{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:EABGH4XPFXRI24H6SFNIHBCOFI","short_pith_number":"pith:EABGH4XP","schema_version":"1.0","canonical_sha256":"200263f2ef2de28d70fe915a83844e2a04ec0b638f5e04f2488f4dd97ae3060b","source":{"kind":"arxiv","id":"2606.10573","version":1},"attestation_state":"computed","paper":{"title":"The convergent stack","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Marco D'Addezio","submitted_at":"2026-06-09T08:39:05Z","abstract_excerpt":"Inspired by Simpson's de Rham stack and Drinfeld's crystalline stack, we develop a stacky approach to convergent cohomology and convergent isocrystals in positive characteristic. To any scheme $X$ over $\\mathbb{F}_p$ we attach a convergent stack $X_{\\mathrm{conv}}$. When $X$ is of finite type over a perfect field, its finitely generated quasi-coherent $\\mathcal{O}[\\tfrac1p]$-modules are equivalent to convergent isocrystals over $X$, compatibly with cohomology. When $X$ embeds into a smooth $p$-adic formal scheme, we describe $X_{\\mathrm{conv}}$ explicitly as the quotient of an open tube by a $"},"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":"2606.10573","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-09T08:39:05Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"d11249d38457a5f96829a44f4879e55173689d245f1b742dd610fcbd454c8c71","abstract_canon_sha256":"e5fe2dd78b939dc1782236051baefb19efbf130a96defb825373fad0670a79a0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-10T01:10:27.500687Z","signature_b64":"Eap7PG8LUig+GtudKJNpwIBZ9A2RGUEJvJDw7yM6el4MDc1fiV6T7Fy0wYajJbJqsjOggX+Jx012IzjR0Q7DCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"200263f2ef2de28d70fe915a83844e2a04ec0b638f5e04f2488f4dd97ae3060b","last_reissued_at":"2026-06-10T01:10:27.499809Z","signature_status":"signed_v1","first_computed_at":"2026-06-10T01:10:27.499809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The convergent stack","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Marco D'Addezio","submitted_at":"2026-06-09T08:39:05Z","abstract_excerpt":"Inspired by Simpson's de Rham stack and Drinfeld's crystalline stack, we develop a stacky approach to convergent cohomology and convergent isocrystals in positive characteristic. To any scheme $X$ over $\\mathbb{F}_p$ we attach a convergent stack $X_{\\mathrm{conv}}$. When $X$ is of finite type over a perfect field, its finitely generated quasi-coherent $\\mathcal{O}[\\tfrac1p]$-modules are equivalent to convergent isocrystals over $X$, compatibly with cohomology. When $X$ embeds into a smooth $p$-adic formal scheme, we describe $X_{\\mathrm{conv}}$ explicitly as the quotient of an open tube by a $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10573","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.10573/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2606.10573","created_at":"2026-06-10T01:10:27.499956+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.10573v1","created_at":"2026-06-10T01:10:27.499956+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.10573","created_at":"2026-06-10T01:10:27.499956+00:00"},{"alias_kind":"pith_short_12","alias_value":"EABGH4XPFXRI","created_at":"2026-06-10T01:10:27.499956+00:00"},{"alias_kind":"pith_short_16","alias_value":"EABGH4XPFXRI24H6","created_at":"2026-06-10T01:10:27.499956+00:00"},{"alias_kind":"pith_short_8","alias_value":"EABGH4XP","created_at":"2026-06-10T01:10:27.499956+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/EABGH4XPFXRI24H6SFNIHBCOFI","json":"https://pith.science/pith/EABGH4XPFXRI24H6SFNIHBCOFI.json","graph_json":"https://pith.science/api/pith-number/EABGH4XPFXRI24H6SFNIHBCOFI/graph.json","events_json":"https://pith.science/api/pith-number/EABGH4XPFXRI24H6SFNIHBCOFI/events.json","paper":"https://pith.science/paper/EABGH4XP"},"agent_actions":{"view_html":"https://pith.science/pith/EABGH4XPFXRI24H6SFNIHBCOFI","download_json":"https://pith.science/pith/EABGH4XPFXRI24H6SFNIHBCOFI.json","view_paper":"https://pith.science/paper/EABGH4XP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.10573&json=true","fetch_graph":"https://pith.science/api/pith-number/EABGH4XPFXRI24H6SFNIHBCOFI/graph.json","fetch_events":"https://pith.science/api/pith-number/EABGH4XPFXRI24H6SFNIHBCOFI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EABGH4XPFXRI24H6SFNIHBCOFI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EABGH4XPFXRI24H6SFNIHBCOFI/action/storage_attestation","attest_author":"https://pith.science/pith/EABGH4XPFXRI24H6SFNIHBCOFI/action/author_attestation","sign_citation":"https://pith.science/pith/EABGH4XPFXRI24H6SFNIHBCOFI/action/citation_signature","submit_replication":"https://pith.science/pith/EABGH4XPFXRI24H6SFNIHBCOFI/action/replication_record"}},"created_at":"2026-06-10T01:10:27.499956+00:00","updated_at":"2026-06-10T01:10:27.499956+00:00"}