{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:F6OBTGBDSP3ZY2PTROJVKURRUR","short_pith_number":"pith:F6OBTGBD","schema_version":"1.0","canonical_sha256":"2f9c19982393f79c69f38b93555231a452f73b05aee78d8bb267eaa92b86bffc","source":{"kind":"arxiv","id":"1308.5259","version":4},"attestation_state":"computed","paper":{"title":"Good formal structures for flat meromorphic connections, III: Irregularity and turning loci","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"Kiran S. Kedlaya","submitted_at":"2013-08-23T22:40:31Z","abstract_excerpt":"Given a formal flat meromorphic connection over an excellent scheme over a field of characteristic zero, in a previous paper we established existence of good formal structures and a good Deligne-Malgrange lattice after suitably blowing up. In this paper, we reinterpret and refine these results by introducing some related structures. We consider the turning locus, which is the set of points at which one cannot achieve a good formal structure without blowing up. We show that when the polar divisor has normal crossings, the turning locus is of pure codimension 1 within the polar divisor, and henc"},"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":"1308.5259","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-08-23T22:40:31Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"c7c5f1ad3e2ff33beb2067f715f6e2f44bb1624a942e0a6fb07b2acb88d69710","abstract_canon_sha256":"2a042a8fd0d2044bf34f59026a4eac80d6be78e80ddd915a5b34ad1fb31b2279"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:49.882212Z","signature_b64":"X0PaPaK+32QpXTS41X7k3PsBC5qS0f6M5qt9EVAYxBw5YdlH5qocSMamUIF4cNHt7f5+TojT9IbZvgmoKzrJAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f9c19982393f79c69f38b93555231a452f73b05aee78d8bb267eaa92b86bffc","last_reissued_at":"2026-05-17T23:51:49.881747Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:49.881747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Good formal structures for flat meromorphic connections, III: Irregularity and turning loci","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"Kiran S. Kedlaya","submitted_at":"2013-08-23T22:40:31Z","abstract_excerpt":"Given a formal flat meromorphic connection over an excellent scheme over a field of characteristic zero, in a previous paper we established existence of good formal structures and a good Deligne-Malgrange lattice after suitably blowing up. In this paper, we reinterpret and refine these results by introducing some related structures. We consider the turning locus, which is the set of points at which one cannot achieve a good formal structure without blowing up. We show that when the polar divisor has normal crossings, the turning locus is of pure codimension 1 within the polar divisor, and henc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.5259","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1308.5259","created_at":"2026-05-17T23:51:49.881816+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.5259v4","created_at":"2026-05-17T23:51:49.881816+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.5259","created_at":"2026-05-17T23:51:49.881816+00:00"},{"alias_kind":"pith_short_12","alias_value":"F6OBTGBDSP3Z","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_16","alias_value":"F6OBTGBDSP3ZY2PT","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_8","alias_value":"F6OBTGBD","created_at":"2026-05-18T12:27:43.054852+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/F6OBTGBDSP3ZY2PTROJVKURRUR","json":"https://pith.science/pith/F6OBTGBDSP3ZY2PTROJVKURRUR.json","graph_json":"https://pith.science/api/pith-number/F6OBTGBDSP3ZY2PTROJVKURRUR/graph.json","events_json":"https://pith.science/api/pith-number/F6OBTGBDSP3ZY2PTROJVKURRUR/events.json","paper":"https://pith.science/paper/F6OBTGBD"},"agent_actions":{"view_html":"https://pith.science/pith/F6OBTGBDSP3ZY2PTROJVKURRUR","download_json":"https://pith.science/pith/F6OBTGBDSP3ZY2PTROJVKURRUR.json","view_paper":"https://pith.science/paper/F6OBTGBD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.5259&json=true","fetch_graph":"https://pith.science/api/pith-number/F6OBTGBDSP3ZY2PTROJVKURRUR/graph.json","fetch_events":"https://pith.science/api/pith-number/F6OBTGBDSP3ZY2PTROJVKURRUR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F6OBTGBDSP3ZY2PTROJVKURRUR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F6OBTGBDSP3ZY2PTROJVKURRUR/action/storage_attestation","attest_author":"https://pith.science/pith/F6OBTGBDSP3ZY2PTROJVKURRUR/action/author_attestation","sign_citation":"https://pith.science/pith/F6OBTGBDSP3ZY2PTROJVKURRUR/action/citation_signature","submit_replication":"https://pith.science/pith/F6OBTGBDSP3ZY2PTROJVKURRUR/action/replication_record"}},"created_at":"2026-05-17T23:51:49.881816+00:00","updated_at":"2026-05-17T23:51:49.881816+00:00"}