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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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2606.18768","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-17T07:29:55Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"0570687c79c50f375113810333a159c30f190a54fac9118b1ab83c189ebd82b5","abstract_canon_sha256":"62c610721a6cfcf900236a3492ee2e340238037c8e49ea3060d9e96b134dd107"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:12:06.924812Z","signature_b64":"Yy3L9L+23qk6homQDR8SJYemZlOP3pNqOKv3pD4MGRXuaYdGGWCtJviMBmzU16PIeaIPvV70H3T18v/STCO6DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8bfdce317e776a02fe7aa77b6853252447b4ba7d6548993fd174ce80536bfa10","last_reissued_at":"2026-06-19T16:12:06.924466Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:12:06.924466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Isomonodromic deformations, $\\mathbb C^*$-actions, and characterization of non-abelian Noether-Lefschetz loci on Dolbeault moduli spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"Jinbang Yang, Kang Zuo, Ruiran Sun, Tianzhi Hu","submitted_at":"2026-06-17T07:29:55Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.18768","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.18768/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.18768","created_at":"2026-06-19T16:12:06.924525+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.18768v1","created_at":"2026-06-19T16:12:06.924525+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.18768","created_at":"2026-06-19T16:12:06.924525+00:00"},{"alias_kind":"pith_short_12","alias_value":"RP644ML6O5VA","created_at":"2026-06-19T16:12:06.924525+00:00"},{"alias_kind":"pith_short_16","alias_value":"RP644ML6O5VAF7T2","created_at":"2026-06-19T16:12:06.924525+00:00"},{"alias_kind":"pith_short_8","alias_value":"RP644ML6","created_at":"2026-06-19T16:12:06.924525+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RP644ML6O5VAF7T2U55WQUZFER","json":"https://pith.science/pith/RP644ML6O5VAF7T2U55WQUZFER.json","graph_json":"https://pith.science/api/pith-number/RP644ML6O5VAF7T2U55WQUZFER/graph.json","events_json":"https://pith.science/api/pith-number/RP644ML6O5VAF7T2U55WQUZFER/events.json","paper":"https://pith.science/paper/RP644ML6"},"agent_actions":{"view_html":"https://pith.science/pith/RP644ML6O5VAF7T2U55WQUZFER","download_json":"https://pith.science/pith/RP644ML6O5VAF7T2U55WQUZFER.json","view_paper":"https://pith.science/paper/RP644ML6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.18768&json=true","fetch_graph":"https://pith.science/api/pith-number/RP644ML6O5VAF7T2U55WQUZFER/graph.json","fetch_events":"https://pith.science/api/pith-number/RP644ML6O5VAF7T2U55WQUZFER/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RP644ML6O5VAF7T2U55WQUZFER/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RP644ML6O5VAF7T2U55WQUZFER/action/storage_attestation","attest_author":"https://pith.science/pith/RP644ML6O5VAF7T2U55WQUZFER/action/author_attestation","sign_citation":"https://pith.science/pith/RP644ML6O5VAF7T2U55WQUZFER/action/citation_signature","submit_replication":"https://pith.science/pith/RP644ML6O5VAF7T2U55WQUZFER/action/replication_record"}},"created_at":"2026-06-19T16:12:06.924525+00:00","updated_at":"2026-06-19T16:12:06.924525+00:00"}