{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7ORXQVALPJZOZ5O5LIIT3M2ZKW","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":"d463572e0e45d22e38c926e42f53ba2d2e16b6626026ff94327c5e8069563a03","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-02-06T15:47:04Z","title_canon_sha256":"0ebca35e67dd8553d014bb3ed6d1ab3e35ba4bf768eda298cf8e07a36ace5d3a"},"schema_version":"1.0","source":{"id":"1402.1382","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.1382","created_at":"2026-05-18T01:11:35Z"},{"alias_kind":"arxiv_version","alias_value":"1402.1382v3","created_at":"2026-05-18T01:11:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1382","created_at":"2026-05-18T01:11:35Z"},{"alias_kind":"pith_short_12","alias_value":"7ORXQVALPJZO","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7ORXQVALPJZOZ5O5","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7ORXQVAL","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:f1a8d26cf118ed45f8ceec2b8272fd0ba17b5bdfd439d9cfe38fc4b21c870345","target":"graph","created_at":"2026-05-18T01:11:35Z","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":"The main purpose of this paper is to provide a structure theorem for codimension one singular transversely projective foliationson projective manifolds. To reach our goal, we firstly extend  Corlette-Simpson's classification of rank two representationsof fundamental groups of quasiprojective manifolds by dropping the hypothesis of quasi-unipotency at infinity.Secondly  we establish an analogue classification for rank two flat meromorphic connections.In particular, we prove that a rank two flat meromorphic connection with irregular singularities having non trivial Stokesprojectively factors thr","authors_text":"Frank Loray (IRMAR), Fr\\'ed\\'eric Touzet (IRMAR), Jorge Vitorio Pereira (IMPA)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-02-06T15:47:04Z","title":"Representations of quasiprojective groups, Flat connections and Transversely projective foliations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1382","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:cdd679e0ffe032df6db4869b690af5518eafc05df1ed741a505effdc3ced0389","target":"record","created_at":"2026-05-18T01:11:35Z","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":"d463572e0e45d22e38c926e42f53ba2d2e16b6626026ff94327c5e8069563a03","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-02-06T15:47:04Z","title_canon_sha256":"0ebca35e67dd8553d014bb3ed6d1ab3e35ba4bf768eda298cf8e07a36ace5d3a"},"schema_version":"1.0","source":{"id":"1402.1382","kind":"arxiv","version":3}},"canonical_sha256":"fba378540b7a72ecf5dd5a113db359559424ffb2bf8bee54796fdbea7b70bea9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fba378540b7a72ecf5dd5a113db359559424ffb2bf8bee54796fdbea7b70bea9","first_computed_at":"2026-05-18T01:11:35.509670Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:35.509670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rqC5+hcFdb7fu4bt4g3jCWtPT4PDwe93h6/wwoomIVZ0A6cqse8qhZclwtJBWFciqanudHyLk1b1RoFpfSlNDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:35.510100Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.1382","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cdd679e0ffe032df6db4869b690af5518eafc05df1ed741a505effdc3ced0389","sha256:f1a8d26cf118ed45f8ceec2b8272fd0ba17b5bdfd439d9cfe38fc4b21c870345"],"state_sha256":"d9431f56a85b212bf002d448cdbe2dbba1d3a8704169ea3ed8c555f7902ec59f"}