{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:MB6YOUZXM6CNTD3NGE4XJ7ZDAD","short_pith_number":"pith:MB6YOUZX","canonical_record":{"source":{"id":"hep-th/0407089","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-07-12T17:31:02Z","cross_cats_sorted":[],"title_canon_sha256":"9b11b5bf71cbc2647567bab133d390f6e806a04635047bc9eaf4fc6bd1db783c","abstract_canon_sha256":"d0d84372de411fba75185b03b5e8d14db12ffda66cdb7d98f104958d770708bd"},"schema_version":"1.0"},"canonical_sha256":"607d8753376784d98f6d313974ff2300c5705e6fae845de6481d687653733172","source":{"kind":"arxiv","id":"hep-th/0407089","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0407089","created_at":"2026-07-04T16:48:58Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0407089v1","created_at":"2026-07-04T16:48:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0407089","created_at":"2026-07-04T16:48:58Z"},{"alias_kind":"pith_short_12","alias_value":"MB6YOUZXM6CN","created_at":"2026-07-04T16:48:58Z"},{"alias_kind":"pith_short_16","alias_value":"MB6YOUZXM6CNTD3N","created_at":"2026-07-04T16:48:58Z"},{"alias_kind":"pith_short_8","alias_value":"MB6YOUZX","created_at":"2026-07-04T16:48:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:MB6YOUZXM6CNTD3NGE4XJ7ZDAD","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0407089","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-07-12T17:31:02Z","cross_cats_sorted":[],"title_canon_sha256":"9b11b5bf71cbc2647567bab133d390f6e806a04635047bc9eaf4fc6bd1db783c","abstract_canon_sha256":"d0d84372de411fba75185b03b5e8d14db12ffda66cdb7d98f104958d770708bd"},"schema_version":"1.0"},"canonical_sha256":"607d8753376784d98f6d313974ff2300c5705e6fae845de6481d687653733172","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:48:58.493111Z","signature_b64":"RKuzA+d24+8KaYyh2GigvXoI1/iZYdP8HQWz7wKr8XwPQJbRGyYwTHFQH5bKgxdPHJXg8uWG+gjzmDb7IQosAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"607d8753376784d98f6d313974ff2300c5705e6fae845de6481d687653733172","last_reissued_at":"2026-07-04T16:48:58.492768Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:48:58.492768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0407089","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:48:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ia1lA67DbfsqP0ayszzyNpy5z3OzwajQ0r7ADkWt34BSM0x7OASdPqklMM7IqmPqeVV59b2Qsr6i9aMUOhvnBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T03:12:38.655013Z"},"content_sha256":"b2ed1653edbafcff544ca6c5d97f5b68982a13d0456857e73b63d4891a28c8f4","schema_version":"1.0","event_id":"sha256:b2ed1653edbafcff544ca6c5d97f5b68982a13d0456857e73b63d4891a28c8f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:MB6YOUZXM6CNTD3NGE4XJ7ZDAD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite Gauge Theory on Fuzzy CP^2","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Harald Grosse, Harold Steinacker","submitted_at":"2004-07-12T17:31:02Z","abstract_excerpt":"We give a non-perturbative definition of U(n) gauge theory on fuzzy CP^2 as a multi-matrix model. The degrees of freedom are 8 hermitian matrices of finite size, 4 of which are tangential gauge fields and 4 are auxiliary variables. The model depends on a noncommutativity parameter 1/N, and reduces to the usual U(n) Yang-Mills action on the 4-dimensional classical CP^2 in the limit N -> \\infty. We explicitly find the monopole solutions, and also certain U(2) instanton solutions for finite N. The quantization of the model is defined in terms of a path integral, which is manifestly finite. An alt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0407089","kind":"arxiv","version":1},"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/0407089/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":"2026-07-04T16:48:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bJKEFX0D4PHu1lYtlQL366KigzKlsDvjDTN06sBmLYXomruybn3F//VlkdY+skOwUol5MzLCP5nnq1BKn2WfAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T03:12:38.655564Z"},"content_sha256":"eb6e898d8cd0dacc9fbb8851efd128af8c65a7367fc27acd783b73fdd4da03ae","schema_version":"1.0","event_id":"sha256:eb6e898d8cd0dacc9fbb8851efd128af8c65a7367fc27acd783b73fdd4da03ae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MB6YOUZXM6CNTD3NGE4XJ7ZDAD/bundle.json","state_url":"https://pith.science/pith/MB6YOUZXM6CNTD3NGE4XJ7ZDAD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MB6YOUZXM6CNTD3NGE4XJ7ZDAD/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":"2026-08-12T03:12:38Z","links":{"resolver":"https://pith.science/pith/MB6YOUZXM6CNTD3NGE4XJ7ZDAD","bundle":"https://pith.science/pith/MB6YOUZXM6CNTD3NGE4XJ7ZDAD/bundle.json","state":"https://pith.science/pith/MB6YOUZXM6CNTD3NGE4XJ7ZDAD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MB6YOUZXM6CNTD3NGE4XJ7ZDAD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:MB6YOUZXM6CNTD3NGE4XJ7ZDAD","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":"d0d84372de411fba75185b03b5e8d14db12ffda66cdb7d98f104958d770708bd","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-07-12T17:31:02Z","title_canon_sha256":"9b11b5bf71cbc2647567bab133d390f6e806a04635047bc9eaf4fc6bd1db783c"},"schema_version":"1.0","source":{"id":"hep-th/0407089","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0407089","created_at":"2026-07-04T16:48:58Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0407089v1","created_at":"2026-07-04T16:48:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0407089","created_at":"2026-07-04T16:48:58Z"},{"alias_kind":"pith_short_12","alias_value":"MB6YOUZXM6CN","created_at":"2026-07-04T16:48:58Z"},{"alias_kind":"pith_short_16","alias_value":"MB6YOUZXM6CNTD3N","created_at":"2026-07-04T16:48:58Z"},{"alias_kind":"pith_short_8","alias_value":"MB6YOUZX","created_at":"2026-07-04T16:48:58Z"}],"graph_snapshots":[{"event_id":"sha256:eb6e898d8cd0dacc9fbb8851efd128af8c65a7367fc27acd783b73fdd4da03ae","target":"graph","created_at":"2026-07-04T16:48:58Z","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/0407089/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give a non-perturbative definition of U(n) gauge theory on fuzzy CP^2 as a multi-matrix model. The degrees of freedom are 8 hermitian matrices of finite size, 4 of which are tangential gauge fields and 4 are auxiliary variables. The model depends on a noncommutativity parameter 1/N, and reduces to the usual U(n) Yang-Mills action on the 4-dimensional classical CP^2 in the limit N -> \\infty. We explicitly find the monopole solutions, and also certain U(2) instanton solutions for finite N. The quantization of the model is defined in terms of a path integral, which is manifestly finite. An alt","authors_text":"Harald Grosse, Harold Steinacker","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-07-12T17:31:02Z","title":"Finite Gauge Theory on Fuzzy CP^2"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0407089","kind":"arxiv","version":1},"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:b2ed1653edbafcff544ca6c5d97f5b68982a13d0456857e73b63d4891a28c8f4","target":"record","created_at":"2026-07-04T16:48:58Z","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":"d0d84372de411fba75185b03b5e8d14db12ffda66cdb7d98f104958d770708bd","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-07-12T17:31:02Z","title_canon_sha256":"9b11b5bf71cbc2647567bab133d390f6e806a04635047bc9eaf4fc6bd1db783c"},"schema_version":"1.0","source":{"id":"hep-th/0407089","kind":"arxiv","version":1}},"canonical_sha256":"607d8753376784d98f6d313974ff2300c5705e6fae845de6481d687653733172","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"607d8753376784d98f6d313974ff2300c5705e6fae845de6481d687653733172","first_computed_at":"2026-07-04T16:48:58.492768Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:48:58.492768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RKuzA+d24+8KaYyh2GigvXoI1/iZYdP8HQWz7wKr8XwPQJbRGyYwTHFQH5bKgxdPHJXg8uWG+gjzmDb7IQosAA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:48:58.493111Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0407089","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2ed1653edbafcff544ca6c5d97f5b68982a13d0456857e73b63d4891a28c8f4","sha256:eb6e898d8cd0dacc9fbb8851efd128af8c65a7367fc27acd783b73fdd4da03ae"],"state_sha256":"1e5d513bafb489c763bdecc0143f224285d58941264cb3e61f12957517f477fd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2Bhm+fkmw6501G432iW77PHYmx+MGBnmp99ndxtuu+nMC/MKwpe73qdFCu7HIZAXWNPLhDKj5qhGeQM5fmSrCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T03:12:38.661010Z","bundle_sha256":"c2f201fcab418274670671e4e55bd0baf57e8f69388c815f34b4fe7df9bf5cce"}}