{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5WBGNSOZHXFEHVJ5TFTC65AVKE","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":"14de165f19e6abf124e91d3db0bd124ea557350e78f30247a123573afe6b24f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-09-08T09:39:50Z","title_canon_sha256":"bd4dd704dc31b57e258ffa0decec7ea6a824b8715726e82f362091ab4f39f5dc"},"schema_version":"1.0","source":{"id":"1709.02615","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.02615","created_at":"2026-05-18T00:21:25Z"},{"alias_kind":"arxiv_version","alias_value":"1709.02615v1","created_at":"2026-05-18T00:21:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.02615","created_at":"2026-05-18T00:21:25Z"},{"alias_kind":"pith_short_12","alias_value":"5WBGNSOZHXFE","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5WBGNSOZHXFEHVJ5","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5WBGNSOZ","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:ffd716eb3922acae416dccda6e090033e1523ea3f7ed4553822cc3bbe671c4a8","target":"graph","created_at":"2026-05-18T00:21:25Z","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 hyperbolic dissipative systems, the solution of the shock structure is not always continuous and a discontinuous part (sub-shock) appears when the velocity of the shock wave is greater than a critical value. In principle, the sub-shock may occur when the shock velocity $s$ reaches one of the characteristic eigenvalues of the hyperbolic system. Nevertheless, Rational Extended Thermodynamics (ET) for a rarefied monatomic gas predicts the sub-shock formation only when $s$ exceeds the maximum characteristic velocity of the system evaluated in the unperturbed state $\\lambda^{\\max}_0$. This fact ","authors_text":"Shigeru Taniguchi, Tommaso Ruggeri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-09-08T09:39:50Z","title":"On the sub-shock formation in extended thermodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.02615","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":"sha256:7883b40dd46b6576f9adac880f944e90b694c381fe4fd4ca45c137022ab5e5e3","target":"record","created_at":"2026-05-18T00:21:25Z","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":"14de165f19e6abf124e91d3db0bd124ea557350e78f30247a123573afe6b24f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-09-08T09:39:50Z","title_canon_sha256":"bd4dd704dc31b57e258ffa0decec7ea6a824b8715726e82f362091ab4f39f5dc"},"schema_version":"1.0","source":{"id":"1709.02615","kind":"arxiv","version":1}},"canonical_sha256":"ed8266c9d93dca43d53d99662f74155113f0e58ccc9c7cda353a4155b9f80cd8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed8266c9d93dca43d53d99662f74155113f0e58ccc9c7cda353a4155b9f80cd8","first_computed_at":"2026-05-18T00:21:25.408597Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:25.408597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vrfR0cZZUALhoG/fKYh3rFD2TF5Y1bfy1PKMjqRDTSZCassBqv1rLIGDz8XD3fks/1h9Fjj+EK7BEbf5e1/sBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:25.409424Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.02615","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7883b40dd46b6576f9adac880f944e90b694c381fe4fd4ca45c137022ab5e5e3","sha256:ffd716eb3922acae416dccda6e090033e1523ea3f7ed4553822cc3bbe671c4a8"],"state_sha256":"bb9b12d6d40df73b9845ae21adfc4e2f697876c7447a43928016400b48ff8a3b"}