{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:LYCIZVIZUHDNQMXCNICZLHJC6H","short_pith_number":"pith:LYCIZVIZ","schema_version":"1.0","canonical_sha256":"5e048cd519a1c6d832e26a05959d22f1f5f924aaa52b49f6fd75cfcf43cebf59","source":{"kind":"arxiv","id":"1210.0629","version":1},"attestation_state":"computed","paper":{"title":"Mean curvature flow of Killing graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Gabriela A. Wanderley, Jorge H. Lira","submitted_at":"2012-10-02T01:34:49Z","abstract_excerpt":"We study a Neumann problem related to the evolution of graphs under mean curvature flow in Riemannian manifolds endowed with a Killing vector field. We prove that in a particular case these graphs converge to a bounded minimal graph which contacts the cylinder over the domain orthogonally along its boundary."},"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":"1210.0629","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-10-02T01:34:49Z","cross_cats_sorted":[],"title_canon_sha256":"dec49654595376f738962710d018e05eb3d6b157657b58eff1a52bf6722f201a","abstract_canon_sha256":"f5263389a24fd89049b1e076c8413941ed7a39d48a263299086606ca7a1055d1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:14.668232Z","signature_b64":"FhGOBlXGn4/aXXCXx3iXVGzUvY8tFlmZO20lMQUagcMX3obt5u7aOnwkQDKAR39RMVtE78CJTs3YRkzH134ZBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e048cd519a1c6d832e26a05959d22f1f5f924aaa52b49f6fd75cfcf43cebf59","last_reissued_at":"2026-05-18T03:44:14.667737Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:14.667737Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mean curvature flow of Killing graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Gabriela A. Wanderley, Jorge H. Lira","submitted_at":"2012-10-02T01:34:49Z","abstract_excerpt":"We study a Neumann problem related to the evolution of graphs under mean curvature flow in Riemannian manifolds endowed with a Killing vector field. We prove that in a particular case these graphs converge to a bounded minimal graph which contacts the cylinder over the domain orthogonally along its boundary."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.0629","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":"1210.0629","created_at":"2026-05-18T03:44:14.667808+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.0629v1","created_at":"2026-05-18T03:44:14.667808+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.0629","created_at":"2026-05-18T03:44:14.667808+00:00"},{"alias_kind":"pith_short_12","alias_value":"LYCIZVIZUHDN","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"LYCIZVIZUHDNQMXC","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"LYCIZVIZ","created_at":"2026-05-18T12:27:14.488303+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/LYCIZVIZUHDNQMXCNICZLHJC6H","json":"https://pith.science/pith/LYCIZVIZUHDNQMXCNICZLHJC6H.json","graph_json":"https://pith.science/api/pith-number/LYCIZVIZUHDNQMXCNICZLHJC6H/graph.json","events_json":"https://pith.science/api/pith-number/LYCIZVIZUHDNQMXCNICZLHJC6H/events.json","paper":"https://pith.science/paper/LYCIZVIZ"},"agent_actions":{"view_html":"https://pith.science/pith/LYCIZVIZUHDNQMXCNICZLHJC6H","download_json":"https://pith.science/pith/LYCIZVIZUHDNQMXCNICZLHJC6H.json","view_paper":"https://pith.science/paper/LYCIZVIZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.0629&json=true","fetch_graph":"https://pith.science/api/pith-number/LYCIZVIZUHDNQMXCNICZLHJC6H/graph.json","fetch_events":"https://pith.science/api/pith-number/LYCIZVIZUHDNQMXCNICZLHJC6H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LYCIZVIZUHDNQMXCNICZLHJC6H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LYCIZVIZUHDNQMXCNICZLHJC6H/action/storage_attestation","attest_author":"https://pith.science/pith/LYCIZVIZUHDNQMXCNICZLHJC6H/action/author_attestation","sign_citation":"https://pith.science/pith/LYCIZVIZUHDNQMXCNICZLHJC6H/action/citation_signature","submit_replication":"https://pith.science/pith/LYCIZVIZUHDNQMXCNICZLHJC6H/action/replication_record"}},"created_at":"2026-05-18T03:44:14.667808+00:00","updated_at":"2026-05-18T03:44:14.667808+00:00"}