{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:JK4EELW2E4XIICQXHWAH4XQWJF","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":"f8028ab3a1c652d81ecd9895e5538d583f2dadb2f386eb853b12d6bd23988dbe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-01-19T15:32:42Z","title_canon_sha256":"561c2aaebcd3df65b08a94b6d407d6a83a337a70595f27892a6723174c9ddfed"},"schema_version":"1.0","source":{"id":"1601.04955","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04955","created_at":"2026-05-18T01:22:31Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04955v1","created_at":"2026-05-18T01:22:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04955","created_at":"2026-05-18T01:22:31Z"},{"alias_kind":"pith_short_12","alias_value":"JK4EELW2E4XI","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JK4EELW2E4XIICQX","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JK4EELW2","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:ad09338f2bc0c0c8d39e3f26e700a1571b39b802ec214be0a42396f869379e6b","target":"graph","created_at":"2026-05-18T01:22:31Z","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":"Let $(X ,x_0)$ be a pointed smooth proper variety defined over an algebraically closed field. The Albanese morphism for $(X ,x_0)$ produces a homomorphism from the abelianization of the $F$-divided fundamental group scheme of $X$ to the $F$-divided fundamental group of the Albanese variety of $X$. We prove that this homomorphism is surjective with finite kernel. The kernel is also described.","authors_text":"Indranil Biswas, Jo\\~ao Pedro P. dos Santos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-01-19T15:32:42Z","title":"Abelianization of the F-divided fundamental group scheme"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04955","kind":"arxiv","version":1},"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:cc6bcdcfe1d8a5bb9c7f3d8aab43419c29eb9020ec4917063fbea1e64ac99af7","target":"record","created_at":"2026-05-18T01:22:31Z","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":"f8028ab3a1c652d81ecd9895e5538d583f2dadb2f386eb853b12d6bd23988dbe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-01-19T15:32:42Z","title_canon_sha256":"561c2aaebcd3df65b08a94b6d407d6a83a337a70595f27892a6723174c9ddfed"},"schema_version":"1.0","source":{"id":"1601.04955","kind":"arxiv","version":1}},"canonical_sha256":"4ab8422eda272e840a173d807e5e16497271e61125bfeb18a8bb6841c060ef67","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ab8422eda272e840a173d807e5e16497271e61125bfeb18a8bb6841c060ef67","first_computed_at":"2026-05-18T01:22:31.476149Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:31.476149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2FM4WQfa6zWw8gtUOh6BFgTbfP1nQZm4EoqLO6LCn7jNIKGHZEVJe1aVuFaXg80MdFg59uxOaLNYxcErV2xDAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:31.476730Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.04955","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc6bcdcfe1d8a5bb9c7f3d8aab43419c29eb9020ec4917063fbea1e64ac99af7","sha256:ad09338f2bc0c0c8d39e3f26e700a1571b39b802ec214be0a42396f869379e6b"],"state_sha256":"545c189fbd58338e79ecdce22f43d5dc9a554755e5988d7b6d76bc2c8fcd806f"}