{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:YML7RXZHTBNJEGDAINALAD4ELY","short_pith_number":"pith:YML7RXZH","canonical_record":{"source":{"id":"2312.13914","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2023-12-21T15:02:19Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"2ab76b7458e97379cbc838fcdf4bee4faddba66e8113e494a3cb84bd04966820","abstract_canon_sha256":"6df60a07d6a3dae72685d67daa9ecb75cac1a05f69b6cd43b191ed5078faa82e"},"schema_version":"1.0"},"canonical_sha256":"c317f8df27985a9218604340b00f845e36485684aae8a4044fcdfe1f08040d88","source":{"kind":"arxiv","id":"2312.13914","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:YML7RXZHTBNJEGDAINALAD4ELY","target":"record","payload":{"canonical_record":{"source":{"id":"2312.13914","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2023-12-21T15:02:19Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"2ab76b7458e97379cbc838fcdf4bee4faddba66e8113e494a3cb84bd04966820","abstract_canon_sha256":"6df60a07d6a3dae72685d67daa9ecb75cac1a05f69b6cd43b191ed5078faa82e"},"schema_version":"1.0"},"canonical_sha256":"c317f8df27985a9218604340b00f845e36485684aae8a4044fcdfe1f08040d88","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:46:33.775733Z","signature_b64":"uHfvq1JIAvEEBdDXpV7Kh3LdINIBWArbEE13Y8AnjpJt8t9rUSZ8ZkAtocij3NaSPe9LjsVI4Fj+LDGjvRVSBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c317f8df27985a9218604340b00f845e36485684aae8a4044fcdfe1f08040d88","last_reissued_at":"2026-07-05T11:46:33.775242Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:46:33.775242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2312.13914","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:46:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y7GMcZyV36hCnqWM7sIQkujQbLYjVc8wRJSmBEEahY9EqiMR6luK9GttXtqFmTUA1U+aWs4t8dvgFHUB3Ng5BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T22:16:26.820481Z"},"content_sha256":"21b9ad26166716bce65d024feff05d20ff0e11f08739aad9faa1372f6571e636","schema_version":"1.0","event_id":"sha256:21b9ad26166716bce65d024feff05d20ff0e11f08739aad9faa1372f6571e636"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:YML7RXZHTBNJEGDAINALAD4ELY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Manin's conjecture for integral points on toric varieties","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Tim Santens","submitted_at":"2023-12-21T15:02:19Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.13914","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2312.13914/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:46:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yXDOMKkKjpDWj0wKPYxkGkkUo46dp0aPSv7JouGBY649MGvi/zzj3cL+VupxMicytF1zdoQakts0bXEUnyPgDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T22:16:26.821347Z"},"content_sha256":"94e6f129067325de7e88e6cdcdb4d577cd86b778e7a8ff9528a8a3261a006bba","schema_version":"1.0","event_id":"sha256:94e6f129067325de7e88e6cdcdb4d577cd86b778e7a8ff9528a8a3261a006bba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YML7RXZHTBNJEGDAINALAD4ELY/bundle.json","state_url":"https://pith.science/pith/YML7RXZHTBNJEGDAINALAD4ELY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YML7RXZHTBNJEGDAINALAD4ELY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-08T22:16:26Z","links":{"resolver":"https://pith.science/pith/YML7RXZHTBNJEGDAINALAD4ELY","bundle":"https://pith.science/pith/YML7RXZHTBNJEGDAINALAD4ELY/bundle.json","state":"https://pith.science/pith/YML7RXZHTBNJEGDAINALAD4ELY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YML7RXZHTBNJEGDAINALAD4ELY/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vhnNsZX/Tw5ZXs0Y/WIrr0YcgdTeyFgOSLvxQT6Bdz8aDITJQoHfNLq4e64474yhsR5fHnED20nb6vNElz8+Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T22:16:26.828009Z","bundle_sha256":"14fc4f1fdd4b8175f3f5651e02e50eb084cfb535685136b5ddd63d3af912db00"}}