{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DLLRE3GPL7HNWMFFT3JB5K3SOR","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":"c3c22df5b6de23d5d72fed0300d3d05e375f8596032607baa27a3b4e8e4b87cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-05-17T14:55:10Z","title_canon_sha256":"e56f6ce964b26088729266501f3336c1e267e78b88e48b42f372efe3c89764c7"},"schema_version":"1.0","source":{"id":"1605.05198","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.05198","created_at":"2026-05-18T01:14:37Z"},{"alias_kind":"arxiv_version","alias_value":"1605.05198v1","created_at":"2026-05-18T01:14:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.05198","created_at":"2026-05-18T01:14:37Z"},{"alias_kind":"pith_short_12","alias_value":"DLLRE3GPL7HN","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DLLRE3GPL7HNWMFF","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DLLRE3GP","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:776d43525179e89ced86668cd07856529fecfa4a5bf6f7b93854a18eaad8af82","target":"graph","created_at":"2026-05-18T01:14:37Z","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 prove a sharp lower bound for the essential minimum of a non-translate variety in certain abelian varieties. This uses and generalises a result of Galateau. Our bound is a new step in direction of an abelian analogue by David and Philippon of a toric conjecture of Amoroso and David and has applications in the framework of anomalous intersections.","authors_text":"Evelina Viada, Francesco Veneziano, Sara Checcoli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-05-17T14:55:10Z","title":"A sharp Bogomolov-type bound"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.05198","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":"sha256:285469e66680624ba17355142d613660a561738d27b2cef3954afe07513e1069","target":"record","created_at":"2026-05-18T01:14:37Z","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":"c3c22df5b6de23d5d72fed0300d3d05e375f8596032607baa27a3b4e8e4b87cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-05-17T14:55:10Z","title_canon_sha256":"e56f6ce964b26088729266501f3336c1e267e78b88e48b42f372efe3c89764c7"},"schema_version":"1.0","source":{"id":"1605.05198","kind":"arxiv","version":1}},"canonical_sha256":"1ad7126ccf5fcedb30a59ed21eab7274526eb0c325bbbdba1ca825a982b709e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ad7126ccf5fcedb30a59ed21eab7274526eb0c325bbbdba1ca825a982b709e8","first_computed_at":"2026-05-18T01:14:37.120813Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:37.120813Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vV0GtUzXEj8RZr76ISoRrO5BY/BwFQQaY0yShtCCSbGIkIF5Nhmtxnmx1/+PuC8Kdd00rrXuKC7tDqo22V9GDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:37.121517Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.05198","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:285469e66680624ba17355142d613660a561738d27b2cef3954afe07513e1069","sha256:776d43525179e89ced86668cd07856529fecfa4a5bf6f7b93854a18eaad8af82"],"state_sha256":"c019acbf85584675e3b1175c24215c6a3958dd3421e9cf35fe750aac2928b513"}