a4b4f9174ff46d7f7310a89be5e157790","abstract_canon_sha256":"fb0344990acc7aa6b4389d232eff47bfba9f9130bd10306d7e4b64a34a7b969b"},"schema_version":"1.0"},"canonical_sha256":"38f21d34013405137a5d3fbcba0c5b39a8cf470d4aaa15d668e4cfaa66f1fd7f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:15.573879Z","signature_b64":"1Mu2KYji50bPNRH4nADbC8ENv8MLh8gTpDtJrj30csDLi/JPpImn+6meEQeXXXtA4PUoC0R3Rc9RPzA191AaCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38f21d34013405137a5d3fbcba0c5b39a8cf470d4aaa15d668e4cfaa66f1fd7f","last_reissued_at":"2026-05-18T01:09:15.573278Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:15.573278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0604622","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":"qKp/BEm2ryo72GDyO2wKBQTyKP8sniy9dJNtlaEj7IXEt4s9Ovl3aXwkfw/MtKOTNFFk2gp5hJK1z1yqQJNpDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T09:59:49.678054Z"},"content_sha256":"864d7908954dd7fd7b2e5ed05e81f6cf2f3baffad14f0bf4fc27b78908877823","schema_version":"1.0","event_id":"sha256:864d7908954dd7fd7b2e5ed05e81f6cf2f3baffad14f0bf4fc27b78908877823"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:HDZB2NABGQCRG6S5H66LUDC3HG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New quantum \"az+b\" groups","license":"","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"P. M. So{\\l}tan","submitted_at":"2006-04-28T06:19:51Z","abstract_excerpt":"We construct quantum \"az+b\" groups for new values of the deformation parameter. Along the way we introduce new special functions and study their analytic properties as well as analyze the commutation relations determined by the choice of parameter."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0604622","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":"Pia+xbCQWGJtMQSmczwJ4tPUOJZH1qBggs5viMX2tZH/BBiiXVoRwlTkyNvas/U7jQqCBYaoeUP/+32lFVJDAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T09:59:49.678400Z"},"content_sha256":"7074fa587a4e55fddb9d06ad11a28f703cd1b3af5a34c3fced090057d781a3e6","schema_version":"1.0","event_id":"sha256:7074fa587a4e55fddb9d06ad11a28f703cd1b3af5a34c3fced090057d781a3e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HDZB2NABGQCRG6S5H66LUDC3HG/bundle.json","state_url":"https://pith.science/pith/HDZB2NABGQCRG6S5H66LUDC3HG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HDZB2NABGQCRG6S5H66LUDC3HG/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":"2026-06-26T09:59:49Z","links":{"resolver":"https://pith.science/pith/HDZB2NABGQCRG6S5H66LUDC3HG","bundle":"https://pith.science/pith/HDZB2NABGQCRG6S5H66LUDC3HG/bundle.json","state":"https://pith.science/pith/HDZB2NABGQCRG6S5H66LUDC3HG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HDZB2NABGQCRG6S5H66LUDC3HG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:HDZB2NABGQCRG6S5H66LUDC3HG","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":"fb0344990acc7aa6b4389d232eff47bfba9f9130bd10306d7e4b64a34a7b969b","cross_cats_sorted":[],"license":"","primary_cat":"math.OA","submitted_at":"2006-04-28T06:19:51Z","title_canon_sha256":"2cb92173931aa99fee5516a5dc32369a4b4f9174ff46d7f7310a89be5e157790"},"schema_version":"1.0","source":{"id":"math/0604622","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0604622","created_at":"2026-05-18T01:09:15Z"},{"alias_kind":"arxiv_version","alias_value":"math/0604622v1","created_at":"2026-05-18T01:09:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0604622","created_at":"2026-05-18T01:09:15Z"},{"alias_kind":"pith_short_12","alias_value":"HDZB2NABGQCR","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"HDZB2NABGQCRG6S5","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"HDZB2NAB","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:7074fa587a4e55fddb9d06ad11a28f703cd1b3af5a34c3fced090057d781a3e6","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 construct quantum \"az+b\" groups for new values of the deformation parameter. Along the way we introduce new special functions and study their analytic properties as well as analyze the commutation relations determined by the choice of parameter.","authors_text":"P. M. So{\\l}tan","cross_cats":[],"headline":"","license":"","primary_cat":"math.OA","submitted_at":"2006-04-28T06:19:51Z","title":"New quantum \"az+b\" groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0604622","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":"sha256:864d7908954dd7fd7b2e5ed05e81f6cf2f3baffad14f0bf4fc27b78908877823","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":"fb0344990acc7aa6b4389d232eff47bfba9f9130bd10306d7e4b64a34a7b969b","cross_cats_sorted":[],"license":"","primary_cat":"math.OA","submitted_at":"2006-04-28T06:19:51Z","title_canon_sha256":"2cb92173931aa99fee5516a5dc32369a4b4f9174ff46d7f7310a89be5e157790"},"schema_version":"1.0","source":{"id":"math/0604622","kind":"arxiv","version":1}},"canonical_sha256":"38f21d34013405137a5d3fbcba0c5b39a8cf470d4aaa15d668e4cfaa66f1fd7f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38f21d34013405137a5d3fbcba0c5b39a8cf470d4aaa15d668e4cfaa66f1fd7f","first_computed_at":"2026-05-18T01:09:15.573278Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:15.573278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1Mu2KYji50bPNRH4nADbC8ENv8MLh8gTpDtJrj30csDLi/JPpImn+6meEQeXXXtA4PUoC0R3Rc9RPzA191AaCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:15.573879Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0604622","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:864d7908954dd7fd7b2e5ed05e81f6cf2f3baffad14f0bf4fc27b78908877823","sha256:7074fa587a4e55fddb9d06ad11a28f703cd1b3af5a34c3fced090057d781a3e6"],"state_sha256":"faf225b1693fda04e33ca9ccb6af12d798cf446b01cdbeaae8b6ead4f7522a2e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jvX6CzsBkijVjLxjsjP4UIPsUqXKdRdsnbe5Ev5HjN9+9OFhtbuOK94huhlmENGW6J7j3PwfgYoVeZpmAJD3Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T09:59:49.680243Z","bundle_sha256":"598ca5b72afc685e0ac9c9dfd95a2906c38bac6b7f52f5ea5f132a96c92e2f7e"}}