{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:IKNENLHJUSPSMJTDLLUH6GNXQG","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":"68ef7af69f309ede22d996b92cc3aba747ab9b7e99864a6215e76f87d72e5c91","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2024-11-29T10:24:43Z","title_canon_sha256":"ee787b55ef027b2cd781e5e9f8505b6ad5487aac8d708cf63524962fe5b866b7"},"schema_version":"1.0","source":{"id":"2411.19595","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.19595","created_at":"2026-07-05T09:42:04Z"},{"alias_kind":"arxiv_version","alias_value":"2411.19595v1","created_at":"2026-07-05T09:42:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.19595","created_at":"2026-07-05T09:42:04Z"},{"alias_kind":"pith_short_12","alias_value":"IKNENLHJUSPS","created_at":"2026-07-05T09:42:04Z"},{"alias_kind":"pith_short_16","alias_value":"IKNENLHJUSPSMJTD","created_at":"2026-07-05T09:42:04Z"},{"alias_kind":"pith_short_8","alias_value":"IKNENLHJ","created_at":"2026-07-05T09:42:04Z"}],"graph_snapshots":[{"event_id":"sha256:d3cfb5d762483596e35e8f651e03fe736a0e706601a37448e9e988d0484432fb","target":"graph","created_at":"2026-07-05T09:42:04Z","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/2411.19595/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We generalize the higher Riemann-Hilbert correspondence in the presence of scalar curvature for a (possibly non-compact) smooth manifold $M$. We show that the dg-category of curved $\\infty$-local systems, the dg-category of graded vector bundles with projectively flat $\\mathbb Z$-graded connections and the dg-category of curved representations of the singular simplicial set of the based loop space of $M$ are all $A_\\infty$-quasi equivalent. They provide dg-enhancements of the subcategory of the bounded derived category of twisted sheaves whose cohomology sheaves are locally constant and have f","authors_text":"Patrick Antweiler","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2024-11-29T10:24:43Z","title":"Curved $\\infty$-Local Systems And Projectively Flat Riemann-Hilbert Correspondence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.19595","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:e9cb1af282133eb395ba869cc902e5969764777a191d4a2b04af960c28f0ae4a","target":"record","created_at":"2026-07-05T09:42:04Z","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":"68ef7af69f309ede22d996b92cc3aba747ab9b7e99864a6215e76f87d72e5c91","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2024-11-29T10:24:43Z","title_canon_sha256":"ee787b55ef027b2cd781e5e9f8505b6ad5487aac8d708cf63524962fe5b866b7"},"schema_version":"1.0","source":{"id":"2411.19595","kind":"arxiv","version":1}},"canonical_sha256":"429a46ace9a49f2626635ae87f19b7818bfb330597f00fbb219a181e3535a5c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"429a46ace9a49f2626635ae87f19b7818bfb330597f00fbb219a181e3535a5c8","first_computed_at":"2026-07-05T09:42:04.987672Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:42:04.987672Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zhfHQDII5nQPTtRrlflp6+waOT9GlUlgBRRhguPySFGtW457QSqxG8wfZJoDkj0PmRCC2zkRzaXGb0vnlmfdBw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:42:04.988159Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.19595","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e9cb1af282133eb395ba869cc902e5969764777a191d4a2b04af960c28f0ae4a","sha256:d3cfb5d762483596e35e8f651e03fe736a0e706601a37448e9e988d0484432fb"],"state_sha256":"2d348db458e762a330420ce3accf15e3b7ca0204fbb2413a553ddbaa56ade101"}