{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KZOR3VK74IH4Y63KPC34LA5NE5","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"5b7c1d5296287f2d2b2c577d03e743342bc30dc06fd5749c394b077264b33655","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.AP","submitted_at":"2015-02-04T02:40:29Z","title_canon_sha256":"2dd047cb74eca32edf8ba35e482fac1867dacae29e8b9bf4cde118af80cbe9ee"},"schema_version":"1.0","source":{"id":"1502.01081","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.01081","created_at":"2026-05-18T02:25:33Z"},{"alias_kind":"arxiv_version","alias_value":"1502.01081v3","created_at":"2026-05-18T02:25:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.01081","created_at":"2026-05-18T02:25:33Z"},{"alias_kind":"pith_short_12","alias_value":"KZOR3VK74IH4","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KZOR3VK74IH4Y63K","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KZOR3VK7","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:4f0199f890420fc17351a66faca21d49be6a637c1b95bca7e58afbaacabcf6df","target":"graph","created_at":"2026-05-18T02:25:33Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper, we consider a class of nonlinear reaction-hyperbolic systems with relaxation terms as models for axonal transport in neuroscience. We show the Kruzkov entropy-satisfying BV-solutions of the systems converge towards the solution of an equilibrium model at the rate of $O(\\sqrt{\\delta})$ in L1 norm as the relaxation time $\\delta$ tends to zero.\nBut we don't make sure the rate is optimal.","authors_text":"Feimin Huang, Wentao Cao","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.AP","submitted_at":"2015-02-04T02:40:29Z","title":"On the convergence rate of the nonlinear-hyperbolic systems for axonal transport"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.01081","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:fdfb603cdb1ef23e201a52b96d15af5b43173f1e02571bf292f33ba71d280c45","target":"record","created_at":"2026-05-18T02:25:33Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"5b7c1d5296287f2d2b2c577d03e743342bc30dc06fd5749c394b077264b33655","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.AP","submitted_at":"2015-02-04T02:40:29Z","title_canon_sha256":"2dd047cb74eca32edf8ba35e482fac1867dacae29e8b9bf4cde118af80cbe9ee"},"schema_version":"1.0","source":{"id":"1502.01081","kind":"arxiv","version":3}},"canonical_sha256":"565d1dd55fe20fcc7b6a78b7c583ad2761c6676210e58ca3f9e0ef9882858ce0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"565d1dd55fe20fcc7b6a78b7c583ad2761c6676210e58ca3f9e0ef9882858ce0","first_computed_at":"2026-05-18T02:25:33.688819Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:33.688819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z6Js/Vd0BRM06pqxPEzyfgotIYG5H2iz4nXSe3rgbD+Z29jbeznK+UoSqvrJ4f4ELrxfEl3IpZLJFmTNsZbPCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:33.689234Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.01081","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fdfb603cdb1ef23e201a52b96d15af5b43173f1e02571bf292f33ba71d280c45","sha256:4f0199f890420fc17351a66faca21d49be6a637c1b95bca7e58afbaacabcf6df"],"state_sha256":"de2083ee361eb3416c23cc3fc80ecad4c524ceb1a5ac8b70cc8b4186f6a266d0"}