{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:NIGZXHVM54PLTG546KWFFC3FAP","short_pith_number":"pith:NIGZXHVM","schema_version":"1.0","canonical_sha256":"6a0d9b9eacef1eb99bbcf2ac528b6503d60a23a21ff268bd74e48d401d124b87","source":{"kind":"arxiv","id":"1210.8280","version":3},"attestation_state":"computed","paper":{"title":"Semistable Higgs bundles and representations of algebraic fundamental groups: Positive characteristic case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Guitang Lan, Kang Zuo, Mao Sheng","submitted_at":"2012-10-31T10:03:28Z","abstract_excerpt":"Let $k$ be an algebraic closure of finite fields with odd characteristic $p$ and a smooth projective scheme $\\mathbf{X}/W(k)$. Let $\\mathbf{X}^0$ be its generic fiber and $X$ the closed fiber. For $\\mathbf{X}^0$ a curve Faltings conjectured that semistable Higgs bundles of slope zero over $\\mathbf{X}^0_{\\mathbb{C}_p}$ correspond to genuine representations of the algebraic fundamental group of $\\mathbf{X}^0_{\\mathbb{C}_p}$ in his $p$-adic Simpson correspondence. This paper intends to study the conjecture in the characteristic $p$ setting. Among other results, we show that isomorphism classes of"},"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":"1210.8280","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-10-31T10:03:28Z","cross_cats_sorted":[],"title_canon_sha256":"a8ac0a1f7272edee6940b8ce2b67ec40c5a8b0379bdf0b76209f62c1bd260193","abstract_canon_sha256":"28a21b8689e0e806d666c9bbc1fec476973ef40ba953f35f32c2322db8e0f09c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:06:34.649619Z","signature_b64":"AJL3YP914SixZO7SuPqrJNmDjPebaHDlMiDgkuP9lxkMY+4GD9+MJwLi0VPnm1Z5G+rNeVsjlrOo1wdLPQPvBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a0d9b9eacef1eb99bbcf2ac528b6503d60a23a21ff268bd74e48d401d124b87","last_reissued_at":"2026-05-18T03:06:34.648854Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:06:34.648854Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Semistable Higgs bundles and representations of algebraic fundamental groups: Positive characteristic case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Guitang Lan, Kang Zuo, Mao Sheng","submitted_at":"2012-10-31T10:03:28Z","abstract_excerpt":"Let $k$ be an algebraic closure of finite fields with odd characteristic $p$ and a smooth projective scheme $\\mathbf{X}/W(k)$. Let $\\mathbf{X}^0$ be its generic fiber and $X$ the closed fiber. For $\\mathbf{X}^0$ a curve Faltings conjectured that semistable Higgs bundles of slope zero over $\\mathbf{X}^0_{\\mathbb{C}_p}$ correspond to genuine representations of the algebraic fundamental group of $\\mathbf{X}^0_{\\mathbb{C}_p}$ in his $p$-adic Simpson correspondence. This paper intends to study the conjecture in the characteristic $p$ setting. Among other results, we show that isomorphism classes of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.8280","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":"1210.8280","created_at":"2026-05-18T03:06:34.648977+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.8280v3","created_at":"2026-05-18T03:06:34.648977+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.8280","created_at":"2026-05-18T03:06:34.648977+00:00"},{"alias_kind":"pith_short_12","alias_value":"NIGZXHVM54PL","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_16","alias_value":"NIGZXHVM54PLTG54","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_8","alias_value":"NIGZXHVM","created_at":"2026-05-18T12:27:16.716162+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/NIGZXHVM54PLTG546KWFFC3FAP","json":"https://pith.science/pith/NIGZXHVM54PLTG546KWFFC3FAP.json","graph_json":"https://pith.science/api/pith-number/NIGZXHVM54PLTG546KWFFC3FAP/graph.json","events_json":"https://pith.science/api/pith-number/NIGZXHVM54PLTG546KWFFC3FAP/events.json","paper":"https://pith.science/paper/NIGZXHVM"},"agent_actions":{"view_html":"https://pith.science/pith/NIGZXHVM54PLTG546KWFFC3FAP","download_json":"https://pith.science/pith/NIGZXHVM54PLTG546KWFFC3FAP.json","view_paper":"https://pith.science/paper/NIGZXHVM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.8280&json=true","fetch_graph":"https://pith.science/api/pith-number/NIGZXHVM54PLTG546KWFFC3FAP/graph.json","fetch_events":"https://pith.science/api/pith-number/NIGZXHVM54PLTG546KWFFC3FAP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NIGZXHVM54PLTG546KWFFC3FAP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NIGZXHVM54PLTG546KWFFC3FAP/action/storage_attestation","attest_author":"https://pith.science/pith/NIGZXHVM54PLTG546KWFFC3FAP/action/author_attestation","sign_citation":"https://pith.science/pith/NIGZXHVM54PLTG546KWFFC3FAP/action/citation_signature","submit_replication":"https://pith.science/pith/NIGZXHVM54PLTG546KWFFC3FAP/action/replication_record"}},"created_at":"2026-05-18T03:06:34.648977+00:00","updated_at":"2026-05-18T03:06:34.648977+00:00"}