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We construct the category $F\\text{-}D ^\\mathrm{b}_\\mathrm{ovhol} (\\mathcal{D} ^\\dag_{(Y,X)/K})$ of overholonomy type over $(Y,X)/K$. We check that these categories satisfy a formalism of Grothendieck's six operations."},"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":"1209.4020","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-09-18T16:34:18Z","cross_cats_sorted":[],"title_canon_sha256":"8ba59a35569b39fcd63cfe6d05ecd89e969a094b3c110c80a09eea06fe8929ab","abstract_canon_sha256":"2f1fe068d675d0fea7c2d83ddb554478d572bf73547de2478805bf9418e345a5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:02.066568Z","signature_b64":"xZ5wyV5/OuPVdoTM5I66vPtWVQRKoGFhg713kxZ9NReyV+r7EnC+TQQWBAfkCvOPpeL5pqBzTOsI0qe/ZhDHCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1e64139a740588bd35014490f73af0dbe8425ce9dba0f5f15c4858c9616f333","last_reissued_at":"2026-05-18T03:44:02.065678Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:02.065678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The formalism of Grothendieck's six operations in p-adic cohomologies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Daniel Caro","submitted_at":"2012-09-18T16:34:18Z","abstract_excerpt":"Let $\\mathcal{V}$ be a complete discrete valued ring of mixed characteristic $(0,p)$, $K$ its field of fractions, $k$ its residue field which is supposed to be perfect. Let $X$ be a separated $k$-scheme of finite type and $Y$ be an open subscheme of $X$. We construct the category $F\\text{-}D ^\\mathrm{b}_\\mathrm{ovhol} (\\mathcal{D} ^\\dag_{(Y,X)/K})$ of overholonomy type over $(Y,X)/K$. We check that these categories satisfy a formalism of Grothendieck's six operations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.4020","kind":"arxiv","version":2},"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":"1209.4020","created_at":"2026-05-18T03:44:02.065824+00:00"},{"alias_kind":"arxiv_version","alias_value":"1209.4020v2","created_at":"2026-05-18T03:44:02.065824+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.4020","created_at":"2026-05-18T03:44:02.065824+00:00"},{"alias_kind":"pith_short_12","alias_value":"4HTECONHIBMI","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"4HTECONHIBMIXU2Q","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"4HTECONH","created_at":"2026-05-18T12:26:53.410803+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/4HTECONHIBMIXU2QCREQ645PBW","json":"https://pith.science/pith/4HTECONHIBMIXU2QCREQ645PBW.json","graph_json":"https://pith.science/api/pith-number/4HTECONHIBMIXU2QCREQ645PBW/graph.json","events_json":"https://pith.science/api/pith-number/4HTECONHIBMIXU2QCREQ645PBW/events.json","paper":"https://pith.science/paper/4HTECONH"},"agent_actions":{"view_html":"https://pith.science/pith/4HTECONHIBMIXU2QCREQ645PBW","download_json":"https://pith.science/pith/4HTECONHIBMIXU2QCREQ645PBW.json","view_paper":"https://pith.science/paper/4HTECONH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1209.4020&json=true","fetch_graph":"https://pith.science/api/pith-number/4HTECONHIBMIXU2QCREQ645PBW/graph.json","fetch_events":"https://pith.science/api/pith-number/4HTECONHIBMIXU2QCREQ645PBW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4HTECONHIBMIXU2QCREQ645PBW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4HTECONHIBMIXU2QCREQ645PBW/action/storage_attestation","attest_author":"https://pith.science/pith/4HTECONHIBMIXU2QCREQ645PBW/action/author_attestation","sign_citation":"https://pith.science/pith/4HTECONHIBMIXU2QCREQ645PBW/action/citation_signature","submit_replication":"https://pith.science/pith/4HTECONHIBMIXU2QCREQ645PBW/action/replication_record"}},"created_at":"2026-05-18T03:44:02.065824+00:00","updated_at":"2026-05-18T03:44:02.065824+00:00"}