{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:FC5UBUKQPDYJ6XWVLID6D6GMK5","short_pith_number":"pith:FC5UBUKQ","schema_version":"1.0","canonical_sha256":"28bb40d15078f09f5ed55a07e1f8cc575842265f90c30b0742245a9c81c4d62b","source":{"kind":"arxiv","id":"2105.09482","version":1},"attestation_state":"computed","paper":{"title":"Translating solutions for a class of quasilinear parabolic initial boundary value problems in Lorentz-Minkowski plane $\\mathbb{R}^{2}_{1}$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jinghua Li, Jing Mao, Ya Gao","submitted_at":"2021-05-20T03:03:30Z","abstract_excerpt":"In this paper, we investigate the evolution of spacelike curves in Lorentz-Minkowski plane $\\mathbb{R}^{2}_{1}$ along prescribed geometric flows (including the classical curve shortening flow or mean curvature flow as a special case), which correspond to a class of quasilinear parabolic initial boundary value problems, and can prove that this flow exists for all time. Moreover, we can also show that the evolving spacelike curves converge to a spacelike straight line or a spacelike Grim Reaper curve 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":"2105.09482","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2021-05-20T03:03:30Z","cross_cats_sorted":[],"title_canon_sha256":"17357b8e73a1d2cbbba42d997ec439f5dcef30bcee4ec9cab5d7fee5ea3fd916","abstract_canon_sha256":"336f4fec917923a27be46afc944ab26632cefb2d2870e2f575aedcf94d3ebfbb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:11:45.553889Z","signature_b64":"YMNl/7QucpPCVFAxuCDt4UlOt2QHtQRTS1wFZRQJSp0lQYmDb8LgYaNXrgSV9SAPgH9XGU87QIy6X07yh4JJDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28bb40d15078f09f5ed55a07e1f8cc575842265f90c30b0742245a9c81c4d62b","last_reissued_at":"2026-07-05T04:11:45.553395Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:11:45.553395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Translating solutions for a class of quasilinear parabolic initial boundary value problems in Lorentz-Minkowski plane $\\mathbb{R}^{2}_{1}$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jinghua Li, Jing Mao, Ya Gao","submitted_at":"2021-05-20T03:03:30Z","abstract_excerpt":"In this paper, we investigate the evolution of spacelike curves in Lorentz-Minkowski plane $\\mathbb{R}^{2}_{1}$ along prescribed geometric flows (including the classical curve shortening flow or mean curvature flow as a special case), which correspond to a class of quasilinear parabolic initial boundary value problems, and can prove that this flow exists for all time. Moreover, we can also show that the evolving spacelike curves converge to a spacelike straight line or a spacelike Grim Reaper curve as time tends to infinity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.09482","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2105.09482/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":"2105.09482","created_at":"2026-07-05T04:11:45.553447+00:00"},{"alias_kind":"arxiv_version","alias_value":"2105.09482v1","created_at":"2026-07-05T04:11:45.553447+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.09482","created_at":"2026-07-05T04:11:45.553447+00:00"},{"alias_kind":"pith_short_12","alias_value":"FC5UBUKQPDYJ","created_at":"2026-07-05T04:11:45.553447+00:00"},{"alias_kind":"pith_short_16","alias_value":"FC5UBUKQPDYJ6XWV","created_at":"2026-07-05T04:11:45.553447+00:00"},{"alias_kind":"pith_short_8","alias_value":"FC5UBUKQ","created_at":"2026-07-05T04:11:45.553447+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/FC5UBUKQPDYJ6XWVLID6D6GMK5","json":"https://pith.science/pith/FC5UBUKQPDYJ6XWVLID6D6GMK5.json","graph_json":"https://pith.science/api/pith-number/FC5UBUKQPDYJ6XWVLID6D6GMK5/graph.json","events_json":"https://pith.science/api/pith-number/FC5UBUKQPDYJ6XWVLID6D6GMK5/events.json","paper":"https://pith.science/paper/FC5UBUKQ"},"agent_actions":{"view_html":"https://pith.science/pith/FC5UBUKQPDYJ6XWVLID6D6GMK5","download_json":"https://pith.science/pith/FC5UBUKQPDYJ6XWVLID6D6GMK5.json","view_paper":"https://pith.science/paper/FC5UBUKQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2105.09482&json=true","fetch_graph":"https://pith.science/api/pith-number/FC5UBUKQPDYJ6XWVLID6D6GMK5/graph.json","fetch_events":"https://pith.science/api/pith-number/FC5UBUKQPDYJ6XWVLID6D6GMK5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FC5UBUKQPDYJ6XWVLID6D6GMK5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FC5UBUKQPDYJ6XWVLID6D6GMK5/action/storage_attestation","attest_author":"https://pith.science/pith/FC5UBUKQPDYJ6XWVLID6D6GMK5/action/author_attestation","sign_citation":"https://pith.science/pith/FC5UBUKQPDYJ6XWVLID6D6GMK5/action/citation_signature","submit_replication":"https://pith.science/pith/FC5UBUKQPDYJ6XWVLID6D6GMK5/action/replication_record"}},"created_at":"2026-07-05T04:11:45.553447+00:00","updated_at":"2026-07-05T04:11:45.553447+00:00"}