{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:2YPANVWK32SXCXSNAU77MOCLBR","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":"74fa4b89b303fd4bbce580d1d03f4a1520d73b0bd02c8b90a3f1b00e72dd6b1b","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-03-08T07:03:36Z","title_canon_sha256":"2363c3aa0e210fddac4c1db089b090b9ada0bb919307fa1ab2f9ed1aca83ddf9"},"schema_version":"1.0","source":{"id":"1303.1895","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.1895","created_at":"2026-05-18T00:36:10Z"},{"alias_kind":"arxiv_version","alias_value":"1303.1895v3","created_at":"2026-05-18T00:36:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1895","created_at":"2026-05-18T00:36:10Z"},{"alias_kind":"pith_short_12","alias_value":"2YPANVWK32SX","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"2YPANVWK32SXCXSN","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"2YPANVWK","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:568a66b096d69f6511c11a2c81f036f1163913a52f8f3d5d9ddab03a59727033","target":"graph","created_at":"2026-05-18T00:36:10Z","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":"We show that the distance function under the Ricci flow is uniformly continuous in the time direction, assuming only the scalar curvature is bounded.","authors_text":"Gang Tian, Qi S. Zhang","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-03-08T07:03:36Z","title":"On the distance control problem in Ricci flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1895","kind":"arxiv","version":3},"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:b33649c503a41237323ed90133156480f9361b7990523d1d9967023f8ac084c1","target":"record","created_at":"2026-05-18T00:36:10Z","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":"74fa4b89b303fd4bbce580d1d03f4a1520d73b0bd02c8b90a3f1b00e72dd6b1b","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-03-08T07:03:36Z","title_canon_sha256":"2363c3aa0e210fddac4c1db089b090b9ada0bb919307fa1ab2f9ed1aca83ddf9"},"schema_version":"1.0","source":{"id":"1303.1895","kind":"arxiv","version":3}},"canonical_sha256":"d61e06d6cadea5715e4d053ff6384b0c7efb6d38832a76d05bdebbec8321708d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d61e06d6cadea5715e4d053ff6384b0c7efb6d38832a76d05bdebbec8321708d","first_computed_at":"2026-05-18T00:36:10.363001Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:10.363001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cRET9VXWoAF/3XuUAeavjine48PGGU0RBSJsZhY14ZLiuQ0eex+K8BwtmNMCztpWAJsbOUKekdOLEYt6A9SwBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:10.363483Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.1895","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b33649c503a41237323ed90133156480f9361b7990523d1d9967023f8ac084c1","sha256:568a66b096d69f6511c11a2c81f036f1163913a52f8f3d5d9ddab03a59727033"],"state_sha256":"7bfd83a2358d7e62fd2180ce60de5f6a9859c64bb8e1233177c51f3bdc4f8c6d"}