{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:4GS43DNU3ENVHVEUDC4KRLPMSP","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":"5a4161d1b67f05a32d29dc81b3406232b136ab2015266fc534509f5222553f59","cross_cats_sorted":["hep-th","math.QA","math.RT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2026-03-03T07:26:48Z","title_canon_sha256":"53ee610a663818a611ded92d5e407af332916e9474452c590630508bb010e764"},"schema_version":"1.0","source":{"id":"2603.03386","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.03386","created_at":"2026-06-09T02:07:22Z"},{"alias_kind":"arxiv_version","alias_value":"2603.03386v2","created_at":"2026-06-09T02:07:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.03386","created_at":"2026-06-09T02:07:22Z"},{"alias_kind":"pith_short_12","alias_value":"4GS43DNU3ENV","created_at":"2026-06-09T02:07:22Z"},{"alias_kind":"pith_short_16","alias_value":"4GS43DNU3ENVHVEU","created_at":"2026-06-09T02:07:22Z"},{"alias_kind":"pith_short_8","alias_value":"4GS43DNU","created_at":"2026-06-09T02:07:22Z"}],"graph_snapshots":[{"event_id":"sha256:5532166911667318dff1abcc3b020c25533cd33309ef6ccba686026a68ab56ef","target":"graph","created_at":"2026-06-09T02:07:22Z","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/2603.03386/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper provides the first algebraic characterization of an algebra of cohomological Hecke operators associated with modifications of coherent sheaves on a smooth surface $X$ along a fixed proper curve $Z \\subset X$ (possibly singular and reducible), establishing a direct connection with Yangians. It is based on the theory of equivariant nilpotent cohomological Hall algebras $\\mathbf{HA}^T_{X,Z}$, developed by the same authors.\n  More precisely, let $X$ be a resolution of a Kleinian singularity (for example, $X = T^\\ast\\mathbb{P}^1$) and let $Z$ be the exceptional divisor. One of the main r","authors_text":"Duiliu-Emanuel Diaconescu, Eric Vasserot, Francesco Sala, Mauro Porta, Olivier Schiffmann","cross_cats":["hep-th","math.QA","math.RT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2026-03-03T07:26:48Z","title":"Cohomological Hall algebras of one-dimensional sheaves on surfaces and Yangians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.03386","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":"sha256:35ba8fe13e34ce892f8c2d784d786e4460ac1525539972e606f2fe2e94ad3ec1","target":"record","created_at":"2026-06-09T02:07:22Z","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":"5a4161d1b67f05a32d29dc81b3406232b136ab2015266fc534509f5222553f59","cross_cats_sorted":["hep-th","math.QA","math.RT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2026-03-03T07:26:48Z","title_canon_sha256":"53ee610a663818a611ded92d5e407af332916e9474452c590630508bb010e764"},"schema_version":"1.0","source":{"id":"2603.03386","kind":"arxiv","version":2}},"canonical_sha256":"e1a5cd8db4d91b53d49418b8a8adec93e2fa9557df2f059cc9b68a97f23b2e7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1a5cd8db4d91b53d49418b8a8adec93e2fa9557df2f059cc9b68a97f23b2e7d","first_computed_at":"2026-06-09T02:07:22.977396Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T02:07:22.977396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ofGgU7dIMHNACvus5Mezx3uvlgxe4StWNTz7l6MzzuNYGkesi2Ue8LhZLm8CRD4xYQ+OCbi9qPsIzdRdQPb5BQ==","signature_status":"signed_v1","signed_at":"2026-06-09T02:07:22.978490Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.03386","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35ba8fe13e34ce892f8c2d784d786e4460ac1525539972e606f2fe2e94ad3ec1","sha256:5532166911667318dff1abcc3b020c25533cd33309ef6ccba686026a68ab56ef"],"state_sha256":"455cbb5dde3b21c2849ea87f530aac1f602ec6d7afc6a6dc7832d6e14d615e06"}