{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:YXLBDTACS4IZRT7GA7CB4MRFLL","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":"a59470c6c1326e4ec1912442e16b57f93a43d435eb886df1b415b64b027d18f1","cross_cats_sorted":["gr-qc","hep-lat","math.QA"],"license":"","primary_cat":"hep-th","submitted_at":"2001-03-05T00:53:24Z","title_canon_sha256":"aea11af2de46c3e66b81ef3a65389ba21dcaf269059d8769f99b2608b13270db"},"schema_version":"1.0","source":{"id":"hep-th/0103023","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0103023","created_at":"2026-07-04T15:23:14Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0103023v2","created_at":"2026-07-04T15:23:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0103023","created_at":"2026-07-04T15:23:14Z"},{"alias_kind":"pith_short_12","alias_value":"YXLBDTACS4IZ","created_at":"2026-07-04T15:23:14Z"},{"alias_kind":"pith_short_16","alias_value":"YXLBDTACS4IZRT7G","created_at":"2026-07-04T15:23:14Z"},{"alias_kind":"pith_short_8","alias_value":"YXLBDTAC","created_at":"2026-07-04T15:23:14Z"}],"graph_snapshots":[{"event_id":"sha256:5db523d6c3dd2b2e786da4a789d7976803c9c65090b7797f1ce5d13f828d4594","target":"graph","created_at":"2026-07-04T15:23:14Z","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/0103023/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Regularization of quantum field theories (QFT's) can be achieved by quantizing the underlying manifold (spacetime or spatial slice) thereby replacing it by a non-commutative matrix model or a ``fuzzy manifold''. Such discretization by quantization is remarkably successful in preserving symmetries and topological features, and altogether overcoming the fermion-doubling problem. In this paper, we report on our work on the ``fuzzification'' of the four-dimensional CP2 and its QFT's. CP2 is not spin, but spin${}_c$. Its Dirac operator has many unique features. They are explained and their fuzzy ve","authors_text":"A.P.Balachandran, B.Ydri, G.Alexanian, G.Immirzi","cross_cats":["gr-qc","hep-lat","math.QA"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2001-03-05T00:53:24Z","title":"Fuzzy CP2"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0103023","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:e8007c24356d73e3bf22f58fc2495d3db5dd66e50ddef4e6f76bf2f56c93c07b","target":"record","created_at":"2026-07-04T15:23:14Z","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":"a59470c6c1326e4ec1912442e16b57f93a43d435eb886df1b415b64b027d18f1","cross_cats_sorted":["gr-qc","hep-lat","math.QA"],"license":"","primary_cat":"hep-th","submitted_at":"2001-03-05T00:53:24Z","title_canon_sha256":"aea11af2de46c3e66b81ef3a65389ba21dcaf269059d8769f99b2608b13270db"},"schema_version":"1.0","source":{"id":"hep-th/0103023","kind":"arxiv","version":2}},"canonical_sha256":"c5d611cc02971198cfe607c41e32255aecfad4cc260c356c5f53f58e2d508ba7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c5d611cc02971198cfe607c41e32255aecfad4cc260c356c5f53f58e2d508ba7","first_computed_at":"2026-07-04T15:23:14.149029Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:23:14.149029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2bb1kgxWAk1rnO3qsgT/4dOmSJrzETyxwE5hd7bwfyJBvLlN5lNA6LFB3Ia1i8yLfETjTyZHhnihqQuBjtU8Dw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:23:14.149507Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0103023","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8007c24356d73e3bf22f58fc2495d3db5dd66e50ddef4e6f76bf2f56c93c07b","sha256:5db523d6c3dd2b2e786da4a789d7976803c9c65090b7797f1ce5d13f828d4594"],"state_sha256":"02c1db8517fbe6b51bf247b9248c3859f7df0a7196024dcb237835002d034a75"}