{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:HGQ2TSVSQ3TDP7AUJ2IBPUJYUJ","short_pith_number":"pith:HGQ2TSVS","canonical_record":{"source":{"id":"1011.3967","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-11-17T14:18:15Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"9a6bf91a41a67449f256b8ee2444307f95977ea9afc9921e9b2e1e87c849788b","abstract_canon_sha256":"70c4e21eeeafc80bb210313d70addc66c0f9a07ed180911a1e8daf2b96e8f9f9"},"schema_version":"1.0"},"canonical_sha256":"39a1a9cab286e637fc144e9017d138a260b4a66dfea7a74adee90d9753d88eb3","source":{"kind":"arxiv","id":"1011.3967","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.3967","created_at":"2026-05-18T04:18:54Z"},{"alias_kind":"arxiv_version","alias_value":"1011.3967v2","created_at":"2026-05-18T04:18:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3967","created_at":"2026-05-18T04:18:54Z"},{"alias_kind":"pith_short_12","alias_value":"HGQ2TSVSQ3TD","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HGQ2TSVSQ3TDP7AU","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HGQ2TSVS","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:HGQ2TSVSQ3TDP7AUJ2IBPUJYUJ","target":"record","payload":{"canonical_record":{"source":{"id":"1011.3967","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-11-17T14:18:15Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"9a6bf91a41a67449f256b8ee2444307f95977ea9afc9921e9b2e1e87c849788b","abstract_canon_sha256":"70c4e21eeeafc80bb210313d70addc66c0f9a07ed180911a1e8daf2b96e8f9f9"},"schema_version":"1.0"},"canonical_sha256":"39a1a9cab286e637fc144e9017d138a260b4a66dfea7a74adee90d9753d88eb3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:54.587189Z","signature_b64":"AceaAOsm6LdRfKVpLEVjq0wv64wRCF3MrSXBSYCOTNqUC8oabd5bKzI4jN7/RFyW4x8V4BAK/aDCB+zpaOX5CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"39a1a9cab286e637fc144e9017d138a260b4a66dfea7a74adee90d9753d88eb3","last_reissued_at":"2026-05-18T04:18:54.586838Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:54.586838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.3967","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":"2026-05-18T04:18:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rcJHCH0yphu+VHtuScPlT7aLoqIHYfGW4dvmXzYRqz1aN1KPDktTmrq4JbPIrOSXIGYYhOzIp5dZ/jKdSyyIBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:10:46.424999Z"},"content_sha256":"4362c93c1746438c9cb819b106279beec503fa292a54cc9a27a9934693335e55","schema_version":"1.0","event_id":"sha256:4362c93c1746438c9cb819b106279beec503fa292a54cc9a27a9934693335e55"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:HGQ2TSVSQ3TDP7AUJ2IBPUJYUJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A finiteness property of graded sequences of ideals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Mattias Jonsson, Mircea Mustata","submitted_at":"2010-11-17T14:18:15Z","abstract_excerpt":"Given a graded sequence of ideals (a_m) on a smooth variety $X$ having finite log canonical threshold, suppose that for every m we have a divisor E_m over X that computes the log canonical threshold of a_m, and such that the log discrepancies of the divisors E_m are bounded. We show that in this case the set of divisors E_m is finite."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3967","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":""},"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":"2026-05-18T04:18:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YuPm/KgH8qlYePJGlF24EkDtcSCddwWGIZnhL/Yxwo6EVb0mzCzdW6GyAUzmdrnclXk7jybZU2ZVjGfWzlqUAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:10:46.425683Z"},"content_sha256":"fc4ff768e0618056da2f85cf2b236a36c0822ff9b96acf8a6ed50c4046cd9760","schema_version":"1.0","event_id":"sha256:fc4ff768e0618056da2f85cf2b236a36c0822ff9b96acf8a6ed50c4046cd9760"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HGQ2TSVSQ3TDP7AUJ2IBPUJYUJ/bundle.json","state_url":"https://pith.science/pith/HGQ2TSVSQ3TDP7AUJ2IBPUJYUJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HGQ2TSVSQ3TDP7AUJ2IBPUJYUJ/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":"2026-05-27T09:10:46Z","links":{"resolver":"https://pith.science/pith/HGQ2TSVSQ3TDP7AUJ2IBPUJYUJ","bundle":"https://pith.science/pith/HGQ2TSVSQ3TDP7AUJ2IBPUJYUJ/bundle.json","state":"https://pith.science/pith/HGQ2TSVSQ3TDP7AUJ2IBPUJYUJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HGQ2TSVSQ3TDP7AUJ2IBPUJYUJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:HGQ2TSVSQ3TDP7AUJ2IBPUJYUJ","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":"70c4e21eeeafc80bb210313d70addc66c0f9a07ed180911a1e8daf2b96e8f9f9","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-11-17T14:18:15Z","title_canon_sha256":"9a6bf91a41a67449f256b8ee2444307f95977ea9afc9921e9b2e1e87c849788b"},"schema_version":"1.0","source":{"id":"1011.3967","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.3967","created_at":"2026-05-18T04:18:54Z"},{"alias_kind":"arxiv_version","alias_value":"1011.3967v2","created_at":"2026-05-18T04:18:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.3967","created_at":"2026-05-18T04:18:54Z"},{"alias_kind":"pith_short_12","alias_value":"HGQ2TSVSQ3TD","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HGQ2TSVSQ3TDP7AU","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HGQ2TSVS","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:fc4ff768e0618056da2f85cf2b236a36c0822ff9b96acf8a6ed50c4046cd9760","target":"graph","created_at":"2026-05-18T04:18:54Z","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":"Given a graded sequence of ideals (a_m) on a smooth variety $X$ having finite log canonical threshold, suppose that for every m we have a divisor E_m over X that computes the log canonical threshold of a_m, and such that the log discrepancies of the divisors E_m are bounded. We show that in this case the set of divisors E_m is finite.","authors_text":"Mattias Jonsson, Mircea Mustata","cross_cats":["math.AC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-11-17T14:18:15Z","title":"A finiteness property of graded sequences of ideals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3967","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":"sha256:4362c93c1746438c9cb819b106279beec503fa292a54cc9a27a9934693335e55","target":"record","created_at":"2026-05-18T04:18:54Z","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":"70c4e21eeeafc80bb210313d70addc66c0f9a07ed180911a1e8daf2b96e8f9f9","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-11-17T14:18:15Z","title_canon_sha256":"9a6bf91a41a67449f256b8ee2444307f95977ea9afc9921e9b2e1e87c849788b"},"schema_version":"1.0","source":{"id":"1011.3967","kind":"arxiv","version":2}},"canonical_sha256":"39a1a9cab286e637fc144e9017d138a260b4a66dfea7a74adee90d9753d88eb3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39a1a9cab286e637fc144e9017d138a260b4a66dfea7a74adee90d9753d88eb3","first_computed_at":"2026-05-18T04:18:54.586838Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:54.586838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AceaAOsm6LdRfKVpLEVjq0wv64wRCF3MrSXBSYCOTNqUC8oabd5bKzI4jN7/RFyW4x8V4BAK/aDCB+zpaOX5CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:54.587189Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.3967","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4362c93c1746438c9cb819b106279beec503fa292a54cc9a27a9934693335e55","sha256:fc4ff768e0618056da2f85cf2b236a36c0822ff9b96acf8a6ed50c4046cd9760"],"state_sha256":"2ee3e628780bd162f91ac4867ba66165556641b940395caaa68cc57b6c083676"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RjuoHFcRcRQgqzoslenKArRaq4mvjuiyUQZKjt0JRPYjTnWn+L9Uf0YFyjkUcBShuyg74Oj6Vp7wfHRtVY/OAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T09:10:46.429148Z","bundle_sha256":"92f05ab8b723281a27d3b251ad4b57cefa1842feff605da9edecad6dcd7a157e"}}