{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:B7BSJSRGVW3NHJGODE4CK7MFMP","merge_version":"pith-open-graph-merge-v1","event_count":3,"valid_event_count":3,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"46a02ac173f12c1397b2623b70fe1974bc901a49d798278c08b17112bbca138a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-07-16T19:20:55Z","title_canon_sha256":"cdb5cec96a46d1ee8b731600bfd90960a54f7f13f511d675572719d79f1e9680"},"schema_version":"1.0","source":{"id":"2607.15408","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.15408","created_at":"2026-07-20T00:18:32Z"},{"alias_kind":"arxiv_version","alias_value":"2607.15408v1","created_at":"2026-07-20T00:18:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.15408","created_at":"2026-07-20T00:18:32Z"},{"alias_kind":"pith_short_12","alias_value":"B7BSJSRGVW3N","created_at":"2026-07-20T00:18:32Z"},{"alias_kind":"pith_short_16","alias_value":"B7BSJSRGVW3NHJGO","created_at":"2026-07-20T00:18:32Z"},{"alias_kind":"pith_short_8","alias_value":"B7BSJSRG","created_at":"2026-07-20T00:18:32Z"}],"graph_snapshots":[{"event_id":"sha256:4581a92aff4199a03194bb9d065eb9e88d0edbc09c2ca11ddb9904092f920910","target":"graph","created_at":"2026-07-20T00:18:32Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.15408/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we study a system of nonlocal conservation laws motivated by traffic flow: a nonlocal version of the generalized Aw-Rascle-Zhang (GARZ) model. The nonlocality arises from downstream spatial averaging of the velocity by a one-sided kernel. We prove the existence and uniqueness of weak solutions for initial data of bounded variation via a fixed-point argument in the nonlocal velocity. We also establish stability with respect to the initial datum and an approximation of weak solutions by strong solutions in $L^1$. Under additional, physically meaningful assumptions on the velocity ","authors_text":"Alexander Keimer, Debora Amadori, Felisia Angela Chiarello, Gianmarco Cipollone, Xiaoqian Gong","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-07-16T19:20:55Z","title":"Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.15408","kind":"arxiv","version":1},"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":"sha256:6f68ac3bcdd6af5ae558b882873b3ac7335c629f99713243fddf1b864e262ee4","target":"record","created_at":"2026-07-20T00:18:32Z","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":"46a02ac173f12c1397b2623b70fe1974bc901a49d798278c08b17112bbca138a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-07-16T19:20:55Z","title_canon_sha256":"cdb5cec96a46d1ee8b731600bfd90960a54f7f13f511d675572719d79f1e9680"},"schema_version":"1.0","source":{"id":"2607.15408","kind":"arxiv","version":1}},"canonical_sha256":"0fc324ca26adb6d3a4ce1938257d8563ef0674a63b69328934c883d32700d58e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0fc324ca26adb6d3a4ce1938257d8563ef0674a63b69328934c883d32700d58e","first_computed_at":"2026-07-20T00:18:32.110104Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-20T00:18:32.110104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Tw2AXps+BHz4zU7OWp9+lGJ+kJQgvGMsIu1lMTsoCyC1gLOzquiFDQQvBoskgGxDyS7XxaL1ixW+RfsbOabpDA==","signature_status":"signed_v1","signed_at":"2026-07-20T00:18:32.110902Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.15408","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f68ac3bcdd6af5ae558b882873b3ac7335c629f99713243fddf1b864e262ee4","sha256:4581a92aff4199a03194bb9d065eb9e88d0edbc09c2ca11ddb9904092f920910","sha256:9d6d360f0bf1336e13da4b88a8f6f217f8463b99a04ea6a202f3d974514cd333"],"state_sha256":"136bb77c3409db285278b36d6db1c21f24473cebee9e60f7a4ecffaf6fdab85e"}