{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:H3WM3YDYH3JCIS3WNCHBYZCRWX","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":"82894d1b105655583b6a5745198108174d93fd4f558993876bf03f8c373607b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-02-16T20:20:59Z","title_canon_sha256":"1105a4757ed1bbd1d4e78932f937ce0395ba2c0a56f015ba38e795639505678f"},"schema_version":"1.0","source":{"id":"0902.2627","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0902.2627","created_at":"2026-07-04T15:41:55Z"},{"alias_kind":"arxiv_version","alias_value":"0902.2627v3","created_at":"2026-07-04T15:41:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.2627","created_at":"2026-07-04T15:41:55Z"},{"alias_kind":"pith_short_12","alias_value":"H3WM3YDYH3JC","created_at":"2026-07-04T15:41:55Z"},{"alias_kind":"pith_short_16","alias_value":"H3WM3YDYH3JCIS3W","created_at":"2026-07-04T15:41:55Z"},{"alias_kind":"pith_short_8","alias_value":"H3WM3YDY","created_at":"2026-07-04T15:41:55Z"}],"graph_snapshots":[{"event_id":"sha256:198367bcb88a4dfaad552fa91f1cffc88132999ecaba4880b77abe46c8abb5bd","target":"graph","created_at":"2026-07-04T15:41:55Z","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/0902.2627/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that partition functions of various matrix models can be obtained by acting on elementary functions with exponents of W-operators. A number of illustrations is given, including the Gaussian Hermitian matrix model, Hermitian model in external field and the Hurwitz-Kontsevitch model, for which we suggest an elegant matrix-model representation. In all these examples, the relevant W-operators belong to the W_3-algebra.","authors_text":"A.Morozov, Sh.Shakirov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-02-16T20:20:59Z","title":"Generation of Matrix Models by W-operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.2627","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":"sha256:7c022010fbf53229fc292dc83d8ac98ac3007f8a108228fcc8df127c45466722","target":"record","created_at":"2026-07-04T15:41:55Z","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":"82894d1b105655583b6a5745198108174d93fd4f558993876bf03f8c373607b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-02-16T20:20:59Z","title_canon_sha256":"1105a4757ed1bbd1d4e78932f937ce0395ba2c0a56f015ba38e795639505678f"},"schema_version":"1.0","source":{"id":"0902.2627","kind":"arxiv","version":3}},"canonical_sha256":"3eeccde0783ed2244b76688e1c6451b5c6840994dd99bfb9ce7ae6209081691f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3eeccde0783ed2244b76688e1c6451b5c6840994dd99bfb9ce7ae6209081691f","first_computed_at":"2026-07-04T15:41:55.519743Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:41:55.519743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iLlLKfuxRhNYXecc8ljb1i+JflAYIAtgdxwiz0W7zhN2JfI+a+lNfBxUu/WFVZMJ/RsxWhiLhJov3pzbNVh/Ag==","signature_status":"signed_v1","signed_at":"2026-07-04T15:41:55.520080Z","signed_message":"canonical_sha256_bytes"},"source_id":"0902.2627","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c022010fbf53229fc292dc83d8ac98ac3007f8a108228fcc8df127c45466722","sha256:198367bcb88a4dfaad552fa91f1cffc88132999ecaba4880b77abe46c8abb5bd"],"state_sha256":"672322f4f046dfad44d9d75cc8f3fa9e87fc88d54a6c50c408691632a8ccda4c"}