{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:EGO6IMGF6TOH5KF6VPAHUAV5BU","short_pith_number":"pith:EGO6IMGF","schema_version":"1.0","canonical_sha256":"219de430c5f4dc7ea8beabc07a02bd0d34569e86e3742a39f9caef02ac3fe489","source":{"kind":"arxiv","id":"1803.01399","version":1},"attestation_state":"computed","paper":{"title":"Ancient Solutions to Curve Shortening with Finite Total Curvature","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Qian You, Sigurd Angenent","submitted_at":"2018-03-04T18:37:40Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1803.01399","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.DG","submitted_at":"2018-03-04T18:37:40Z","cross_cats_sorted":[],"title_canon_sha256":"8dd9796507ac5965b25dee332e89ad897af4a362eaae4fb30886f2e1ceecb9e6","abstract_canon_sha256":"dfbccec712dfc5ec2446535190aec62d285f7f96e7687cc4be4be6d3fb23c649"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:00.744109Z","signature_b64":"I5BJQHLfJVwDm7i58HC4BCKwTwVLDojhggiHfCqgh85wGK1cocYMxgC0JkfUhi0cEPgyR1x+TCp0mEaAvGMjAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"219de430c5f4dc7ea8beabc07a02bd0d34569e86e3742a39f9caef02ac3fe489","last_reissued_at":"2026-05-18T00:22:00.743481Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:00.743481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ancient Solutions to Curve Shortening with Finite Total Curvature","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Qian You, Sigurd Angenent","submitted_at":"2018-03-04T18:37:40Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.01399","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1803.01399","created_at":"2026-05-18T00:22:00.743577+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.01399v1","created_at":"2026-05-18T00:22:00.743577+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.01399","created_at":"2026-05-18T00:22:00.743577+00:00"},{"alias_kind":"pith_short_12","alias_value":"EGO6IMGF6TOH","created_at":"2026-05-18T12:32:22.470017+00:00"},{"alias_kind":"pith_short_16","alias_value":"EGO6IMGF6TOH5KF6","created_at":"2026-05-18T12:32:22.470017+00:00"},{"alias_kind":"pith_short_8","alias_value":"EGO6IMGF","created_at":"2026-05-18T12:32:22.470017+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EGO6IMGF6TOH5KF6VPAHUAV5BU","json":"https://pith.science/pith/EGO6IMGF6TOH5KF6VPAHUAV5BU.json","graph_json":"https://pith.science/api/pith-number/EGO6IMGF6TOH5KF6VPAHUAV5BU/graph.json","events_json":"https://pith.science/api/pith-number/EGO6IMGF6TOH5KF6VPAHUAV5BU/events.json","paper":"https://pith.science/paper/EGO6IMGF"},"agent_actions":{"view_html":"https://pith.science/pith/EGO6IMGF6TOH5KF6VPAHUAV5BU","download_json":"https://pith.science/pith/EGO6IMGF6TOH5KF6VPAHUAV5BU.json","view_paper":"https://pith.science/paper/EGO6IMGF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.01399&json=true","fetch_graph":"https://pith.science/api/pith-number/EGO6IMGF6TOH5KF6VPAHUAV5BU/graph.json","fetch_events":"https://pith.science/api/pith-number/EGO6IMGF6TOH5KF6VPAHUAV5BU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EGO6IMGF6TOH5KF6VPAHUAV5BU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EGO6IMGF6TOH5KF6VPAHUAV5BU/action/storage_attestation","attest_author":"https://pith.science/pith/EGO6IMGF6TOH5KF6VPAHUAV5BU/action/author_attestation","sign_citation":"https://pith.science/pith/EGO6IMGF6TOH5KF6VPAHUAV5BU/action/citation_signature","submit_replication":"https://pith.science/pith/EGO6IMGF6TOH5KF6VPAHUAV5BU/action/replication_record"}},"created_at":"2026-05-18T00:22:00.743577+00:00","updated_at":"2026-05-18T00:22:00.743577+00:00"}