{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:LMU2XGGE2DOBUCAWMHC4XVE75T","short_pith_number":"pith:LMU2XGGE","canonical_record":{"source":{"id":"0806.3700","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2008-06-23T15:02:30Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"273a7d6b91f1c8f3be130811d2d19779d3f9832c2982c3935ab6ac15a7da3ddc","abstract_canon_sha256":"6564a92d273309ec7af2209c2e313b4b6b9f1adfe56035c60c1fbf52a6f9c9e5"},"schema_version":"1.0"},"canonical_sha256":"5b29ab98c4d0dc1a081661c5cbd49fece8fe23a4dc7335ebe9dc3388e86e2f3c","source":{"kind":"arxiv","id":"0806.3700","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.3700","created_at":"2026-05-18T04:31:12Z"},{"alias_kind":"arxiv_version","alias_value":"0806.3700v2","created_at":"2026-05-18T04:31:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.3700","created_at":"2026-05-18T04:31:12Z"},{"alias_kind":"pith_short_12","alias_value":"LMU2XGGE2DOB","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"LMU2XGGE2DOBUCAW","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"LMU2XGGE","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:LMU2XGGE2DOBUCAWMHC4XVE75T","target":"record","payload":{"canonical_record":{"source":{"id":"0806.3700","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2008-06-23T15:02:30Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"273a7d6b91f1c8f3be130811d2d19779d3f9832c2982c3935ab6ac15a7da3ddc","abstract_canon_sha256":"6564a92d273309ec7af2209c2e313b4b6b9f1adfe56035c60c1fbf52a6f9c9e5"},"schema_version":"1.0"},"canonical_sha256":"5b29ab98c4d0dc1a081661c5cbd49fece8fe23a4dc7335ebe9dc3388e86e2f3c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:31:12.318972Z","signature_b64":"SHZ2kMKI0FynJG/FDKDTyH0kcRnhBBVkVvMDOQwl3P0McaRAxCAEyc3q7+YUO6lm/1lX8B7TaeJg/jifoERSBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b29ab98c4d0dc1a081661c5cbd49fece8fe23a4dc7335ebe9dc3388e86e2f3c","last_reissued_at":"2026-05-18T04:31:12.318180Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:31:12.318180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0806.3700","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":"2026-05-18T04:31:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JK1Avujt1JC6yFndPjUNO0c5EyFWxKpgYWk3V4+AhkShW0ipFOY9rJERgJsFudP0NWPsHlK82BoxrX+M+hYtBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T14:03:08.934068Z"},"content_sha256":"0a0e87f2293804337fa253f71714e9943195293010df59d5ecf422659ff67a2d","schema_version":"1.0","event_id":"sha256:0a0e87f2293804337fa253f71714e9943195293010df59d5ecf422659ff67a2d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:LMU2XGGE2DOBUCAWMHC4XVE75T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Briancon-Skoda theorem on a singular variety","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.CV","authors_text":"H{\\aa}kan Samuelsson, Jacob Sznajdman, Mats Andersson","submitted_at":"2008-06-23T15:02:30Z","abstract_excerpt":"Let $Z$ be a germ of a reduced analytic space of pure dimension. We provide an analytic proof of the uniform Briancon-Skoda theorem for the local ring $\\mathcal{O}_Z$; a result which was previously proved by Huneke by algebraic methods. For ideals with few generators we also get much sharper results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.3700","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":"2026-05-18T04:31:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b4VH1wxeS3/SksI59CAO1or7B5CaaQGs4IJg/TxRzLjmdFUS5oub7q5LsslOZYVfSHV4ejOLURD6yh9kZeyxAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T14:03:08.934680Z"},"content_sha256":"517de3085ed9544ae1aebe92b7c15372c1407c9cb4044642057c4587fa8aa6d7","schema_version":"1.0","event_id":"sha256:517de3085ed9544ae1aebe92b7c15372c1407c9cb4044642057c4587fa8aa6d7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LMU2XGGE2DOBUCAWMHC4XVE75T/bundle.json","state_url":"https://pith.science/pith/LMU2XGGE2DOBUCAWMHC4XVE75T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LMU2XGGE2DOBUCAWMHC4XVE75T/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":"2026-05-27T14:03:08Z","links":{"resolver":"https://pith.science/pith/LMU2XGGE2DOBUCAWMHC4XVE75T","bundle":"https://pith.science/pith/LMU2XGGE2DOBUCAWMHC4XVE75T/bundle.json","state":"https://pith.science/pith/LMU2XGGE2DOBUCAWMHC4XVE75T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LMU2XGGE2DOBUCAWMHC4XVE75T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:LMU2XGGE2DOBUCAWMHC4XVE75T","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":"6564a92d273309ec7af2209c2e313b4b6b9f1adfe56035c60c1fbf52a6f9c9e5","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2008-06-23T15:02:30Z","title_canon_sha256":"273a7d6b91f1c8f3be130811d2d19779d3f9832c2982c3935ab6ac15a7da3ddc"},"schema_version":"1.0","source":{"id":"0806.3700","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.3700","created_at":"2026-05-18T04:31:12Z"},{"alias_kind":"arxiv_version","alias_value":"0806.3700v2","created_at":"2026-05-18T04:31:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.3700","created_at":"2026-05-18T04:31:12Z"},{"alias_kind":"pith_short_12","alias_value":"LMU2XGGE2DOB","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"LMU2XGGE2DOBUCAW","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"LMU2XGGE","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:517de3085ed9544ae1aebe92b7c15372c1407c9cb4044642057c4587fa8aa6d7","target":"graph","created_at":"2026-05-18T04:31:12Z","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":"Let $Z$ be a germ of a reduced analytic space of pure dimension. We provide an analytic proof of the uniform Briancon-Skoda theorem for the local ring $\\mathcal{O}_Z$; a result which was previously proved by Huneke by algebraic methods. For ideals with few generators we also get much sharper results.","authors_text":"H{\\aa}kan Samuelsson, Jacob Sznajdman, Mats Andersson","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2008-06-23T15:02:30Z","title":"On the Briancon-Skoda theorem on a singular variety"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.3700","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":"sha256:0a0e87f2293804337fa253f71714e9943195293010df59d5ecf422659ff67a2d","target":"record","created_at":"2026-05-18T04:31:12Z","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":"6564a92d273309ec7af2209c2e313b4b6b9f1adfe56035c60c1fbf52a6f9c9e5","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2008-06-23T15:02:30Z","title_canon_sha256":"273a7d6b91f1c8f3be130811d2d19779d3f9832c2982c3935ab6ac15a7da3ddc"},"schema_version":"1.0","source":{"id":"0806.3700","kind":"arxiv","version":2}},"canonical_sha256":"5b29ab98c4d0dc1a081661c5cbd49fece8fe23a4dc7335ebe9dc3388e86e2f3c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b29ab98c4d0dc1a081661c5cbd49fece8fe23a4dc7335ebe9dc3388e86e2f3c","first_computed_at":"2026-05-18T04:31:12.318180Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:31:12.318180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SHZ2kMKI0FynJG/FDKDTyH0kcRnhBBVkVvMDOQwl3P0McaRAxCAEyc3q7+YUO6lm/1lX8B7TaeJg/jifoERSBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:31:12.318972Z","signed_message":"canonical_sha256_bytes"},"source_id":"0806.3700","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a0e87f2293804337fa253f71714e9943195293010df59d5ecf422659ff67a2d","sha256:517de3085ed9544ae1aebe92b7c15372c1407c9cb4044642057c4587fa8aa6d7"],"state_sha256":"5cc18195cb76158113144bd48e33f9ab1ab15de987127aae4ed8f332fd96928f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6ai6MqMVuAfohvAvJSInDWF1/qEYDU8wsAeo5qGRJ8oCLQGA56AUWmARF2mRf0jul1Mf9gFwM2bxoDJO8GqwBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T14:03:08.937852Z","bundle_sha256":"8a3f68182062eb0436cfc4f81a8cc7958d956260159bfa94ddc5ab9355946e0d"}}