{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:F6BCN64M3WYPNOKLITPY7VY53L","short_pith_number":"pith:F6BCN64M","schema_version":"1.0","canonical_sha256":"2f8226fb8cddb0f6b94b44df8fd71ddad419d67639dd05e6918c465af3113355","source":{"kind":"arxiv","id":"1612.00208","version":2},"attestation_state":"computed","paper":{"title":"$F$-divided sheaves trivialized by dominant maps are essentially finite","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Fabio Tonini, Lei Zhang","submitted_at":"2016-12-01T11:41:57Z","abstract_excerpt":"By a result of Biswas and Dos Santos, on a smooth and projective variety over an algebraically closed field, a vector bundle trivialized by a proper and surjective map is essentially finite, that is it corresponds to a representation of the Nori fundamental group scheme. In this paper we obtain similar results for non-proper non-smooth algebraic stacks over arbitrary fields of characteristic $p>0$. As by-product we have the following partial generalization of the Biswas-Dos Santos' result in positive characteristic: on a pseudo-proper and inflexible stack of finite type over $k$ a vector bundl"},"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":"1612.00208","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-12-01T11:41:57Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"f69d96d06d74b573b6051d9b860956035809308a97da41fb509a344739f81efe","abstract_canon_sha256":"d38151fe50cf1d677e8625f274e5185746306d0d631e558c279e45f36600a26e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:22.775432Z","signature_b64":"lCfDGyAQOh8LTQ004AHQYLBFxErFlHzTRZ5KPk8E75KvFWqMa+srNtlTMqM4oSwXClFHoiGZodlyoCzFMIdmBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f8226fb8cddb0f6b94b44df8fd71ddad419d67639dd05e6918c465af3113355","last_reissued_at":"2026-05-18T00:00:22.774956Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:22.774956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$F$-divided sheaves trivialized by dominant maps are essentially finite","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Fabio Tonini, Lei Zhang","submitted_at":"2016-12-01T11:41:57Z","abstract_excerpt":"By a result of Biswas and Dos Santos, on a smooth and projective variety over an algebraically closed field, a vector bundle trivialized by a proper and surjective map is essentially finite, that is it corresponds to a representation of the Nori fundamental group scheme. In this paper we obtain similar results for non-proper non-smooth algebraic stacks over arbitrary fields of characteristic $p>0$. As by-product we have the following partial generalization of the Biswas-Dos Santos' result in positive characteristic: on a pseudo-proper and inflexible stack of finite type over $k$ a vector bundl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.00208","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":"1612.00208","created_at":"2026-05-18T00:00:22.775023+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.00208v2","created_at":"2026-05-18T00:00:22.775023+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.00208","created_at":"2026-05-18T00:00:22.775023+00:00"},{"alias_kind":"pith_short_12","alias_value":"F6BCN64M3WYP","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_16","alias_value":"F6BCN64M3WYPNOKL","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_8","alias_value":"F6BCN64M","created_at":"2026-05-18T12:30:15.759754+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/F6BCN64M3WYPNOKLITPY7VY53L","json":"https://pith.science/pith/F6BCN64M3WYPNOKLITPY7VY53L.json","graph_json":"https://pith.science/api/pith-number/F6BCN64M3WYPNOKLITPY7VY53L/graph.json","events_json":"https://pith.science/api/pith-number/F6BCN64M3WYPNOKLITPY7VY53L/events.json","paper":"https://pith.science/paper/F6BCN64M"},"agent_actions":{"view_html":"https://pith.science/pith/F6BCN64M3WYPNOKLITPY7VY53L","download_json":"https://pith.science/pith/F6BCN64M3WYPNOKLITPY7VY53L.json","view_paper":"https://pith.science/paper/F6BCN64M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.00208&json=true","fetch_graph":"https://pith.science/api/pith-number/F6BCN64M3WYPNOKLITPY7VY53L/graph.json","fetch_events":"https://pith.science/api/pith-number/F6BCN64M3WYPNOKLITPY7VY53L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F6BCN64M3WYPNOKLITPY7VY53L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F6BCN64M3WYPNOKLITPY7VY53L/action/storage_attestation","attest_author":"https://pith.science/pith/F6BCN64M3WYPNOKLITPY7VY53L/action/author_attestation","sign_citation":"https://pith.science/pith/F6BCN64M3WYPNOKLITPY7VY53L/action/citation_signature","submit_replication":"https://pith.science/pith/F6BCN64M3WYPNOKLITPY7VY53L/action/replication_record"}},"created_at":"2026-05-18T00:00:22.775023+00:00","updated_at":"2026-05-18T00:00:22.775023+00:00"}