{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:7GFLZYUNSCEAFSX6H2APAYQ2RW","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":"cf9c63f2bece306cdc075c2e75ac428e935ef76e34e9015b743fc199d39eecee","cross_cats_sorted":["cond-mat.mes-hall"],"license":"","primary_cat":"hep-th","submitted_at":"2002-03-11T06:00:42Z","title_canon_sha256":"4c957de1bdaea0b8581a3bd24f7efce648cd5542e5c0a6d1a0fd4c5682158f20"},"schema_version":"1.0","source":{"id":"hep-th/0203095","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0203095","created_at":"2026-07-04T15:20:58Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0203095v2","created_at":"2026-07-04T15:20:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0203095","created_at":"2026-07-04T15:20:58Z"},{"alias_kind":"pith_short_12","alias_value":"7GFLZYUNSCEA","created_at":"2026-07-04T15:20:58Z"},{"alias_kind":"pith_short_16","alias_value":"7GFLZYUNSCEAFSX6","created_at":"2026-07-04T15:20:58Z"},{"alias_kind":"pith_short_8","alias_value":"7GFLZYUN","created_at":"2026-07-04T15:20:58Z"}],"graph_snapshots":[{"event_id":"sha256:26dfe1bc838e2986036413a6bb4653f2688d5c348725778a5e1ae04193967033","target":"graph","created_at":"2026-07-04T15:20:58Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/0203095/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop the description of non-commutative geometry of the 4-dimensional quantum Hall fluid's theory proposed recently by Zhang and Hu. The non-commutative structure of fuzzy $S^{4}$ appears naturally in this theory. The fuzzy monopole harmonics, which are the essential elements in this non-commutative geometry, are explicitly constructed and their obeying the matrix algebra is obtained. This matrix algebra is associative. We also propose a fusion scheme of the fuzzy monopole harmonics of the coupling system from those of the subsystems, and determine the fusion rule in such fusion scheme. ","authors_text":"Bo-Yuan Hou, Bo-Yu Hou, Yi-Xin Chen","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-03-11T06:00:42Z","title":"Non-commutative geometry of 4-dimensional quantum Hall droplet"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0203095","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":"sha256:609c4c2561acaf03448deae232dd9d1dc3d35ecf8dcdbf82f8dcb33f6566d924","target":"record","created_at":"2026-07-04T15:20:58Z","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":"cf9c63f2bece306cdc075c2e75ac428e935ef76e34e9015b743fc199d39eecee","cross_cats_sorted":["cond-mat.mes-hall"],"license":"","primary_cat":"hep-th","submitted_at":"2002-03-11T06:00:42Z","title_canon_sha256":"4c957de1bdaea0b8581a3bd24f7efce648cd5542e5c0a6d1a0fd4c5682158f20"},"schema_version":"1.0","source":{"id":"hep-th/0203095","kind":"arxiv","version":2}},"canonical_sha256":"f98abce28d908802cafe3e80f0621a8dbd00a9e1260aeeb5fdeadb6a4b4ec45e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f98abce28d908802cafe3e80f0621a8dbd00a9e1260aeeb5fdeadb6a4b4ec45e","first_computed_at":"2026-07-04T15:20:58.358065Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:20:58.358065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ogXCzEoK0mtPAC3GI2knKue1BAokPR1ofhhNc8h7jL2dIzceboeAeQvtIgcHSqS0D1p08DylgNCs40KZ9kLfCg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:20:58.358491Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0203095","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:609c4c2561acaf03448deae232dd9d1dc3d35ecf8dcdbf82f8dcb33f6566d924","sha256:26dfe1bc838e2986036413a6bb4653f2688d5c348725778a5e1ae04193967033"],"state_sha256":"6696c434a4841f34edb48c30034e4a1d0228e672280f69906204ac2b89ee2fa6"}