{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TRJYFPRRLBVDJ5OSVSYMNMW6HA","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":"72b69db617ce61c83534caeb6d6cc1b27431a2f5d22b71b4d279e580a02169ce","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-17T07:47:45Z","title_canon_sha256":"cd943ff74075c73cde994d46e9fdfe0e1946d2bbc1bf4fc5a9d206d1f2d12368"},"schema_version":"1.0","source":{"id":"1703.05915","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.05915","created_at":"2026-05-18T00:48:31Z"},{"alias_kind":"arxiv_version","alias_value":"1703.05915v1","created_at":"2026-05-18T00:48:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.05915","created_at":"2026-05-18T00:48:31Z"},{"alias_kind":"pith_short_12","alias_value":"TRJYFPRRLBVD","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TRJYFPRRLBVDJ5OS","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TRJYFPRR","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:b20ff288a41177627f97278619c85602b40adb7991e774466bdec025581e0ef6","target":"graph","created_at":"2026-05-18T00:48:31Z","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":"Inspired by Besser's work on Coleman integration, we use $\\nabla$-modules to define iterated line integrals over Laurent series fields of characteristic $p$ taking values in double cosets of unipotent $n\\times n$ matrices with coefficients in the Robba ring divided out by unipotent $n\\times n$ matrices with coefficients in the bounded Robba ring on the left and by unipotent $n\\times n$ matrices with coefficients in the constant field on the right. We reach our definition by looking at the analogous theory for Laurent series fields of characteristic $0$ first, and reinterpreting the classical f","authors_text":"Ambrus P\\'al","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-17T07:47:45Z","title":"Iterated line integrals over Laurent series fields of characteristic p"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.05915","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":"sha256:256f6eba366dbc726510d19430565f4c44f89ee9b471bc0ad3d8fb7cccd9b92b","target":"record","created_at":"2026-05-18T00:48:31Z","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":"72b69db617ce61c83534caeb6d6cc1b27431a2f5d22b71b4d279e580a02169ce","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-17T07:47:45Z","title_canon_sha256":"cd943ff74075c73cde994d46e9fdfe0e1946d2bbc1bf4fc5a9d206d1f2d12368"},"schema_version":"1.0","source":{"id":"1703.05915","kind":"arxiv","version":1}},"canonical_sha256":"9c5382be31586a34f5d2acb0c6b2de3804526cba8a510087248cba36275ea331","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c5382be31586a34f5d2acb0c6b2de3804526cba8a510087248cba36275ea331","first_computed_at":"2026-05-18T00:48:31.750843Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:31.750843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E56ME3Af4hyNLudLzSklkCyYQ9tJqX0bE+Xm2XcDT5lCInS/VN6DkgRjNNYQgu8+xnmLN0qzwCr+X8kZqJ/kAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:31.751237Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.05915","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:256f6eba366dbc726510d19430565f4c44f89ee9b471bc0ad3d8fb7cccd9b92b","sha256:b20ff288a41177627f97278619c85602b40adb7991e774466bdec025581e0ef6"],"state_sha256":"7d6e9d8b031240871321e66971551fcdf01ff78adb04b3c62b34f3364755db74"}