{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:ANC3BK7PUW3UOM5IBZ7JGN5B3Z","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":"35031aa818a5fb915be33083ac532b8b0ea1381856a1b5750c771e6d35247c80","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2006-08-21T07:50:02Z","title_canon_sha256":"54e83ee59415940ccab7952bbd670bb56f4cd69810c88d9457ce9a4352e7c92c"},"schema_version":"1.0","source":{"id":"math/0608512","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0608512","created_at":"2026-07-04T14:56:08Z"},{"alias_kind":"arxiv_version","alias_value":"math/0608512v2","created_at":"2026-07-04T14:56:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0608512","created_at":"2026-07-04T14:56:08Z"},{"alias_kind":"pith_short_12","alias_value":"ANC3BK7PUW3U","created_at":"2026-07-04T14:56:08Z"},{"alias_kind":"pith_short_16","alias_value":"ANC3BK7PUW3UOM5I","created_at":"2026-07-04T14:56:08Z"},{"alias_kind":"pith_short_8","alias_value":"ANC3BK7P","created_at":"2026-07-04T14:56:08Z"}],"graph_snapshots":[{"event_id":"sha256:2077ecf2141b5ae537c39e8e1ceacb07dde962a540d35c13cea6998ede010a4f","target":"graph","created_at":"2026-07-04T14:56:08Z","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/math/0608512/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We formulate a comparison of minimal log discrepancies of a variety and its ambient space with appropriate boundaries in terms of motivic integration. It was obtained also by Ein and Musta\\c{t}\\v{a} independently.","authors_text":"Masayuki Kawakita","cross_cats":[],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2006-08-21T07:50:02Z","title":"On a comparison of minimal log discrepancies in terms of motivic integration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0608512","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:fe8cba3fd3d0de43cd1aa41fe017ec35d2851eca99315bc1c4d00058c73502cc","target":"record","created_at":"2026-07-04T14:56:08Z","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":"35031aa818a5fb915be33083ac532b8b0ea1381856a1b5750c771e6d35247c80","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2006-08-21T07:50:02Z","title_canon_sha256":"54e83ee59415940ccab7952bbd670bb56f4cd69810c88d9457ce9a4352e7c92c"},"schema_version":"1.0","source":{"id":"math/0608512","kind":"arxiv","version":2}},"canonical_sha256":"0345b0abefa5b74733a80e7e9337a1de670216e5dbe6e5aff52da6e5137961d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0345b0abefa5b74733a80e7e9337a1de670216e5dbe6e5aff52da6e5137961d7","first_computed_at":"2026-07-04T14:56:08.134399Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:56:08.134399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YURKZzCXgdv6wqe5Qzye82XVWJ+ezzLESC93JWjXSfV3/Lxbq0kPQh0d7gnFUrThwHmbid25IYScrk9K6YXLCA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:56:08.134786Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0608512","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe8cba3fd3d0de43cd1aa41fe017ec35d2851eca99315bc1c4d00058c73502cc","sha256:2077ecf2141b5ae537c39e8e1ceacb07dde962a540d35c13cea6998ede010a4f"],"state_sha256":"254d768affe1dc0d06443f1b821adfc4102c3ccdaa83506a1e7bad3e01eacc0f"}