{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GDCZOBZCIUJ2LHGN2Q5M74N4YO","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0a6fc6e34bed7345243e5a8f23caaed2b6ba36f577efe167f79c90bc2744d995","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-23T10:09:17Z","title_canon_sha256":"c9448a58c01bd974be9b557804d7e9f0968e8687f1d08b107eaa33ff5998f297"},"schema_version":"1.0","source":{"id":"1412.7303","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.7303","created_at":"2026-05-18T00:23:19Z"},{"alias_kind":"arxiv_version","alias_value":"1412.7303v3","created_at":"2026-05-18T00:23:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7303","created_at":"2026-05-18T00:23:19Z"},{"alias_kind":"pith_short_12","alias_value":"GDCZOBZCIUJ2","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GDCZOBZCIUJ2LHGN","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GDCZOBZC","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:1e590db94a702198142c5002cd005554fddd41fc67014d565f5dfce56d9d5507","target":"graph","created_at":"2026-05-18T00:23:19Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We give a new proof of the Mordell-Lang conjecture in positive characteristic, in the situation where the variety under scrutiny is a smooth subvariety of an abelian variety. Our proof is based on the theory of semistable sheaves in positive characteristic, in particular on Langer's theorem that the Harder-Narasimhan filtration of sheaves becomes strongly semistable after a finite number of iterations of Frobenius pull-backs. The interest of this proof is that it provides simple effective bounds (depending on the degree of the canonical line bundle) for the degree of the isotrivial finite cove","authors_text":"Damian R\\\"ossler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-23T10:09:17Z","title":"Strongly semistable sheaves and the Mordell-Lang conjecture over function fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7303","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d5d20f6ef2794e1b69fb0df2c8b48c31299d1611ccc548d93c54d076cb4519a5","target":"record","created_at":"2026-05-18T00:23:19Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"0a6fc6e34bed7345243e5a8f23caaed2b6ba36f577efe167f79c90bc2744d995","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-12-23T10:09:17Z","title_canon_sha256":"c9448a58c01bd974be9b557804d7e9f0968e8687f1d08b107eaa33ff5998f297"},"schema_version":"1.0","source":{"id":"1412.7303","kind":"arxiv","version":3}},"canonical_sha256":"30c59707224513a59ccdd43acff1bcc3916643786667218639a0fce0d5b0aee5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30c59707224513a59ccdd43acff1bcc3916643786667218639a0fce0d5b0aee5","first_computed_at":"2026-05-18T00:23:19.625139Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:19.625139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jucriEA/EV9ELflc9HA8RNdaVvjNLagcnRDXLu2jIMu5PCx5UHAxx4kVmhwPu/cDzDlC6j5v+/AJtNFUBcIxCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:19.625786Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.7303","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5d20f6ef2794e1b69fb0df2c8b48c31299d1611ccc548d93c54d076cb4519a5","sha256:1e590db94a702198142c5002cd005554fddd41fc67014d565f5dfce56d9d5507"],"state_sha256":"6a148e8b0fa23bda526f26c87191c2346a963951a670d9ffffb310da0dfb883c"}