{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:RP644ML6O5VAF7T2U55WQUZFER","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":"62c610721a6cfcf900236a3492ee2e340238037c8e49ea3060d9e96b134dd107","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-17T07:29:55Z","title_canon_sha256":"0570687c79c50f375113810333a159c30f190a54fac9118b1ab83c189ebd82b5"},"schema_version":"1.0","source":{"id":"2606.18768","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.18768","created_at":"2026-06-19T16:12:06Z"},{"alias_kind":"arxiv_version","alias_value":"2606.18768v1","created_at":"2026-06-19T16:12:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.18768","created_at":"2026-06-19T16:12:06Z"},{"alias_kind":"pith_short_12","alias_value":"RP644ML6O5VA","created_at":"2026-06-19T16:12:06Z"},{"alias_kind":"pith_short_16","alias_value":"RP644ML6O5VAF7T2","created_at":"2026-06-19T16:12:06Z"},{"alias_kind":"pith_short_8","alias_value":"RP644ML6","created_at":"2026-06-19T16:12:06Z"}],"graph_snapshots":[{"event_id":"sha256:52258e389d5f5d5cfec5dc56306d0b2e94efba8e189807515ab3326eae8d67ae","target":"graph","created_at":"2026-06-19T16:12:06Z","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/2606.18768/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $f:X\\to S$ be a smooth proper family of smooth projective varieties, and let $\\sigma_{\\mathrm{Dol}}:\\,S \\to M_{\\mathrm{Dol}}(X/S)$ be the real analytic family of Higgs bundles obtained from an isomonodromic deformation via the relative non-abelian Hodge correspondence. We study the interaction between isomonodromic deformation and the natural $\\mathbb C^*$-action on Dolbeault moduli spaces. For $\\lambda\\in S^1$, we prove that, on any complex analytic subvariety $U\\subset S$, the rescaled family $\\lambda\\cdot\\sigma_{\\mathrm{Dol}}|_U$ is again isomonodromic if $\\sigma_{\\mathrm{Dol}}|_U$ is h","authors_text":"Jinbang Yang, Kang Zuo, Ruiran Sun, Tianzhi Hu","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-17T07:29:55Z","title":"Isomonodromic deformations, $\\mathbb C^*$-actions, and characterization of non-abelian Noether-Lefschetz loci on Dolbeault moduli spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.18768","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:d28c9012546e0c0674917cfb66efa0c02a745141304bdb3dc1cefcba17e53c73","target":"record","created_at":"2026-06-19T16:12:06Z","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":"62c610721a6cfcf900236a3492ee2e340238037c8e49ea3060d9e96b134dd107","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-17T07:29:55Z","title_canon_sha256":"0570687c79c50f375113810333a159c30f190a54fac9118b1ab83c189ebd82b5"},"schema_version":"1.0","source":{"id":"2606.18768","kind":"arxiv","version":1}},"canonical_sha256":"8bfdce317e776a02fe7aa77b6853252447b4ba7d6548993fd174ce80536bfa10","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8bfdce317e776a02fe7aa77b6853252447b4ba7d6548993fd174ce80536bfa10","first_computed_at":"2026-06-19T16:12:06.924466Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:12:06.924466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yy3L9L+23qk6homQDR8SJYemZlOP3pNqOKv3pD4MGRXuaYdGGWCtJviMBmzU16PIeaIPvV70H3T18v/STCO6DQ==","signature_status":"signed_v1","signed_at":"2026-06-19T16:12:06.924812Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.18768","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d28c9012546e0c0674917cfb66efa0c02a745141304bdb3dc1cefcba17e53c73","sha256:52258e389d5f5d5cfec5dc56306d0b2e94efba8e189807515ab3326eae8d67ae"],"state_sha256":"c872539c9a39af2488d8f123e269e14c104df152934ed07052d875288f64e398"}