{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:EGO6IMGF6TOH5KF6VPAHUAV5BU","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":"dfbccec712dfc5ec2446535190aec62d285f7f96e7687cc4be4be6d3fb23c649","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.DG","submitted_at":"2018-03-04T18:37:40Z","title_canon_sha256":"8dd9796507ac5965b25dee332e89ad897af4a362eaae4fb30886f2e1ceecb9e6"},"schema_version":"1.0","source":{"id":"1803.01399","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.01399","created_at":"2026-05-18T00:22:00Z"},{"alias_kind":"arxiv_version","alias_value":"1803.01399v1","created_at":"2026-05-18T00:22:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.01399","created_at":"2026-05-18T00:22:00Z"},{"alias_kind":"pith_short_12","alias_value":"EGO6IMGF6TOH","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EGO6IMGF6TOH5KF6","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EGO6IMGF","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:582e172e239570ca5f9e0d4e3f95fbdf938c6107aef586b32f3a805d06f3fb90","target":"graph","created_at":"2026-05-18T00:22:00Z","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 construct ancient solutions to Curve Shortening in the plane whose total curvature is uniformly bounded by gluing together an arbitrary chain of given Grim Reapers along their common asymptotes.","authors_text":"Qian You, Sigurd Angenent","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.DG","submitted_at":"2018-03-04T18:37:40Z","title":"Ancient Solutions to Curve Shortening with Finite Total Curvature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.01399","kind":"arxiv","version":1},"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":"sha256:389e3cdfe4fc57d10f409a87181d3a0c87d36f61f0c2c35e905596f2c491f904","target":"record","created_at":"2026-05-18T00:22:00Z","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":"dfbccec712dfc5ec2446535190aec62d285f7f96e7687cc4be4be6d3fb23c649","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.DG","submitted_at":"2018-03-04T18:37:40Z","title_canon_sha256":"8dd9796507ac5965b25dee332e89ad897af4a362eaae4fb30886f2e1ceecb9e6"},"schema_version":"1.0","source":{"id":"1803.01399","kind":"arxiv","version":1}},"canonical_sha256":"219de430c5f4dc7ea8beabc07a02bd0d34569e86e3742a39f9caef02ac3fe489","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"219de430c5f4dc7ea8beabc07a02bd0d34569e86e3742a39f9caef02ac3fe489","first_computed_at":"2026-05-18T00:22:00.743481Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:00.743481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I5BJQHLfJVwDm7i58HC4BCKwTwVLDojhggiHfCqgh85wGK1cocYMxgC0JkfUhi0cEPgyR1x+TCp0mEaAvGMjAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:00.744109Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.01399","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:389e3cdfe4fc57d10f409a87181d3a0c87d36f61f0c2c35e905596f2c491f904","sha256:582e172e239570ca5f9e0d4e3f95fbdf938c6107aef586b32f3a805d06f3fb90"],"state_sha256":"e9d54ae86b7b0517d994edb2506fce2ce396224ab6d8321d21fd2b172050da4a"}