{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:7GFLZYUNSCEAFSX6H2APAYQ2RW","short_pith_number":"pith:7GFLZYUN","canonical_record":{"source":{"id":"hep-th/0203095","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-03-11T06:00:42Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"4c957de1bdaea0b8581a3bd24f7efce648cd5542e5c0a6d1a0fd4c5682158f20","abstract_canon_sha256":"cf9c63f2bece306cdc075c2e75ac428e935ef76e34e9015b743fc199d39eecee"},"schema_version":"1.0"},"canonical_sha256":"f98abce28d908802cafe3e80f0621a8dbd00a9e1260aeeb5fdeadb6a4b4ec45e","source":{"kind":"arxiv","id":"hep-th/0203095","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:7GFLZYUNSCEAFSX6H2APAYQ2RW","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0203095","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-03-11T06:00:42Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"4c957de1bdaea0b8581a3bd24f7efce648cd5542e5c0a6d1a0fd4c5682158f20","abstract_canon_sha256":"cf9c63f2bece306cdc075c2e75ac428e935ef76e34e9015b743fc199d39eecee"},"schema_version":"1.0"},"canonical_sha256":"f98abce28d908802cafe3e80f0621a8dbd00a9e1260aeeb5fdeadb6a4b4ec45e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:20:58.358491Z","signature_b64":"ogXCzEoK0mtPAC3GI2knKue1BAokPR1ofhhNc8h7jL2dIzceboeAeQvtIgcHSqS0D1p08DylgNCs40KZ9kLfCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f98abce28d908802cafe3e80f0621a8dbd00a9e1260aeeb5fdeadb6a4b4ec45e","last_reissued_at":"2026-07-04T15:20:58.358065Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:20:58.358065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0203095","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":"2026-07-04T15:20:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S2bVwGSOqKuHJSSNH51gswnpsH2lXG8bbpoayoCezo0ehdyn7AvUvSYYmOl95522ee79yzwxV1SCGYafecLwBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T19:46:17.664693Z"},"content_sha256":"609c4c2561acaf03448deae232dd9d1dc3d35ecf8dcdbf82f8dcb33f6566d924","schema_version":"1.0","event_id":"sha256:609c4c2561acaf03448deae232dd9d1dc3d35ecf8dcdbf82f8dcb33f6566d924"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:7GFLZYUNSCEAFSX6H2APAYQ2RW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-commutative geometry of 4-dimensional quantum Hall droplet","license":"","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"hep-th","authors_text":"Bo-Yuan Hou, Bo-Yu Hou, Yi-Xin Chen","submitted_at":"2002-03-11T06:00:42Z","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. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0203095","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0203095/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:20:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qeVH9ecjSz6m1R9hwwUerc3pVROxXFuHXSd/6wAsAtP0hONBucWuN0FbGa0wKZDdaMnouqu7bRqw7sVjAnanBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T19:46:17.665187Z"},"content_sha256":"26dfe1bc838e2986036413a6bb4653f2688d5c348725778a5e1ae04193967033","schema_version":"1.0","event_id":"sha256:26dfe1bc838e2986036413a6bb4653f2688d5c348725778a5e1ae04193967033"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7GFLZYUNSCEAFSX6H2APAYQ2RW/bundle.json","state_url":"https://pith.science/pith/7GFLZYUNSCEAFSX6H2APAYQ2RW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7GFLZYUNSCEAFSX6H2APAYQ2RW/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":"2026-08-07T19:46:17Z","links":{"resolver":"https://pith.science/pith/7GFLZYUNSCEAFSX6H2APAYQ2RW","bundle":"https://pith.science/pith/7GFLZYUNSCEAFSX6H2APAYQ2RW/bundle.json","state":"https://pith.science/pith/7GFLZYUNSCEAFSX6H2APAYQ2RW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7GFLZYUNSCEAFSX6H2APAYQ2RW/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ndHIRsUsmKyvTuqDGV+Qx+3L1eJZNZvNTBb72MeCCigfwt7Uzdjov/muqZtpEZBIrv9j3+3orn+4dhynyxFSAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T19:46:17.669086Z","bundle_sha256":"2ab050b8bf0b0022cd6ef91d348fd62190f36dccb51a2c5666bd1ba68a075a37"}}