{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:T2N5BCHS5YPVO6E2ONGPUGTYYL","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":"37bdd289afaa088638fdfa9451148aba0958a4e5d32b9b3cd9b529865c649b9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-08T09:47:47Z","title_canon_sha256":"678c269f82ceb415ea6f1a4067f56f8efd3c45626cee24ef731a1b82dd5047a8"},"schema_version":"1.0","source":{"id":"1506.02421","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.02421","created_at":"2026-05-18T01:20:36Z"},{"alias_kind":"arxiv_version","alias_value":"1506.02421v3","created_at":"2026-05-18T01:20:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02421","created_at":"2026-05-18T01:20:36Z"},{"alias_kind":"pith_short_12","alias_value":"T2N5BCHS5YPV","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"T2N5BCHS5YPVO6E2","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"T2N5BCHS","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:c846d8a31bd8f4203879ab16545ee3ceaf3ed9105f9c8d0b27f103ea3850b52a","target":"graph","created_at":"2026-05-18T01:20:36Z","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 present the irregular matrix model which has contains $\\mathcal{W}_3$ and Virasoro symmetry. The irregular matrix model is obtained using the colliding limit of the Toda field theories and produces the inner product between irregular modules of $\\mathcal{W}_3$ symmetry. We evaluate the partition function using the flow equation which is the realization of the Virasoro and $\\mathcal{W}$-symmetry.","authors_text":"Chaiho Rim, Sang Kwan Choi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-08T09:47:47Z","title":"Irregular matrix model with $\\mathcal W$ symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02421","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:ec8abde98232dfba136cdf0456d9fc79245f59b4efa69442dfd7aeb54e630a20","target":"record","created_at":"2026-05-18T01:20:36Z","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":"37bdd289afaa088638fdfa9451148aba0958a4e5d32b9b3cd9b529865c649b9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-08T09:47:47Z","title_canon_sha256":"678c269f82ceb415ea6f1a4067f56f8efd3c45626cee24ef731a1b82dd5047a8"},"schema_version":"1.0","source":{"id":"1506.02421","kind":"arxiv","version":3}},"canonical_sha256":"9e9bd088f2ee1f57789a734cfa1a78c2fcd1cc22b06c3e3e755e2e3704a85dc4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e9bd088f2ee1f57789a734cfa1a78c2fcd1cc22b06c3e3e755e2e3704a85dc4","first_computed_at":"2026-05-18T01:20:36.451296Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:36.451296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dapGQlXljgvecODktubiNUI1XrhBPsxveun+8EnGljIORqe89KGjiw9VqnRNyeJfMeWY1lFzByhR1WaZLmY0Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:36.451790Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.02421","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec8abde98232dfba136cdf0456d9fc79245f59b4efa69442dfd7aeb54e630a20","sha256:c846d8a31bd8f4203879ab16545ee3ceaf3ed9105f9c8d0b27f103ea3850b52a"],"state_sha256":"16e17539d259fd56489f913e9e9b7e479d33a3b8e39fe9b99c13d74a3e33eba5"}