{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:LI32XFGXJDBE4WH4ZIP6XJAGZE","short_pith_number":"pith:LI32XFGX","canonical_record":{"source":{"id":"1610.09803","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-10-31T06:23:42Z","cross_cats_sorted":[],"title_canon_sha256":"f90a6859aae782c41a29ccd3b9e663679bb12b7105288486e6d8e34f13cc74b3","abstract_canon_sha256":"f77710c2ff7406d05333518b7db7b7eb2d106f7d6184482608b010ded0915814"},"schema_version":"1.0"},"canonical_sha256":"5a37ab94d748c24e58fcca1feba406c93979fc1a0950f7c29417bcbbce81ec79","source":{"kind":"arxiv","id":"1610.09803","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09803","created_at":"2026-05-18T00:52:29Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09803v2","created_at":"2026-05-18T00:52:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09803","created_at":"2026-05-18T00:52:29Z"},{"alias_kind":"pith_short_12","alias_value":"LI32XFGXJDBE","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LI32XFGXJDBE4WH4","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LI32XFGX","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:LI32XFGXJDBE4WH4ZIP6XJAGZE","target":"record","payload":{"canonical_record":{"source":{"id":"1610.09803","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-10-31T06:23:42Z","cross_cats_sorted":[],"title_canon_sha256":"f90a6859aae782c41a29ccd3b9e663679bb12b7105288486e6d8e34f13cc74b3","abstract_canon_sha256":"f77710c2ff7406d05333518b7db7b7eb2d106f7d6184482608b010ded0915814"},"schema_version":"1.0"},"canonical_sha256":"5a37ab94d748c24e58fcca1feba406c93979fc1a0950f7c29417bcbbce81ec79","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:29.277716Z","signature_b64":"unu52B5QgE30PAP0v92BlqHlfrR6v5bvhqPu50+D3FYjQzt+BX4XDeuVJUNI3e4fX6x8X4JT78Iuv5egH3N7CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a37ab94d748c24e58fcca1feba406c93979fc1a0950f7c29417bcbbce81ec79","last_reissued_at":"2026-05-18T00:52:29.277142Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:29.277142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.09803","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":"2026-05-18T00:52:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"unwaTIPzo0f2+m2df4w1E4R6VVINCKV5BDEWk+9C3fe2TGZ6f5D2QBGnR8z05CfHBII9z9FisL0LsVKbr+GcCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T19:10:23.441067Z"},"content_sha256":"40262a66d1fd678b2625f25f82befa1490a4872600b4e357010773a4f76a29c4","schema_version":"1.0","event_id":"sha256:40262a66d1fd678b2625f25f82befa1490a4872600b4e357010773a4f76a29c4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:LI32XFGXJDBE4WH4ZIP6XJAGZE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A quantum analogue of generalized cluster algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Fan Xu, Liqian Bai, Ming Ding, Xueqing Chen","submitted_at":"2016-10-31T06:23:42Z","abstract_excerpt":"We define a quantum analogue of a class of generalized cluster algebras which can be viewed as a generalization of quantum cluster algebras defined in \\cite{berzel}. In the case of rank two, we extend some structural results from the classical theory of generalized cluster algebras obtained in \\cite{CS}\\cite{rupel} to the quantum case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09803","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":"2026-05-18T00:52:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wygw5dVX7CxuRqzNM+E2/7wdESoligibZS5gvlz06wUYsZ5bm8Vqco/pzCE/b60JXarhZG2Xg+35v0x9cyGcAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T19:10:23.441683Z"},"content_sha256":"b317011610beef0232979c0747e89a076d5dce3d07e0c200a985bc9dd6ca2b2e","schema_version":"1.0","event_id":"sha256:b317011610beef0232979c0747e89a076d5dce3d07e0c200a985bc9dd6ca2b2e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LI32XFGXJDBE4WH4ZIP6XJAGZE/bundle.json","state_url":"https://pith.science/pith/LI32XFGXJDBE4WH4ZIP6XJAGZE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LI32XFGXJDBE4WH4ZIP6XJAGZE/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":"2026-05-26T19:10:23Z","links":{"resolver":"https://pith.science/pith/LI32XFGXJDBE4WH4ZIP6XJAGZE","bundle":"https://pith.science/pith/LI32XFGXJDBE4WH4ZIP6XJAGZE/bundle.json","state":"https://pith.science/pith/LI32XFGXJDBE4WH4ZIP6XJAGZE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LI32XFGXJDBE4WH4ZIP6XJAGZE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LI32XFGXJDBE4WH4ZIP6XJAGZE","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":"f77710c2ff7406d05333518b7db7b7eb2d106f7d6184482608b010ded0915814","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-10-31T06:23:42Z","title_canon_sha256":"f90a6859aae782c41a29ccd3b9e663679bb12b7105288486e6d8e34f13cc74b3"},"schema_version":"1.0","source":{"id":"1610.09803","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.09803","created_at":"2026-05-18T00:52:29Z"},{"alias_kind":"arxiv_version","alias_value":"1610.09803v2","created_at":"2026-05-18T00:52:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09803","created_at":"2026-05-18T00:52:29Z"},{"alias_kind":"pith_short_12","alias_value":"LI32XFGXJDBE","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LI32XFGXJDBE4WH4","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LI32XFGX","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:b317011610beef0232979c0747e89a076d5dce3d07e0c200a985bc9dd6ca2b2e","target":"graph","created_at":"2026-05-18T00:52:29Z","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 define a quantum analogue of a class of generalized cluster algebras which can be viewed as a generalization of quantum cluster algebras defined in \\cite{berzel}. In the case of rank two, we extend some structural results from the classical theory of generalized cluster algebras obtained in \\cite{CS}\\cite{rupel} to the quantum case.","authors_text":"Fan Xu, Liqian Bai, Ming Ding, Xueqing Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-10-31T06:23:42Z","title":"A quantum analogue of generalized cluster algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09803","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":"sha256:40262a66d1fd678b2625f25f82befa1490a4872600b4e357010773a4f76a29c4","target":"record","created_at":"2026-05-18T00:52:29Z","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":"f77710c2ff7406d05333518b7db7b7eb2d106f7d6184482608b010ded0915814","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-10-31T06:23:42Z","title_canon_sha256":"f90a6859aae782c41a29ccd3b9e663679bb12b7105288486e6d8e34f13cc74b3"},"schema_version":"1.0","source":{"id":"1610.09803","kind":"arxiv","version":2}},"canonical_sha256":"5a37ab94d748c24e58fcca1feba406c93979fc1a0950f7c29417bcbbce81ec79","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a37ab94d748c24e58fcca1feba406c93979fc1a0950f7c29417bcbbce81ec79","first_computed_at":"2026-05-18T00:52:29.277142Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:29.277142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"unu52B5QgE30PAP0v92BlqHlfrR6v5bvhqPu50+D3FYjQzt+BX4XDeuVJUNI3e4fX6x8X4JT78Iuv5egH3N7CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:29.277716Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.09803","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:40262a66d1fd678b2625f25f82befa1490a4872600b4e357010773a4f76a29c4","sha256:b317011610beef0232979c0747e89a076d5dce3d07e0c200a985bc9dd6ca2b2e"],"state_sha256":"a8f31bf0ad5a0af86a252acbfa57a59313486fce80c775f14699c1a79fcea0b7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"npNgwJpP6O2p5AZ+FltENuZ6A4OkQYMtiFskel5CJNL15irSRfTRRoDJKrUPC9t0sHXs70Te640C6vQtybyvDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T19:10:23.444813Z","bundle_sha256":"b5d0d5e96c404104e9adf0bda8f6abd65736737952ea604e6ecb358d8735fd8c"}}