{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:KZOR3VK74IH4Y63KPC34LA5NE5","short_pith_number":"pith:KZOR3VK7","canonical_record":{"source":{"id":"1502.01081","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.AP","submitted_at":"2015-02-04T02:40:29Z","cross_cats_sorted":[],"title_canon_sha256":"2dd047cb74eca32edf8ba35e482fac1867dacae29e8b9bf4cde118af80cbe9ee","abstract_canon_sha256":"5b7c1d5296287f2d2b2c577d03e743342bc30dc06fd5749c394b077264b33655"},"schema_version":"1.0"},"canonical_sha256":"565d1dd55fe20fcc7b6a78b7c583ad2761c6676210e58ca3f9e0ef9882858ce0","source":{"kind":"arxiv","id":"1502.01081","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:KZOR3VK74IH4Y63KPC34LA5NE5","target":"record","payload":{"canonical_record":{"source":{"id":"1502.01081","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.AP","submitted_at":"2015-02-04T02:40:29Z","cross_cats_sorted":[],"title_canon_sha256":"2dd047cb74eca32edf8ba35e482fac1867dacae29e8b9bf4cde118af80cbe9ee","abstract_canon_sha256":"5b7c1d5296287f2d2b2c577d03e743342bc30dc06fd5749c394b077264b33655"},"schema_version":"1.0"},"canonical_sha256":"565d1dd55fe20fcc7b6a78b7c583ad2761c6676210e58ca3f9e0ef9882858ce0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:33.689234Z","signature_b64":"Z6Js/Vd0BRM06pqxPEzyfgotIYG5H2iz4nXSe3rgbD+Z29jbeznK+UoSqvrJ4f4ELrxfEl3IpZLJFmTNsZbPCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"565d1dd55fe20fcc7b6a78b7c583ad2761c6676210e58ca3f9e0ef9882858ce0","last_reissued_at":"2026-05-18T02:25:33.688819Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:33.688819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.01081","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:25:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qGrS2PqrHwPJdpQtbrDoyXVdiFWiukylFzlE2fIO58X/cZmGM8uef59Mz6N+jhMS2bOBXbxiRmWq6oGsZy0aAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T11:05:37.059947Z"},"content_sha256":"fdfb603cdb1ef23e201a52b96d15af5b43173f1e02571bf292f33ba71d280c45","schema_version":"1.0","event_id":"sha256:fdfb603cdb1ef23e201a52b96d15af5b43173f1e02571bf292f33ba71d280c45"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:KZOR3VK74IH4Y63KPC34LA5NE5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the convergence rate of the nonlinear-hyperbolic systems for axonal transport","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Feimin Huang, Wentao Cao","submitted_at":"2015-02-04T02:40:29Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.01081","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:25:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yumhp6iCpWhXyspw4UILd1hz0zLolYe7EwVet5T8KTugQ0TS8f6OLbt1l9cFQitMhxO2z/mXyWTXDY2Cf0rrDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T11:05:37.060551Z"},"content_sha256":"4f0199f890420fc17351a66faca21d49be6a637c1b95bca7e58afbaacabcf6df","schema_version":"1.0","event_id":"sha256:4f0199f890420fc17351a66faca21d49be6a637c1b95bca7e58afbaacabcf6df"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KZOR3VK74IH4Y63KPC34LA5NE5/bundle.json","state_url":"https://pith.science/pith/KZOR3VK74IH4Y63KPC34LA5NE5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KZOR3VK74IH4Y63KPC34LA5NE5/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-31T11:05:37Z","links":{"resolver":"https://pith.science/pith/KZOR3VK74IH4Y63KPC34LA5NE5","bundle":"https://pith.science/pith/KZOR3VK74IH4Y63KPC34LA5NE5/bundle.json","state":"https://pith.science/pith/KZOR3VK74IH4Y63KPC34LA5NE5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KZOR3VK74IH4Y63KPC34LA5NE5/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yM3L1LLIStk5+65HgCHR4zzl1+qTqlhzXUDnm6yNk3GpJrbVoPo1QZ51pxTTqURCPmH8a4war+vQJpvavmk3AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T11:05:37.063227Z","bundle_sha256":"a3447eab7b0c4ab73a3ede1b5fc36ef4f3a7472c280134f51d363a5292d7b03c"}}