{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:YML7RXZHTBNJEGDAINALAD4ELY","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":"6df60a07d6a3dae72685d67daa9ecb75cac1a05f69b6cd43b191ed5078faa82e","cross_cats_sorted":["math.AG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2023-12-21T15:02:19Z","title_canon_sha256":"2ab76b7458e97379cbc838fcdf4bee4faddba66e8113e494a3cb84bd04966820"},"schema_version":"1.0","source":{"id":"2312.13914","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.13914","created_at":"2026-07-05T11:46:33Z"},{"alias_kind":"arxiv_version","alias_value":"2312.13914v2","created_at":"2026-07-05T11:46:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.13914","created_at":"2026-07-05T11:46:33Z"},{"alias_kind":"pith_short_12","alias_value":"YML7RXZHTBNJ","created_at":"2026-07-05T11:46:33Z"},{"alias_kind":"pith_short_16","alias_value":"YML7RXZHTBNJEGDA","created_at":"2026-07-05T11:46:33Z"},{"alias_kind":"pith_short_8","alias_value":"YML7RXZH","created_at":"2026-07-05T11:46:33Z"}],"graph_snapshots":[{"event_id":"sha256:94e6f129067325de7e88e6cdcdb4d577cd86b778e7a8ff9528a8a3261a006bba","target":"graph","created_at":"2026-07-05T11:46:33Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2312.13914/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We formulate a conjecture on the number of integral points of bounded height on log Fano varieties in analogy with Manin's conjecture on the number of rational points of bounded height on Fano varieties. We also give a prediction for the leading constant which is similar to Peyre's interpretation of the leading constant in Manin's conjecture. We give evidence for our conjecture by proving it for toric varieties. The proof is based on harmonic analysis on universal torsors.","authors_text":"Tim Santens","cross_cats":["math.AG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2023-12-21T15:02:19Z","title":"Manin's conjecture for integral points on toric varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.13914","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":"sha256:21b9ad26166716bce65d024feff05d20ff0e11f08739aad9faa1372f6571e636","target":"record","created_at":"2026-07-05T11:46:33Z","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":"6df60a07d6a3dae72685d67daa9ecb75cac1a05f69b6cd43b191ed5078faa82e","cross_cats_sorted":["math.AG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2023-12-21T15:02:19Z","title_canon_sha256":"2ab76b7458e97379cbc838fcdf4bee4faddba66e8113e494a3cb84bd04966820"},"schema_version":"1.0","source":{"id":"2312.13914","kind":"arxiv","version":2}},"canonical_sha256":"c317f8df27985a9218604340b00f845e36485684aae8a4044fcdfe1f08040d88","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c317f8df27985a9218604340b00f845e36485684aae8a4044fcdfe1f08040d88","first_computed_at":"2026-07-05T11:46:33.775242Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:46:33.775242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uHfvq1JIAvEEBdDXpV7Kh3LdINIBWArbEE13Y8AnjpJt8t9rUSZ8ZkAtocij3NaSPe9LjsVI4Fj+LDGjvRVSBg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:46:33.775733Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.13914","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21b9ad26166716bce65d024feff05d20ff0e11f08739aad9faa1372f6571e636","sha256:94e6f129067325de7e88e6cdcdb4d577cd86b778e7a8ff9528a8a3261a006bba"],"state_sha256":"72803cc4a092222f43e88b06032df8b5735f402ba4d25fecad0ae875a2df612d"}