{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TOO7VU3DG2OCBJW7JK4Y5JAEAH","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":"df04cf99cd8439f946c646980f650fbcdea48f0b479c92c326c09ae79f562d5d","cross_cats_sorted":["math.KT","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-10-14T06:46:33Z","title_canon_sha256":"b76f49879f7bdcdf7ac4ba8a654e084699f5acf0f287287b984bf09aa3f69fe7"},"schema_version":"1.0","source":{"id":"1610.04341","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.04341","created_at":"2026-05-18T00:18:36Z"},{"alias_kind":"arxiv_version","alias_value":"1610.04341v2","created_at":"2026-05-18T00:18:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.04341","created_at":"2026-05-18T00:18:36Z"},{"alias_kind":"pith_short_12","alias_value":"TOO7VU3DG2OC","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"TOO7VU3DG2OCBJW7","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"TOO7VU3D","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:17e1ab9060010f6ed371419d2d7fb532fb574f4c6317b621ecf3696b3141875a","target":"graph","created_at":"2026-05-18T00:18:36Z","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":"After introducing the Ogus realization of 1-motives we prove that it is a fully faithful functor. More precisely, following a framework introduced by Ogus, considering an enriched structure on the de Rham realization of 1-motives over a number field, we show that it yields a full functor by making use of an algebraicity theorem of Bost.","authors_text":"A. Bertapelle, F. Andreatta, L. Barbieri-Viale","cross_cats":["math.KT","math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-10-14T06:46:33Z","title":"Ogus realization of 1-motives"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04341","kind":"arxiv","version":2},"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":"sha256:75c298c2c40497906b28bd8d2a3c1d23de2e97fc23570ac0114cbcacf73e962e","target":"record","created_at":"2026-05-18T00:18:36Z","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":"df04cf99cd8439f946c646980f650fbcdea48f0b479c92c326c09ae79f562d5d","cross_cats_sorted":["math.KT","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-10-14T06:46:33Z","title_canon_sha256":"b76f49879f7bdcdf7ac4ba8a654e084699f5acf0f287287b984bf09aa3f69fe7"},"schema_version":"1.0","source":{"id":"1610.04341","kind":"arxiv","version":2}},"canonical_sha256":"9b9dfad363369c20a6df4ab98ea40401e273f5bf7e6ed9745cf07eb800717a6b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b9dfad363369c20a6df4ab98ea40401e273f5bf7e6ed9745cf07eb800717a6b","first_computed_at":"2026-05-18T00:18:36.362854Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:36.362854Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HrqENysqTKa1C5mti41OOht2QRE2pnHtsSGRGsDx2OnsNmHqqHJyHZ9FiA0i5162LpA8yuF80uvx642umSObAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:36.363495Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.04341","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75c298c2c40497906b28bd8d2a3c1d23de2e97fc23570ac0114cbcacf73e962e","sha256:17e1ab9060010f6ed371419d2d7fb532fb574f4c6317b621ecf3696b3141875a"],"state_sha256":"326493cd172080e0867b4779a671a4b4f94eb68a9bb13bb59e9921e8be2b170b"}