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In Berthelot's theory of arithmetic $\\mathcal{D}$-modules, we work with the inductive system of sheaves of rings $\\smash{\\hat{\\mathcal{D}}}_{\\mathcal{P} ^\\sharp} ^{(\\bullet)} := (\\smash{\\hat{\\mathcal{D}}}_{\\mathcal{P}^\\sharp}"},"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":"1207.0710","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-07-03T15:21:36Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"fd313c6c18df76dfbafabf0e4294d613a4443e9642b99379f794b5e884bd6e5f","abstract_canon_sha256":"bb7c9a722ae73eb7106a79a21d1b2ff64076bad7cf4e17ebce9a0f63fa15acfb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:28.901555Z","signature_b64":"doNjxMMby2NkGZyo/GIv8xA6wmf3p2gT2gfWTnkLMNS9FgVgPnySVhW3HKOpu3Kv7G89ydMvAK81LA1b84FsBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82b63721cdeb81997462e8f7acb3020223586b88359fb25f5949a3a55a2d0501","last_reissued_at":"2026-05-18T00:51:28.901008Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:28.901008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Syst\\`emes inductifs surcoh\\'erents de D-modules arithm\\'etiques logarithmiques","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Daniel Caro","submitted_at":"2012-07-03T15:21:36Z","abstract_excerpt":"Let $\\mathcal{V}$ be a complete discrete valuation ring of unequal characteristic with perfect residue field, $\\mathcal{P}$ be a smooth, quasi-compact, separated formal scheme over $\\mathcal{V}$, $\\mathcal{Z}$ be a strict normal crossing divisor of $\\mathcal{P}$ and $\\mathcal{P}^\\sharp := (\\mathcal{P}, \\mathcal{Z})$ the induced smooth formal log-scheme over $\\mathcal{V}$. In Berthelot's theory of arithmetic $\\mathcal{D}$-modules, we work with the inductive system of sheaves of rings $\\smash{\\hat{\\mathcal{D}}}_{\\mathcal{P} ^\\sharp} ^{(\\bullet)} := (\\smash{\\hat{\\mathcal{D}}}_{\\mathcal{P}^\\sharp}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0710","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":"1207.0710","created_at":"2026-05-18T00:51:28.901106+00:00"},{"alias_kind":"arxiv_version","alias_value":"1207.0710v4","created_at":"2026-05-18T00:51:28.901106+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.0710","created_at":"2026-05-18T00:51:28.901106+00:00"},{"alias_kind":"pith_short_12","alias_value":"QK3DOION5OAZ","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"QK3DOION5OAZS5DC","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"QK3DOION","created_at":"2026-05-18T12:27:18.751474+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/QK3DOION5OAZS5DC5D32ZMYCAI","json":"https://pith.science/pith/QK3DOION5OAZS5DC5D32ZMYCAI.json","graph_json":"https://pith.science/api/pith-number/QK3DOION5OAZS5DC5D32ZMYCAI/graph.json","events_json":"https://pith.science/api/pith-number/QK3DOION5OAZS5DC5D32ZMYCAI/events.json","paper":"https://pith.science/paper/QK3DOION"},"agent_actions":{"view_html":"https://pith.science/pith/QK3DOION5OAZS5DC5D32ZMYCAI","download_json":"https://pith.science/pith/QK3DOION5OAZS5DC5D32ZMYCAI.json","view_paper":"https://pith.science/paper/QK3DOION","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1207.0710&json=true","fetch_graph":"https://pith.science/api/pith-number/QK3DOION5OAZS5DC5D32ZMYCAI/graph.json","fetch_events":"https://pith.science/api/pith-number/QK3DOION5OAZS5DC5D32ZMYCAI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QK3DOION5OAZS5DC5D32ZMYCAI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QK3DOION5OAZS5DC5D32ZMYCAI/action/storage_attestation","attest_author":"https://pith.science/pith/QK3DOION5OAZS5DC5D32ZMYCAI/action/author_attestation","sign_citation":"https://pith.science/pith/QK3DOION5OAZS5DC5D32ZMYCAI/action/citation_signature","submit_replication":"https://pith.science/pith/QK3DOION5OAZS5DC5D32ZMYCAI/action/replication_record"}},"created_at":"2026-05-18T00:51:28.901106+00:00","updated_at":"2026-05-18T00:51:28.901106+00:00"}