{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:5EHHSSQITNN4EGF736PCDCS6D6","short_pith_number":"pith:5EHHSSQI","canonical_record":{"source":{"id":"1212.4818","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-19T20:26:56Z","cross_cats_sorted":[],"title_canon_sha256":"dd42ad8e1c6eb1cfd2641d2dde395d5dadf6ae6a2ac202ad7b9130cd63b2159c","abstract_canon_sha256":"788ea82ce46c86f0e9caa3d7d3bfad6b633a1271e9455a7fc66de79621712605"},"schema_version":"1.0"},"canonical_sha256":"e90e794a089b5bc218bfdf9e218a5e1f9d6421ee9e1284d337786cac1713c095","source":{"kind":"arxiv","id":"1212.4818","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4818","created_at":"2026-05-18T03:26:42Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4818v2","created_at":"2026-05-18T03:26:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4818","created_at":"2026-05-18T03:26:42Z"},{"alias_kind":"pith_short_12","alias_value":"5EHHSSQITNN4","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"5EHHSSQITNN4EGF7","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"5EHHSSQI","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:5EHHSSQITNN4EGF736PCDCS6D6","target":"record","payload":{"canonical_record":{"source":{"id":"1212.4818","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-19T20:26:56Z","cross_cats_sorted":[],"title_canon_sha256":"dd42ad8e1c6eb1cfd2641d2dde395d5dadf6ae6a2ac202ad7b9130cd63b2159c","abstract_canon_sha256":"788ea82ce46c86f0e9caa3d7d3bfad6b633a1271e9455a7fc66de79621712605"},"schema_version":"1.0"},"canonical_sha256":"e90e794a089b5bc218bfdf9e218a5e1f9d6421ee9e1284d337786cac1713c095","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:26:42.630157Z","signature_b64":"ho/RV2R0XW/xqT2/QJNlPLOd56kvRWMF3IhUqZTGyXrjh3BZkl77JEGf+kqmbCjAkzVvzoi6iuqd0eVtjk28AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e90e794a089b5bc218bfdf9e218a5e1f9d6421ee9e1284d337786cac1713c095","last_reissued_at":"2026-05-18T03:26:42.629586Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:26:42.629586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.4818","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":"2026-05-18T03:26:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ywh5Hsx5awmrTscDWQ/dUKRcyBwR5JCDATn4wyBwudker/GeswleatiNPKF7QS5MK+lL/Zvh1CXASLg18B+yCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T06:08:13.677281Z"},"content_sha256":"e7f2a3581192139c17950af25fda3f4922ac34419d0b5de74bd83730251560c2","schema_version":"1.0","event_id":"sha256:e7f2a3581192139c17950af25fda3f4922ac34419d0b5de74bd83730251560c2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:5EHHSSQITNN4EGF736PCDCS6D6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Near commuting multi-matrix models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Denjoe O'Connor, Veselin G. Filev","submitted_at":"2012-12-19T20:26:56Z","abstract_excerpt":"We investigate the radial extent of the eigenvalue distribution for Yang-Mills type matrix models. We show that, a three matrix Gaussian model with complex Myers coupling, to leading order in strong coupling is described by commuting matrices whose joint eigenvalue distribution is uniform and confined to a ball of radius R=(3Pi/2g)^(1/3). We then study, perturbatively, a 3-component model with a pure commutator action and find a radial extent broadly consistent with numerical simulations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4818","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":""},"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":"2026-05-18T03:26:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2juH/WjcC/eoeaRbcHdksh6GWzQdk8hjtysj0qbUBxc7Fqxk147SkjnDywoWhZgnpJx4EFuSgqKfHHJqg/KrCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T06:08:13.677855Z"},"content_sha256":"8e6a20c6c1ecc1613cf2982c59104a50d26458ee62431c48ba68d0e4acdfd9e1","schema_version":"1.0","event_id":"sha256:8e6a20c6c1ecc1613cf2982c59104a50d26458ee62431c48ba68d0e4acdfd9e1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5EHHSSQITNN4EGF736PCDCS6D6/bundle.json","state_url":"https://pith.science/pith/5EHHSSQITNN4EGF736PCDCS6D6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5EHHSSQITNN4EGF736PCDCS6D6/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":"2026-06-05T06:08:13Z","links":{"resolver":"https://pith.science/pith/5EHHSSQITNN4EGF736PCDCS6D6","bundle":"https://pith.science/pith/5EHHSSQITNN4EGF736PCDCS6D6/bundle.json","state":"https://pith.science/pith/5EHHSSQITNN4EGF736PCDCS6D6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5EHHSSQITNN4EGF736PCDCS6D6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:5EHHSSQITNN4EGF736PCDCS6D6","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":"788ea82ce46c86f0e9caa3d7d3bfad6b633a1271e9455a7fc66de79621712605","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-19T20:26:56Z","title_canon_sha256":"dd42ad8e1c6eb1cfd2641d2dde395d5dadf6ae6a2ac202ad7b9130cd63b2159c"},"schema_version":"1.0","source":{"id":"1212.4818","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4818","created_at":"2026-05-18T03:26:42Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4818v2","created_at":"2026-05-18T03:26:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4818","created_at":"2026-05-18T03:26:42Z"},{"alias_kind":"pith_short_12","alias_value":"5EHHSSQITNN4","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"5EHHSSQITNN4EGF7","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"5EHHSSQI","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:8e6a20c6c1ecc1613cf2982c59104a50d26458ee62431c48ba68d0e4acdfd9e1","target":"graph","created_at":"2026-05-18T03:26:42Z","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"},"paper":{"abstract_excerpt":"We investigate the radial extent of the eigenvalue distribution for Yang-Mills type matrix models. We show that, a three matrix Gaussian model with complex Myers coupling, to leading order in strong coupling is described by commuting matrices whose joint eigenvalue distribution is uniform and confined to a ball of radius R=(3Pi/2g)^(1/3). We then study, perturbatively, a 3-component model with a pure commutator action and find a radial extent broadly consistent with numerical simulations.","authors_text":"Denjoe O'Connor, Veselin G. Filev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-19T20:26:56Z","title":"Near commuting multi-matrix models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4818","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:e7f2a3581192139c17950af25fda3f4922ac34419d0b5de74bd83730251560c2","target":"record","created_at":"2026-05-18T03:26:42Z","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":"788ea82ce46c86f0e9caa3d7d3bfad6b633a1271e9455a7fc66de79621712605","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-19T20:26:56Z","title_canon_sha256":"dd42ad8e1c6eb1cfd2641d2dde395d5dadf6ae6a2ac202ad7b9130cd63b2159c"},"schema_version":"1.0","source":{"id":"1212.4818","kind":"arxiv","version":2}},"canonical_sha256":"e90e794a089b5bc218bfdf9e218a5e1f9d6421ee9e1284d337786cac1713c095","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e90e794a089b5bc218bfdf9e218a5e1f9d6421ee9e1284d337786cac1713c095","first_computed_at":"2026-05-18T03:26:42.629586Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:42.629586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ho/RV2R0XW/xqT2/QJNlPLOd56kvRWMF3IhUqZTGyXrjh3BZkl77JEGf+kqmbCjAkzVvzoi6iuqd0eVtjk28AA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:42.630157Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.4818","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7f2a3581192139c17950af25fda3f4922ac34419d0b5de74bd83730251560c2","sha256:8e6a20c6c1ecc1613cf2982c59104a50d26458ee62431c48ba68d0e4acdfd9e1"],"state_sha256":"0d8927053229fd74f1516377a62e39a3c2b90cb6eb925792a227ccb2fc9e8a19"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ShLWTJa0eQPln/scRXUuqtvmmN/IBqbBEqdjLXL0I84prtJog1M8dvGJUaI/rPyjEc66tekvag+2mizzX+hxAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T06:08:13.681139Z","bundle_sha256":"f6152c8d1ab2649241d844c529262d54dc65a6414d76a8859267b615a25757e7"}}