{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:RE2OQ43TSBCYQLP5VSCFZ53JOJ","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":"ef4ed69796228f41e36c44f0752093034a8d1d09546cc5965f545904fc22b61f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2019-03-03T00:12:51Z","title_canon_sha256":"d5da697132d861db1fafe1cb2cf206aa25fd66f498a339ca6199279eb6b2745f"},"schema_version":"1.0","source":{"id":"1903.00797","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.00797","created_at":"2026-07-05T00:28:22Z"},{"alias_kind":"arxiv_version","alias_value":"1903.00797v2","created_at":"2026-07-05T00:28:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.00797","created_at":"2026-07-05T00:28:22Z"},{"alias_kind":"pith_short_12","alias_value":"RE2OQ43TSBCY","created_at":"2026-07-05T00:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"RE2OQ43TSBCYQLP5","created_at":"2026-07-05T00:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"RE2OQ43T","created_at":"2026-07-05T00:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:f25210947dc813ec2aa969960f1a55cb85fd2db4d630aefb9a3f3bb7a521bfda","target":"graph","created_at":"2026-07-05T00:28:22Z","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/1903.00797/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We revisit a well-established model for highly re-entrant semi-conductor manufacturing systems, and analyze it in the setting of states, in- and outfluxes being Borel measures. This is motivated by the lack of optimal solutions in the L1-setting for transitions from a smaller to a larger equilibrium with zero backlog. Key innovations involve dealing with discontinuous velocities in the presence of point masses, and a finite domain with in- and outfluxes. Taking a Lagrangian point of view, we establish existence and uniqueness of solutions, and formulate a notion of weak solution. We prove cont","authors_text":"Matthias kawski, Xiaoqian Gong","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2019-03-03T00:12:51Z","title":"Weak Measure-Valued Solutions of a Nonlinear Hyperbolic Conservation Law"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.00797","kind":"arxiv","version":2},"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":"sha256:744f71e373578f0f300a284051fd8d6f1091cc89c3813d5f05a61471694a29c7","target":"record","created_at":"2026-07-05T00:28:22Z","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":"ef4ed69796228f41e36c44f0752093034a8d1d09546cc5965f545904fc22b61f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2019-03-03T00:12:51Z","title_canon_sha256":"d5da697132d861db1fafe1cb2cf206aa25fd66f498a339ca6199279eb6b2745f"},"schema_version":"1.0","source":{"id":"1903.00797","kind":"arxiv","version":2}},"canonical_sha256":"8934e873739045882dfdac845cf769727b4d1d5a17e697ba38987da9a3e9f38f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8934e873739045882dfdac845cf769727b4d1d5a17e697ba38987da9a3e9f38f","first_computed_at":"2026-07-05T00:28:22.394787Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:28:22.394787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ElHb/8fGzFOXnLa8L+BstHCJh9Kw+p+SI/WBdM9czZX0oeGedTAlqHRok+QbhniREs7Nh4DollwlNTPi2CGQCA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:28:22.395238Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.00797","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:744f71e373578f0f300a284051fd8d6f1091cc89c3813d5f05a61471694a29c7","sha256:f25210947dc813ec2aa969960f1a55cb85fd2db4d630aefb9a3f3bb7a521bfda"],"state_sha256":"0b79791363383b8cbd8bba8d8b63403422aa2bcb0695a3f7190fe3c3a34d3521"}