{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:MYWCCDTXGSBEONECRHE7BX3MUK","short_pith_number":"pith:MYWCCDTX","schema_version":"1.0","canonical_sha256":"662c210e77348247348289c9f0df6ca28dbb8fbf727b874ab9b7a7be0b4829a0","source":{"kind":"arxiv","id":"1812.06278","version":3},"attestation_state":"computed","paper":{"title":"Good lattices of algebraic connections","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Claude Sabbah, H\\'el\\`ene Esnault","submitted_at":"2018-12-15T12:28:01Z","abstract_excerpt":"We construct a logarithmic model of connections on smooth quasi-projective $n$-dimensional geometrically irreducible varieties defined over an algebraically closed field of characteristic $0$. It consists of a good compactification of the variety together with $(n+1)$ lattices on it which are stabilized by log differential operators, and compute algebraically de Rham cohomology. The construction is derived from the existence of good Deligne-Malgrange lattices, a theorem of Kedlaya and Mochizuki which consists first in eliminating the turning points. Moreover, we show that a logarithmic model o"},"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":"1812.06278","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2018-12-15T12:28:01Z","cross_cats_sorted":[],"title_canon_sha256":"7ae55f8703b93ebe4b67b38bddb6141833ad4a583638101eeae82b875548cb55","abstract_canon_sha256":"999d695b788f64d8e5424ffedfe1788c94db39de54904b0515fc008bf3bf1b3b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:12.233956Z","signature_b64":"MIdBxbFTTwRwy4gHtfHT3WhihFfOlNJGed/BQD7vjxQKsGDA5vlnJ8DJ4tKU9u21RriTkb5w+50NcAJ4emElDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"662c210e77348247348289c9f0df6ca28dbb8fbf727b874ab9b7a7be0b4829a0","last_reissued_at":"2026-05-17T23:47:12.233493Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:12.233493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Good lattices of algebraic connections","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Claude Sabbah, H\\'el\\`ene Esnault","submitted_at":"2018-12-15T12:28:01Z","abstract_excerpt":"We construct a logarithmic model of connections on smooth quasi-projective $n$-dimensional geometrically irreducible varieties defined over an algebraically closed field of characteristic $0$. It consists of a good compactification of the variety together with $(n+1)$ lattices on it which are stabilized by log differential operators, and compute algebraically de Rham cohomology. The construction is derived from the existence of good Deligne-Malgrange lattices, a theorem of Kedlaya and Mochizuki which consists first in eliminating the turning points. Moreover, we show that a logarithmic model o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.06278","kind":"arxiv","version":3},"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":"1812.06278","created_at":"2026-05-17T23:47:12.233565+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.06278v3","created_at":"2026-05-17T23:47:12.233565+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.06278","created_at":"2026-05-17T23:47:12.233565+00:00"},{"alias_kind":"pith_short_12","alias_value":"MYWCCDTXGSBE","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_16","alias_value":"MYWCCDTXGSBEONEC","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_8","alias_value":"MYWCCDTX","created_at":"2026-05-18T12:32:40.477152+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/MYWCCDTXGSBEONECRHE7BX3MUK","json":"https://pith.science/pith/MYWCCDTXGSBEONECRHE7BX3MUK.json","graph_json":"https://pith.science/api/pith-number/MYWCCDTXGSBEONECRHE7BX3MUK/graph.json","events_json":"https://pith.science/api/pith-number/MYWCCDTXGSBEONECRHE7BX3MUK/events.json","paper":"https://pith.science/paper/MYWCCDTX"},"agent_actions":{"view_html":"https://pith.science/pith/MYWCCDTXGSBEONECRHE7BX3MUK","download_json":"https://pith.science/pith/MYWCCDTXGSBEONECRHE7BX3MUK.json","view_paper":"https://pith.science/paper/MYWCCDTX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.06278&json=true","fetch_graph":"https://pith.science/api/pith-number/MYWCCDTXGSBEONECRHE7BX3MUK/graph.json","fetch_events":"https://pith.science/api/pith-number/MYWCCDTXGSBEONECRHE7BX3MUK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MYWCCDTXGSBEONECRHE7BX3MUK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MYWCCDTXGSBEONECRHE7BX3MUK/action/storage_attestation","attest_author":"https://pith.science/pith/MYWCCDTXGSBEONECRHE7BX3MUK/action/author_attestation","sign_citation":"https://pith.science/pith/MYWCCDTXGSBEONECRHE7BX3MUK/action/citation_signature","submit_replication":"https://pith.science/pith/MYWCCDTXGSBEONECRHE7BX3MUK/action/replication_record"}},"created_at":"2026-05-17T23:47:12.233565+00:00","updated_at":"2026-05-17T23:47:12.233565+00:00"}