{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:QIDT2KVFCYL2YSHJRNP7IJYD6F","short_pith_number":"pith:QIDT2KVF","schema_version":"1.0","canonical_sha256":"82073d2aa51617ac48e98b5ff42703f169f87aab662cf51fae553f67cdc3534a","source":{"kind":"arxiv","id":"2012.11549","version":2},"attestation_state":"computed","paper":{"title":"Evolving convex curves by a generalized length-preserving flow","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Laiyuan Gao, Shengliang Pan","submitted_at":"2020-12-21T18:29:32Z","abstract_excerpt":"This paper deals with a generalized length-preserving flow for convex curves in the plane. It is shown that the flow exists globally and deforms convex curves into circles as time tends to infinity."},"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":"2012.11549","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2020-12-21T18:29:32Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"aa955fe06eeda86248489c29d1d4c807d20788e7442df5f69ef380ff199f0868","abstract_canon_sha256":"6bb336624c3de629e60e1ed07e377249639025aad4b91b50a6db112d7831c109"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:42:55.376687Z","signature_b64":"+W3Y4WxzH8fme1f7yO8XYJKYkL2QMfB5Wxf2JM4lVHai8EuJw1ccODb2WMm7RtnGf6t12omBSvJDijOqY+EeCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82073d2aa51617ac48e98b5ff42703f169f87aab662cf51fae553f67cdc3534a","last_reissued_at":"2026-07-05T10:42:55.376226Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:42:55.376226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Evolving convex curves by a generalized length-preserving flow","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Laiyuan Gao, Shengliang Pan","submitted_at":"2020-12-21T18:29:32Z","abstract_excerpt":"This paper deals with a generalized length-preserving flow for convex curves in the plane. It is shown that the flow exists globally and deforms convex curves into circles as time tends to infinity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.11549","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2012.11549/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2012.11549","created_at":"2026-07-05T10:42:55.376283+00:00"},{"alias_kind":"arxiv_version","alias_value":"2012.11549v2","created_at":"2026-07-05T10:42:55.376283+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.11549","created_at":"2026-07-05T10:42:55.376283+00:00"},{"alias_kind":"pith_short_12","alias_value":"QIDT2KVFCYL2","created_at":"2026-07-05T10:42:55.376283+00:00"},{"alias_kind":"pith_short_16","alias_value":"QIDT2KVFCYL2YSHJ","created_at":"2026-07-05T10:42:55.376283+00:00"},{"alias_kind":"pith_short_8","alias_value":"QIDT2KVF","created_at":"2026-07-05T10:42:55.376283+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/QIDT2KVFCYL2YSHJRNP7IJYD6F","json":"https://pith.science/pith/QIDT2KVFCYL2YSHJRNP7IJYD6F.json","graph_json":"https://pith.science/api/pith-number/QIDT2KVFCYL2YSHJRNP7IJYD6F/graph.json","events_json":"https://pith.science/api/pith-number/QIDT2KVFCYL2YSHJRNP7IJYD6F/events.json","paper":"https://pith.science/paper/QIDT2KVF"},"agent_actions":{"view_html":"https://pith.science/pith/QIDT2KVFCYL2YSHJRNP7IJYD6F","download_json":"https://pith.science/pith/QIDT2KVFCYL2YSHJRNP7IJYD6F.json","view_paper":"https://pith.science/paper/QIDT2KVF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2012.11549&json=true","fetch_graph":"https://pith.science/api/pith-number/QIDT2KVFCYL2YSHJRNP7IJYD6F/graph.json","fetch_events":"https://pith.science/api/pith-number/QIDT2KVFCYL2YSHJRNP7IJYD6F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QIDT2KVFCYL2YSHJRNP7IJYD6F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QIDT2KVFCYL2YSHJRNP7IJYD6F/action/storage_attestation","attest_author":"https://pith.science/pith/QIDT2KVFCYL2YSHJRNP7IJYD6F/action/author_attestation","sign_citation":"https://pith.science/pith/QIDT2KVFCYL2YSHJRNP7IJYD6F/action/citation_signature","submit_replication":"https://pith.science/pith/QIDT2KVFCYL2YSHJRNP7IJYD6F/action/replication_record"}},"created_at":"2026-07-05T10:42:55.376283+00:00","updated_at":"2026-07-05T10:42:55.376283+00:00"}