{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:43JD4KBNHDFUQIWHB2ZCZCITVH","short_pith_number":"pith:43JD4KBN","schema_version":"1.0","canonical_sha256":"e6d23e282d38cb4822c70eb22c8913a9e1f9d751ccbe6a0be0d33f714516e5de","source":{"kind":"arxiv","id":"1802.06304","version":1},"attestation_state":"computed","paper":{"title":"Lagrangian mean curvature flow of Whitney spheres","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Andreas Savas-Halilaj, Knut Smoczyk","submitted_at":"2018-02-17T22:27:01Z","abstract_excerpt":"It is shown that an equivariant Lagrangian sphere with a positivity condition on its Ricci curvature develops a type-II singularity under the Lagrangian mean curvature flow that rescales to the product of a grim reaper with a flat Lagrangian subspace. In particular this result applies to the Whitney spheres."},"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":"1802.06304","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-02-17T22:27:01Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"4f6887b4aaf6fd736db2bcfeb1c9db6ca7a0d2edd9e40f14f1c3f578732e0e77","abstract_canon_sha256":"f505b6579900f8babbc5faad7e842d4b5276a78031b84ff87eeb39064e90b427"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:23.912216Z","signature_b64":"Vw9D1x4jPT7XyDBclvwlby7O7jFrpZ88cISkzRj3PfKv4QcF6JG1Ve3ixYtU6VaIt98+l8VsiiVO6gY0NmG0BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e6d23e282d38cb4822c70eb22c8913a9e1f9d751ccbe6a0be0d33f714516e5de","last_reissued_at":"2026-05-17T23:48:23.911401Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:23.911401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lagrangian mean curvature flow of Whitney spheres","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Andreas Savas-Halilaj, Knut Smoczyk","submitted_at":"2018-02-17T22:27:01Z","abstract_excerpt":"It is shown that an equivariant Lagrangian sphere with a positivity condition on its Ricci curvature develops a type-II singularity under the Lagrangian mean curvature flow that rescales to the product of a grim reaper with a flat Lagrangian subspace. In particular this result applies to the Whitney spheres."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.06304","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":"1802.06304","created_at":"2026-05-17T23:48:23.911535+00:00"},{"alias_kind":"arxiv_version","alias_value":"1802.06304v1","created_at":"2026-05-17T23:48:23.911535+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.06304","created_at":"2026-05-17T23:48:23.911535+00:00"},{"alias_kind":"pith_short_12","alias_value":"43JD4KBNHDFU","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_16","alias_value":"43JD4KBNHDFUQIWH","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_8","alias_value":"43JD4KBN","created_at":"2026-05-18T12:32:05.422762+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/43JD4KBNHDFUQIWHB2ZCZCITVH","json":"https://pith.science/pith/43JD4KBNHDFUQIWHB2ZCZCITVH.json","graph_json":"https://pith.science/api/pith-number/43JD4KBNHDFUQIWHB2ZCZCITVH/graph.json","events_json":"https://pith.science/api/pith-number/43JD4KBNHDFUQIWHB2ZCZCITVH/events.json","paper":"https://pith.science/paper/43JD4KBN"},"agent_actions":{"view_html":"https://pith.science/pith/43JD4KBNHDFUQIWHB2ZCZCITVH","download_json":"https://pith.science/pith/43JD4KBNHDFUQIWHB2ZCZCITVH.json","view_paper":"https://pith.science/paper/43JD4KBN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1802.06304&json=true","fetch_graph":"https://pith.science/api/pith-number/43JD4KBNHDFUQIWHB2ZCZCITVH/graph.json","fetch_events":"https://pith.science/api/pith-number/43JD4KBNHDFUQIWHB2ZCZCITVH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/43JD4KBNHDFUQIWHB2ZCZCITVH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/43JD4KBNHDFUQIWHB2ZCZCITVH/action/storage_attestation","attest_author":"https://pith.science/pith/43JD4KBNHDFUQIWHB2ZCZCITVH/action/author_attestation","sign_citation":"https://pith.science/pith/43JD4KBNHDFUQIWHB2ZCZCITVH/action/citation_signature","submit_replication":"https://pith.science/pith/43JD4KBNHDFUQIWHB2ZCZCITVH/action/replication_record"}},"created_at":"2026-05-17T23:48:23.911535+00:00","updated_at":"2026-05-17T23:48:23.911535+00:00"}