{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:W6XI7VVXGKTYSWUAPFIIJZ2UZI","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":"3a2e8640a312e5eede544512368b5637d05f19c5c21a62832f6beaf174a6ef80","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2007-11-08T20:15:16Z","title_canon_sha256":"4c26fd9883b4678a7dce5228a12db9b2a2148c5aa95343edc7d5caa461c154b0"},"schema_version":"1.0","source":{"id":"0711.1347","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.1347","created_at":"2026-07-04T15:23:43Z"},{"alias_kind":"arxiv_version","alias_value":"0711.1347v3","created_at":"2026-07-04T15:23:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.1347","created_at":"2026-07-04T15:23:43Z"},{"alias_kind":"pith_short_12","alias_value":"W6XI7VVXGKTY","created_at":"2026-07-04T15:23:43Z"},{"alias_kind":"pith_short_16","alias_value":"W6XI7VVXGKTYSWUA","created_at":"2026-07-04T15:23:43Z"},{"alias_kind":"pith_short_8","alias_value":"W6XI7VVX","created_at":"2026-07-04T15:23:43Z"}],"graph_snapshots":[{"event_id":"sha256:8712a8bc179d756d4634263f664287a91b9e25d312cc4b15d3f95bf5552f5004","target":"graph","created_at":"2026-07-04T15:23:43Z","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/0711.1347/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a universal Dirac operator for noncommutative spin and spin^c bundles over fuzzy complex projective spaces. We give an explicit construction of these bundles, which are described in terms of finite dimensional matrices, calculate the spectrum and explicitly exhibit the Dirac eigenspinors. To our knowledge the spin^c spectrum for CP^n with n>=3 is new.","authors_text":"Brian P. Dolan, Denjoe O'Connor, Idrish Huet, Sean Murray","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2007-11-08T20:15:16Z","title":"A universal Dirac operator and noncommutative spin bundles over fuzzy complex projective spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.1347","kind":"arxiv","version":3},"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":"sha256:46409ed4c88e5ed186392f4eaccb781ed702360b2e6e93bef498e3523226a552","target":"record","created_at":"2026-07-04T15:23:43Z","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":"3a2e8640a312e5eede544512368b5637d05f19c5c21a62832f6beaf174a6ef80","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2007-11-08T20:15:16Z","title_canon_sha256":"4c26fd9883b4678a7dce5228a12db9b2a2148c5aa95343edc7d5caa461c154b0"},"schema_version":"1.0","source":{"id":"0711.1347","kind":"arxiv","version":3}},"canonical_sha256":"b7ae8fd6b732a7895a80795084e754ca35624cf5aa763d3bb515e6e861d923b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7ae8fd6b732a7895a80795084e754ca35624cf5aa763d3bb515e6e861d923b4","first_computed_at":"2026-07-04T15:23:43.382983Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:23:43.382983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5nx3MXSPoKOCVFk7WJcfkGU5w/XIv/bttJhbcRfPSQIDsufRoKCzNKmXFJRveR2swDd4aL1oyBJUo1ZQH/8WAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:23:43.383470Z","signed_message":"canonical_sha256_bytes"},"source_id":"0711.1347","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46409ed4c88e5ed186392f4eaccb781ed702360b2e6e93bef498e3523226a552","sha256:8712a8bc179d756d4634263f664287a91b9e25d312cc4b15d3f95bf5552f5004"],"state_sha256":"37d8e0d68b25d12fa8dc6fa60ae924e5a1797daf530523200354af58b7826982"}