{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:7GTHA6XA7S27ISNJRRY56SX2OO","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":"8be8ef73ed01e6cf6b1e6906bc5614c56e787d38fd9a2529d17334009437fd8c","cross_cats_sorted":["math.DG"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2018-09-17T05:07:41Z","title_canon_sha256":"ce18d92095b2021aa0c7e2a60e339d97aba8fdb713fe2ed50e7a80be8c0f31a6"},"schema_version":"1.0","source":{"id":"1809.06021","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.06021","created_at":"2026-05-17T23:50:02Z"},{"alias_kind":"arxiv_version","alias_value":"1809.06021v3","created_at":"2026-05-17T23:50:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.06021","created_at":"2026-05-17T23:50:02Z"},{"alias_kind":"pith_short_12","alias_value":"7GTHA6XA7S27","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7GTHA6XA7S27ISNJ","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7GTHA6XA","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:1e75b19e0757c0b70e70152e2514c6718fc9fe2c03f043b6b69f199da1c342d3","target":"graph","created_at":"2026-05-17T23:50:02Z","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":"This is a review article on some applications of generalised parabolic structures to the study of torsion free sheaves and $L$-twisted Hitchin pairs on nodal curves. In particular, we survey on the relation between representations of the fundamental group of a nodal curve and the moduli spaces of generalised parabolic bundles and generalised parabolic $L$-twisted Hitchin pairs on its normalisation as well as on an analogue of the Hitchin map for generalised parabolic $L$-twisted Hitchin pairs.","authors_text":"Marina Logares","cross_cats":["math.DG"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2018-09-17T05:07:41Z","title":"On Higgs Bundles on Nodal Curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.06021","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:f92aaf7fcf88486fbbef0e117d299b66bfb3ba42ff75d9064fe48a8a858d6790","target":"record","created_at":"2026-05-17T23:50:02Z","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":"8be8ef73ed01e6cf6b1e6906bc5614c56e787d38fd9a2529d17334009437fd8c","cross_cats_sorted":["math.DG"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.AG","submitted_at":"2018-09-17T05:07:41Z","title_canon_sha256":"ce18d92095b2021aa0c7e2a60e339d97aba8fdb713fe2ed50e7a80be8c0f31a6"},"schema_version":"1.0","source":{"id":"1809.06021","kind":"arxiv","version":3}},"canonical_sha256":"f9a6707ae0fcb5f449a98c71df4afa738137ff86986d986b21880b7f7449efe8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9a6707ae0fcb5f449a98c71df4afa738137ff86986d986b21880b7f7449efe8","first_computed_at":"2026-05-17T23:50:02.468362Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:02.468362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IyhhA/E8IUMDvz0qP7tSYZWjDspFeQCxE25QuPEb+c+nV8QKg/rJc2Wm/HNOm2s7pGj7H5eyrfRfmMSz+YfbCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:02.468892Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.06021","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f92aaf7fcf88486fbbef0e117d299b66bfb3ba42ff75d9064fe48a8a858d6790","sha256:1e75b19e0757c0b70e70152e2514c6718fc9fe2c03f043b6b69f199da1c342d3"],"state_sha256":"4eb6ba8bc944507494583af7c1aee6229d916191841f2fd1c908c4e939bb94a0"}