{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:R76L436R5JCFMCDRYSOGIYN5XE","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":"20762d990b089df0f367776ccd3b3f10452923787afa1493512091f95121c734","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-03-09T14:12:10Z","title_canon_sha256":"9a7dc9c562f8477333e3a64d7e37bcc0f5adba9f92333608e7a81e65bd0ea771"},"schema_version":"1.0","source":{"id":"2303.05273","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.05273","created_at":"2026-07-05T06:13:19Z"},{"alias_kind":"arxiv_version","alias_value":"2303.05273v1","created_at":"2026-07-05T06:13:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.05273","created_at":"2026-07-05T06:13:19Z"},{"alias_kind":"pith_short_12","alias_value":"R76L436R5JCF","created_at":"2026-07-05T06:13:19Z"},{"alias_kind":"pith_short_16","alias_value":"R76L436R5JCFMCDR","created_at":"2026-07-05T06:13:19Z"},{"alias_kind":"pith_short_8","alias_value":"R76L436R","created_at":"2026-07-05T06:13:19Z"}],"graph_snapshots":[{"event_id":"sha256:e3096027d148520864ca86a24741f885769310e5951cb851292f26e30e26f167","target":"graph","created_at":"2026-07-05T06:13:19Z","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/2303.05273/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We provide some details about the recently discovered integrable systems implied by commutativity of $W$ operators along the rays on the plane of roots of $w_\\infty$-algebra. The simplest system of this type is the rational Calogero model, other systems escaped attention in the past. Existence of these systems is intimately tied to the very interesting WLZZ matrix models, which are now under intensive study.","authors_text":"A. Mironov, A. Morozov","cross_cats":["math-ph","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-03-09T14:12:10Z","title":"Many-body integrable systems implied by WLZZ models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.05273","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":"sha256:3110da0a3949dfb4289266e1caf23a25a9c6cd68c22b693f0b7642fa06e8c167","target":"record","created_at":"2026-07-05T06:13:19Z","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":"20762d990b089df0f367776ccd3b3f10452923787afa1493512091f95121c734","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-03-09T14:12:10Z","title_canon_sha256":"9a7dc9c562f8477333e3a64d7e37bcc0f5adba9f92333608e7a81e65bd0ea771"},"schema_version":"1.0","source":{"id":"2303.05273","kind":"arxiv","version":1}},"canonical_sha256":"8ffcbe6fd1ea44560871c49c6461bdb9352cff14ae3b8034b7fe7fd265622783","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ffcbe6fd1ea44560871c49c6461bdb9352cff14ae3b8034b7fe7fd265622783","first_computed_at":"2026-07-05T06:13:19.768561Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:13:19.768561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aAT5rx9Ca9gjSo4LdtU0mc9h7y9B6CEryqqiUskbCuYsfD0l46bONOf0uvalKaq+W0faONhKO7bCHdRNVhisBg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:13:19.769025Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.05273","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3110da0a3949dfb4289266e1caf23a25a9c6cd68c22b693f0b7642fa06e8c167","sha256:e3096027d148520864ca86a24741f885769310e5951cb851292f26e30e26f167"],"state_sha256":"7950fb37aa7931dbe35b9147891c61e108e779722baa5a50df96322c82cee1d5"}