{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:WRF55OTTUHKN7SJPUF57BACSE5","short_pith_number":"pith:WRF55OTT","schema_version":"1.0","canonical_sha256":"b44bdeba73a1d4dfc92fa17bf08052276af7e3c4a0ff27df085192dc42394e0d","source":{"kind":"arxiv","id":"2402.01365","version":1},"attestation_state":"computed","paper":{"title":"$p$-adic non-abelian Hodge theory for curves via moduli stacks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ben Heuer, Daxin Xu","submitted_at":"2024-02-02T12:36:01Z","abstract_excerpt":"For a smooth projective curve $X$ over $\\mathbb C_p$ and any reductive group $G$, we show that the moduli stack of $G$-Higgs bundles on $X$ is a twist of the moduli stack of v-topological $G$-bundles on $X_v$ in a canonical way. We explain how a choice of an exponential trivialises this twist on points. This yields a geometrisation of Faltings' $p$-adic Simpson correspondence for $X$, which we recover as a homeomorphism between the points of moduli spaces. We also show that our twisted isomorphism sends the stack of $p$-adic representations of $\\pi_1(X)$ to an open substack of the stack of sem"},"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":"2402.01365","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-02-02T12:36:01Z","cross_cats_sorted":[],"title_canon_sha256":"a80a616509a290b2e30e7688b38f5bd30781dad9308cc99d511a890e5ec1a2ab","abstract_canon_sha256":"444302991b523b146261095826dd20a16910e9b66d0e35e48e8b2004fc8fe4af"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:40:34.062476Z","signature_b64":"clOKhrkmHLYwSPxQVGyPJLTaugqPlOOv4r3w8f46xBDxHkeEufOzAflu0xlJtwsiYpMBBcCAQbWXI0I7udP6Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b44bdeba73a1d4dfc92fa17bf08052276af7e3c4a0ff27df085192dc42394e0d","last_reissued_at":"2026-07-05T07:40:34.062065Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:40:34.062065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$p$-adic non-abelian Hodge theory for curves via moduli stacks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ben Heuer, Daxin Xu","submitted_at":"2024-02-02T12:36:01Z","abstract_excerpt":"For a smooth projective curve $X$ over $\\mathbb C_p$ and any reductive group $G$, we show that the moduli stack of $G$-Higgs bundles on $X$ is a twist of the moduli stack of v-topological $G$-bundles on $X_v$ in a canonical way. We explain how a choice of an exponential trivialises this twist on points. This yields a geometrisation of Faltings' $p$-adic Simpson correspondence for $X$, which we recover as a homeomorphism between the points of moduli spaces. We also show that our twisted isomorphism sends the stack of $p$-adic representations of $\\pi_1(X)$ to an open substack of the stack of sem"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.01365","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/2402.01365/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":"2402.01365","created_at":"2026-07-05T07:40:34.062120+00:00"},{"alias_kind":"arxiv_version","alias_value":"2402.01365v1","created_at":"2026-07-05T07:40:34.062120+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.01365","created_at":"2026-07-05T07:40:34.062120+00:00"},{"alias_kind":"pith_short_12","alias_value":"WRF55OTTUHKN","created_at":"2026-07-05T07:40:34.062120+00:00"},{"alias_kind":"pith_short_16","alias_value":"WRF55OTTUHKN7SJP","created_at":"2026-07-05T07:40:34.062120+00:00"},{"alias_kind":"pith_short_8","alias_value":"WRF55OTT","created_at":"2026-07-05T07:40:34.062120+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.06092","citing_title":"Higgs bundles on the Fargues-Fontaine curve","ref_index":28,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WRF55OTTUHKN7SJPUF57BACSE5","json":"https://pith.science/pith/WRF55OTTUHKN7SJPUF57BACSE5.json","graph_json":"https://pith.science/api/pith-number/WRF55OTTUHKN7SJPUF57BACSE5/graph.json","events_json":"https://pith.science/api/pith-number/WRF55OTTUHKN7SJPUF57BACSE5/events.json","paper":"https://pith.science/paper/WRF55OTT"},"agent_actions":{"view_html":"https://pith.science/pith/WRF55OTTUHKN7SJPUF57BACSE5","download_json":"https://pith.science/pith/WRF55OTTUHKN7SJPUF57BACSE5.json","view_paper":"https://pith.science/paper/WRF55OTT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2402.01365&json=true","fetch_graph":"https://pith.science/api/pith-number/WRF55OTTUHKN7SJPUF57BACSE5/graph.json","fetch_events":"https://pith.science/api/pith-number/WRF55OTTUHKN7SJPUF57BACSE5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WRF55OTTUHKN7SJPUF57BACSE5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WRF55OTTUHKN7SJPUF57BACSE5/action/storage_attestation","attest_author":"https://pith.science/pith/WRF55OTTUHKN7SJPUF57BACSE5/action/author_attestation","sign_citation":"https://pith.science/pith/WRF55OTTUHKN7SJPUF57BACSE5/action/citation_signature","submit_replication":"https://pith.science/pith/WRF55OTTUHKN7SJPUF57BACSE5/action/replication_record"}},"created_at":"2026-07-05T07:40:34.062120+00:00","updated_at":"2026-07-05T07:40:34.062120+00:00"}