{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WJYM7YGGFVG42ICR6M34BVGNZS","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":"48471cbc74e86a5758e840fb5ac2b1fd6d9d12886195ec837edd7f30fd648999","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-22T10:16:44Z","title_canon_sha256":"bf978a39a62736b58c36904f93ce3bc4cbc80c176af1915fe2b006948aeea62f"},"schema_version":"1.0","source":{"id":"1709.07675","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.07675","created_at":"2026-05-18T00:34:32Z"},{"alias_kind":"arxiv_version","alias_value":"1709.07675v1","created_at":"2026-05-18T00:34:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.07675","created_at":"2026-05-18T00:34:32Z"},{"alias_kind":"pith_short_12","alias_value":"WJYM7YGGFVG4","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WJYM7YGGFVG42ICR","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WJYM7YGG","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:9b893f7fe06f6a8e41dcfadf8e92f6f11405589dd3e0d8d771e934e91e2cea4c","target":"graph","created_at":"2026-05-18T00:34:32Z","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"},"paper":{"abstract_excerpt":"We study several $3\\times 3$ systems of conservation laws, arising in modeling of two phase flow with rough porous media and traffic flow with rough road condition. These systems share several features. The systems are of mixed type, with various degeneracies. Some families are linearly degenerate, while others are not genuinely nonlinear. Furthermore, along certain curves in the domain the eigenvalues and eigenvectors of different families coincide. Most interestingly, in some suitable Lagrangian coordinate the systems are partially decoupled, where some unknowns can be solved independently o","authors_text":"Wen Shen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-22T10:16:44Z","title":"Global Riemann Solvers for Several $3\\times3$ Systems of Conservation Laws with Degeneracies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.07675","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:b6e560f3506d2efd8362ac53fcf16c8e23cc5815db674190a8945611310f4a78","target":"record","created_at":"2026-05-18T00:34:32Z","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":"48471cbc74e86a5758e840fb5ac2b1fd6d9d12886195ec837edd7f30fd648999","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-22T10:16:44Z","title_canon_sha256":"bf978a39a62736b58c36904f93ce3bc4cbc80c176af1915fe2b006948aeea62f"},"schema_version":"1.0","source":{"id":"1709.07675","kind":"arxiv","version":1}},"canonical_sha256":"b270cfe0c62d4dcd2051f337c0d4cdcc99ae61df6b38411aea4b895175206994","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b270cfe0c62d4dcd2051f337c0d4cdcc99ae61df6b38411aea4b895175206994","first_computed_at":"2026-05-18T00:34:32.593008Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:32.593008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eaALNYllgRKu6+6dX0O/0aqXg1S53QGqve9D0ygYSalFmVhd4lLdJXc6W8uWQFgRqMH8Ttu2G5qMtwKsRZ7VAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:32.593620Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.07675","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6e560f3506d2efd8362ac53fcf16c8e23cc5815db674190a8945611310f4a78","sha256:9b893f7fe06f6a8e41dcfadf8e92f6f11405589dd3e0d8d771e934e91e2cea4c"],"state_sha256":"16e8108ca682508ea7e61a04bdf4f3f14ad9abd102572dc67de0709bff8ed493"}