{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:YF24HAGIYO5Y2FU2A4B3BUQ5KW","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":"8c48204e839de907c87e05264fde0595d7e3feb99ff623e2f0839da151b701d8","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-28T09:36:39Z","title_canon_sha256":"5d46063576a67f8753ec3582b148fd8c0f6663ccab0eec56d5aa58b06a8af2d5"},"schema_version":"1.0","source":{"id":"2607.25500","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.25500","created_at":"2026-07-29T01:25:18Z"},{"alias_kind":"arxiv_version","alias_value":"2607.25500v1","created_at":"2026-07-29T01:25:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.25500","created_at":"2026-07-29T01:25:18Z"},{"alias_kind":"pith_short_12","alias_value":"YF24HAGIYO5Y","created_at":"2026-07-29T01:25:18Z"},{"alias_kind":"pith_short_16","alias_value":"YF24HAGIYO5Y2FU2","created_at":"2026-07-29T01:25:18Z"},{"alias_kind":"pith_short_8","alias_value":"YF24HAGI","created_at":"2026-07-29T01:25:18Z"}],"graph_snapshots":[{"event_id":"sha256:04f2d9f410bbf2d22f9979ddfdadeded0fb89a7d23ffa11b31dc778d072e0a5f","target":"graph","created_at":"2026-07-29T01:25:18Z","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/2607.25500/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Inspired by matrix techniques in quantum field theory and string theory, we review Permutation Invariant Gaussian Matrix Models (PIGMM), which replace the continuous symmetries of traditional Random Matrix Theory, for $ N \\times N$ matrices, with finite permutation symmetry, $S_N$. This symmetry-driven approach reduces highly multivariate $N^2$-variable matrix data analysis problems to a rich but tractable space of parameters. The representation theory of $S_N$ brings a highly correlated quadratic matrix action to a near-diagonal form with $13$ parameters. The invariant observables are paramet","authors_text":"Sanjaye Ramgoolam","cross_cats":["hep-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-28T09:36:39Z","title":"String theory mathematics and matrix data analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.25500","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:eed88c537e175392110d43e961d7b22e7af7fc85b0dcc8aad6c4e5265b371beb","target":"record","created_at":"2026-07-29T01:25:18Z","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":"8c48204e839de907c87e05264fde0595d7e3feb99ff623e2f0839da151b701d8","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-28T09:36:39Z","title_canon_sha256":"5d46063576a67f8753ec3582b148fd8c0f6663ccab0eec56d5aa58b06a8af2d5"},"schema_version":"1.0","source":{"id":"2607.25500","kind":"arxiv","version":1}},"canonical_sha256":"c175c380c8c3bb8d169a0703b0d21d55bcd20b36e12859316364cab52decfb1c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c175c380c8c3bb8d169a0703b0d21d55bcd20b36e12859316364cab52decfb1c","first_computed_at":"2026-07-29T01:25:18.478576Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-29T01:25:18.478576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oMwV4337148EoFEQpRVgk2G3Y7a9C+k8sZ8TLO1aHMy4FEYgtKXLXl6LkdGkqYcUFqycBBA+ouacmLa1mMlnAA==","signature_status":"signed_v1","signed_at":"2026-07-29T01:25:18.479457Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.25500","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eed88c537e175392110d43e961d7b22e7af7fc85b0dcc8aad6c4e5265b371beb","sha256:04f2d9f410bbf2d22f9979ddfdadeded0fb89a7d23ffa11b31dc778d072e0a5f"],"state_sha256":"db02582e6e0cfa9e3558961177c7aa61fe14ffc4f66169c9fee359d8f443e857"}