{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ERYHADIK4RCP2WWXC732A4YTGU","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":"f1f130fdf3bf0ab6d38ab94e0bf80c11d8cd01124c31848d9ee4caba011ce9f2","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-01-23T15:53:31Z","title_canon_sha256":"7b789082cfa790be8d4ae766bfaec5ce0fe383ff42309ac5334b8e723dfc545a"},"schema_version":"1.0","source":{"id":"2501.13775","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.13775","created_at":"2026-07-05T10:04:33Z"},{"alias_kind":"arxiv_version","alias_value":"2501.13775v1","created_at":"2026-07-05T10:04:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.13775","created_at":"2026-07-05T10:04:33Z"},{"alias_kind":"pith_short_12","alias_value":"ERYHADIK4RCP","created_at":"2026-07-05T10:04:33Z"},{"alias_kind":"pith_short_16","alias_value":"ERYHADIK4RCP2WWX","created_at":"2026-07-05T10:04:33Z"},{"alias_kind":"pith_short_8","alias_value":"ERYHADIK","created_at":"2026-07-05T10:04:33Z"}],"graph_snapshots":[{"event_id":"sha256:5f802041a7b4c7cfd4339457e701de742c7bc39c956c7f5091f1f687bc564d42","target":"graph","created_at":"2026-07-05T10:04:33Z","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/2501.13775/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce the concept of parabolic bases to establish a localized framework for parabolic bundles and parabolic $\\lambda$-connections. Building on this foundation, we propose a novel method for constructing the parabolic non-abelian Hodge correspondence in positive characteristic, extending the work originally developed by Krishnamoorthy and Sheng for algebraic curves. Additionally, we investigate the rank $2$ parabolic Higgs-de Rham flow operator and present a modified version of the Sun-Yang-Zuo algorithm, specifically adapted to the parabolic setting.","authors_text":"Xiaojin Lin","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-01-23T15:53:31Z","title":"Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.13775","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":"sha256:81f0029af412c5ebc1a43c94bbc1fd494eee42bbd2aba128f223da70b99735c5","target":"record","created_at":"2026-07-05T10:04:33Z","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":"f1f130fdf3bf0ab6d38ab94e0bf80c11d8cd01124c31848d9ee4caba011ce9f2","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-01-23T15:53:31Z","title_canon_sha256":"7b789082cfa790be8d4ae766bfaec5ce0fe383ff42309ac5334b8e723dfc545a"},"schema_version":"1.0","source":{"id":"2501.13775","kind":"arxiv","version":1}},"canonical_sha256":"2470700d0ae444fd5ad717f7a073133524634d6f36a5725d41fb4809c84b462b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2470700d0ae444fd5ad717f7a073133524634d6f36a5725d41fb4809c84b462b","first_computed_at":"2026-07-05T10:04:33.856337Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:04:33.856337Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ckDazAWbhcqBcvRqMUTVUU+zs85pogX4tkm0B2Q0hsvlvsuU8VrCq3QEhTSWo1WAWMwS2XqklCFzms5EFHnxAg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:04:33.856879Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.13775","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:81f0029af412c5ebc1a43c94bbc1fd494eee42bbd2aba128f223da70b99735c5","sha256:5f802041a7b4c7cfd4339457e701de742c7bc39c956c7f5091f1f687bc564d42"],"state_sha256":"6f901be6786d668dc8335e4119832ae9dc817363c9d61547f148ea00f5062a06"}