{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:36FBVUS6OG4DUIUQYTLC2HTC7C","short_pith_number":"pith:36FBVUS6","schema_version":"1.0","canonical_sha256":"df8a1ad25e71b83a2290c4d62d1e62f88d72c3147eb05ef6a488632753a38077","source":{"kind":"arxiv","id":"1606.06392","version":1},"attestation_state":"computed","paper":{"title":"Mean Curvature Flows of Graphs with Neumann Boundary condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jinju Xu","submitted_at":"2016-06-21T01:18:05Z","abstract_excerpt":"In this paper, we study the mean curvature flow of graphs with Neumann boundary condition. The main aim is to use the maximum principle to get the boundary gradient estimate for solutions. In particular, we obtain the corresponding existence theorem for the mean curvature flow of graphs."},"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":"1606.06392","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-06-21T01:18:05Z","cross_cats_sorted":[],"title_canon_sha256":"5340e30f2598b1402e8d100b940c732fbb4e4c5831b1fbbe0de1b2a06bf43990","abstract_canon_sha256":"239ad705c117a0b9b45affa5ddddfeaaf5d68fef245155ffa6449ada836f21d0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:11.030528Z","signature_b64":"gdYk6p2rEy+wTrOnWMTKtMz/1+0Ol7m818Bts5donlBq8kmClGapC+Bp/hfScf8vMADX832MBgBob71AmtCZBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df8a1ad25e71b83a2290c4d62d1e62f88d72c3147eb05ef6a488632753a38077","last_reissued_at":"2026-05-18T01:12:11.030036Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:11.030036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mean Curvature Flows of Graphs with Neumann Boundary condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jinju Xu","submitted_at":"2016-06-21T01:18:05Z","abstract_excerpt":"In this paper, we study the mean curvature flow of graphs with Neumann boundary condition. The main aim is to use the maximum principle to get the boundary gradient estimate for solutions. In particular, we obtain the corresponding existence theorem for the mean curvature flow of graphs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06392","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":"1606.06392","created_at":"2026-05-18T01:12:11.030110+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.06392v1","created_at":"2026-05-18T01:12:11.030110+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.06392","created_at":"2026-05-18T01:12:11.030110+00:00"},{"alias_kind":"pith_short_12","alias_value":"36FBVUS6OG4D","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_16","alias_value":"36FBVUS6OG4DUIUQ","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_8","alias_value":"36FBVUS6","created_at":"2026-05-18T12:29:55.572404+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/36FBVUS6OG4DUIUQYTLC2HTC7C","json":"https://pith.science/pith/36FBVUS6OG4DUIUQYTLC2HTC7C.json","graph_json":"https://pith.science/api/pith-number/36FBVUS6OG4DUIUQYTLC2HTC7C/graph.json","events_json":"https://pith.science/api/pith-number/36FBVUS6OG4DUIUQYTLC2HTC7C/events.json","paper":"https://pith.science/paper/36FBVUS6"},"agent_actions":{"view_html":"https://pith.science/pith/36FBVUS6OG4DUIUQYTLC2HTC7C","download_json":"https://pith.science/pith/36FBVUS6OG4DUIUQYTLC2HTC7C.json","view_paper":"https://pith.science/paper/36FBVUS6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.06392&json=true","fetch_graph":"https://pith.science/api/pith-number/36FBVUS6OG4DUIUQYTLC2HTC7C/graph.json","fetch_events":"https://pith.science/api/pith-number/36FBVUS6OG4DUIUQYTLC2HTC7C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/36FBVUS6OG4DUIUQYTLC2HTC7C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/36FBVUS6OG4DUIUQYTLC2HTC7C/action/storage_attestation","attest_author":"https://pith.science/pith/36FBVUS6OG4DUIUQYTLC2HTC7C/action/author_attestation","sign_citation":"https://pith.science/pith/36FBVUS6OG4DUIUQYTLC2HTC7C/action/citation_signature","submit_replication":"https://pith.science/pith/36FBVUS6OG4DUIUQYTLC2HTC7C/action/replication_record"}},"created_at":"2026-05-18T01:12:11.030110+00:00","updated_at":"2026-05-18T01:12:11.030110+00:00"}