{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:MFAEIGLRNEWA6XC2X3HVQ5F53K","short_pith_number":"pith:MFAEIGLR","schema_version":"1.0","canonical_sha256":"6140441971692c0f5c5abecf5874bdda97e211589724d5fa44e9d05452e11cbe","source":{"kind":"arxiv","id":"2302.09231","version":1},"attestation_state":"computed","paper":{"title":"An explicit infinite homotopy in nonabelian Hodge theory in positive characteristic","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Mao Sheng, Zebao Zhang","submitted_at":"2023-02-18T04:23:09Z","abstract_excerpt":"This short note is extracted from Section 3 and Appendix of the paper entitled with Intersection de Rham complexes in positive characteristic by the same named authors, where an explicit infinite homotopy from a Higgs complex to the Frobenius pushforward of the corresponding de Rham complex in positive characteristic has been provided. The verification details, which are omitted therein, are provided here."},"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":"2302.09231","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AG","submitted_at":"2023-02-18T04:23:09Z","cross_cats_sorted":[],"title_canon_sha256":"c0963e07e09a4c4720a8b511a8bd159404ee22c85639a261a58543d6dede92df","abstract_canon_sha256":"ef7fcf2b3bb025ddf4e4ca8fdd72f2b3a9e6594ccb0943dd4b2a90af8703b826"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:43:22.806915Z","signature_b64":"VyCE8xUHPjhssgV8n3Xt7wyHrtGa+5IDXstrbN8Q0yv3MueaYKyj9vKHjMPglO1WZ+K2D7pdu11jS4V+JpFBDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6140441971692c0f5c5abecf5874bdda97e211589724d5fa44e9d05452e11cbe","last_reissued_at":"2026-07-05T05:43:22.806525Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:43:22.806525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An explicit infinite homotopy in nonabelian Hodge theory in positive characteristic","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Mao Sheng, Zebao Zhang","submitted_at":"2023-02-18T04:23:09Z","abstract_excerpt":"This short note is extracted from Section 3 and Appendix of the paper entitled with Intersection de Rham complexes in positive characteristic by the same named authors, where an explicit infinite homotopy from a Higgs complex to the Frobenius pushforward of the corresponding de Rham complex in positive characteristic has been provided. The verification details, which are omitted therein, are provided here."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.09231","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/2302.09231/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":"2302.09231","created_at":"2026-07-05T05:43:22.806582+00:00"},{"alias_kind":"arxiv_version","alias_value":"2302.09231v1","created_at":"2026-07-05T05:43:22.806582+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.09231","created_at":"2026-07-05T05:43:22.806582+00:00"},{"alias_kind":"pith_short_12","alias_value":"MFAEIGLRNEWA","created_at":"2026-07-05T05:43:22.806582+00:00"},{"alias_kind":"pith_short_16","alias_value":"MFAEIGLRNEWA6XC2","created_at":"2026-07-05T05:43:22.806582+00:00"},{"alias_kind":"pith_short_8","alias_value":"MFAEIGLR","created_at":"2026-07-05T05:43:22.806582+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.15175","citing_title":"De Rham-Higgs comparison for mixed Hodge modules in positive characteristic","ref_index":1973,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MFAEIGLRNEWA6XC2X3HVQ5F53K","json":"https://pith.science/pith/MFAEIGLRNEWA6XC2X3HVQ5F53K.json","graph_json":"https://pith.science/api/pith-number/MFAEIGLRNEWA6XC2X3HVQ5F53K/graph.json","events_json":"https://pith.science/api/pith-number/MFAEIGLRNEWA6XC2X3HVQ5F53K/events.json","paper":"https://pith.science/paper/MFAEIGLR"},"agent_actions":{"view_html":"https://pith.science/pith/MFAEIGLRNEWA6XC2X3HVQ5F53K","download_json":"https://pith.science/pith/MFAEIGLRNEWA6XC2X3HVQ5F53K.json","view_paper":"https://pith.science/paper/MFAEIGLR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2302.09231&json=true","fetch_graph":"https://pith.science/api/pith-number/MFAEIGLRNEWA6XC2X3HVQ5F53K/graph.json","fetch_events":"https://pith.science/api/pith-number/MFAEIGLRNEWA6XC2X3HVQ5F53K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MFAEIGLRNEWA6XC2X3HVQ5F53K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MFAEIGLRNEWA6XC2X3HVQ5F53K/action/storage_attestation","attest_author":"https://pith.science/pith/MFAEIGLRNEWA6XC2X3HVQ5F53K/action/author_attestation","sign_citation":"https://pith.science/pith/MFAEIGLRNEWA6XC2X3HVQ5F53K/action/citation_signature","submit_replication":"https://pith.science/pith/MFAEIGLRNEWA6XC2X3HVQ5F53K/action/replication_record"}},"created_at":"2026-07-05T05:43:22.806582+00:00","updated_at":"2026-07-05T05:43:22.806582+00:00"}