{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:EVDYDEGZ3ZZMHXRDKH2O4W54JV","short_pith_number":"pith:EVDYDEGZ","canonical_record":{"source":{"id":"1908.03344","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-08-09T07:28:05Z","cross_cats_sorted":["cs.NA","math.AP","physics.class-ph","physics.flu-dyn"],"title_canon_sha256":"bcc3f5293d40b0d7a178047011d8a494fe10733e99d3a9b16167b0d75bd4b9cb","abstract_canon_sha256":"c1506d6d4f4d7708351955e0951ae58dbe52eb7cf79587d7888241af95da7142"},"schema_version":"1.0"},"canonical_sha256":"25478190d9de72c3de2351f4ee5bbc4d604f8816f46e7a6d3483b88b651685e5","source":{"kind":"arxiv","id":"1908.03344","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.03344","created_at":"2026-07-04T23:52:39Z"},{"alias_kind":"arxiv_version","alias_value":"1908.03344v1","created_at":"2026-07-04T23:52:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.03344","created_at":"2026-07-04T23:52:39Z"},{"alias_kind":"pith_short_12","alias_value":"EVDYDEGZ3ZZM","created_at":"2026-07-04T23:52:39Z"},{"alias_kind":"pith_short_16","alias_value":"EVDYDEGZ3ZZMHXRD","created_at":"2026-07-04T23:52:39Z"},{"alias_kind":"pith_short_8","alias_value":"EVDYDEGZ","created_at":"2026-07-04T23:52:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:EVDYDEGZ3ZZMHXRDKH2O4W54JV","target":"record","payload":{"canonical_record":{"source":{"id":"1908.03344","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-08-09T07:28:05Z","cross_cats_sorted":["cs.NA","math.AP","physics.class-ph","physics.flu-dyn"],"title_canon_sha256":"bcc3f5293d40b0d7a178047011d8a494fe10733e99d3a9b16167b0d75bd4b9cb","abstract_canon_sha256":"c1506d6d4f4d7708351955e0951ae58dbe52eb7cf79587d7888241af95da7142"},"schema_version":"1.0"},"canonical_sha256":"25478190d9de72c3de2351f4ee5bbc4d604f8816f46e7a6d3483b88b651685e5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:52:39.178839Z","signature_b64":"mhCeg2ZX0MoxKwdrggQRffrURPUJQgn/BDuiwU0Ys4LgFRo2NNbaWDEQN16zfit0kw3lGz23PgSsQ3z9D4mRCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25478190d9de72c3de2351f4ee5bbc4d604f8816f46e7a6d3483b88b651685e5","last_reissued_at":"2026-07-04T23:52:39.178489Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:52:39.178489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.03344","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T23:52:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tgqiFZaC2pvdmHgpF0N8ZnbFKbfpbbl4sOLUP3FPebnr4NKILo/OuIBY60ysYA9aQrOoJNtXHwiq094ed+kcCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T23:10:44.860865Z"},"content_sha256":"e0cf50bc740d7451b4c1f60c828c9ded1b1278d0a0f596bb4898202032721833","schema_version":"1.0","event_id":"sha256:e0cf50bc740d7451b4c1f60c828c9ded1b1278d0a0f596bb4898202032721833"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:EVDYDEGZ3ZZMHXRDKH2O4W54JV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Viscoelastic flows with conservation laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.AP","physics.class-ph","physics.flu-dyn"],"primary_cat":"math.NA","authors_text":"Saint-Venant), S\\'ebastien Boyaval (MATHERIALS","submitted_at":"2019-08-09T07:28:05Z","abstract_excerpt":"We propose in this work the first symmetric hyperbolic system of conservation laws to describe viscoelastic flows of Maxwell fluids, i.e. fluidswith memory that are characterized by one relaxation-time parameter. Precisely, the system of quasilinear PDEs is detailed for the shallow-water regime, i.e. for hydrostatic incompressible 2D flows with free surface under gravity. It generalizes Saint-Venant system to viscoelastic flows of Maxwell fluids, and encompasses previous works with F. Bouchut. It also generalizes the (thin-layer) elastodynamics of hyperelastic materials to viscous fluids, and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.03344","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.03344/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T23:52:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LeZMJyl1/AKOB07g9lXDrDNS0zC5mlf/f+W1hWa79Gwt6NI3RJwo9qUKUs0+FdEpm26a4NQjMZwzieFrp22gBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T23:10:44.861209Z"},"content_sha256":"2894873cc1e8862e8bac3e12e602c51303c6ec726e47cd56f0735d382ec7eae4","schema_version":"1.0","event_id":"sha256:2894873cc1e8862e8bac3e12e602c51303c6ec726e47cd56f0735d382ec7eae4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EVDYDEGZ3ZZMHXRDKH2O4W54JV/bundle.json","state_url":"https://pith.science/pith/EVDYDEGZ3ZZMHXRDKH2O4W54JV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EVDYDEGZ3ZZMHXRDKH2O4W54JV/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":"2026-08-23T23:10:44Z","links":{"resolver":"https://pith.science/pith/EVDYDEGZ3ZZMHXRDKH2O4W54JV","bundle":"https://pith.science/pith/EVDYDEGZ3ZZMHXRDKH2O4W54JV/bundle.json","state":"https://pith.science/pith/EVDYDEGZ3ZZMHXRDKH2O4W54JV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EVDYDEGZ3ZZMHXRDKH2O4W54JV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:EVDYDEGZ3ZZMHXRDKH2O4W54JV","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":"c1506d6d4f4d7708351955e0951ae58dbe52eb7cf79587d7888241af95da7142","cross_cats_sorted":["cs.NA","math.AP","physics.class-ph","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-08-09T07:28:05Z","title_canon_sha256":"bcc3f5293d40b0d7a178047011d8a494fe10733e99d3a9b16167b0d75bd4b9cb"},"schema_version":"1.0","source":{"id":"1908.03344","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.03344","created_at":"2026-07-04T23:52:39Z"},{"alias_kind":"arxiv_version","alias_value":"1908.03344v1","created_at":"2026-07-04T23:52:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.03344","created_at":"2026-07-04T23:52:39Z"},{"alias_kind":"pith_short_12","alias_value":"EVDYDEGZ3ZZM","created_at":"2026-07-04T23:52:39Z"},{"alias_kind":"pith_short_16","alias_value":"EVDYDEGZ3ZZMHXRD","created_at":"2026-07-04T23:52:39Z"},{"alias_kind":"pith_short_8","alias_value":"EVDYDEGZ","created_at":"2026-07-04T23:52:39Z"}],"graph_snapshots":[{"event_id":"sha256:2894873cc1e8862e8bac3e12e602c51303c6ec726e47cd56f0735d382ec7eae4","target":"graph","created_at":"2026-07-04T23:52:39Z","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/1908.03344/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose in this work the first symmetric hyperbolic system of conservation laws to describe viscoelastic flows of Maxwell fluids, i.e. fluidswith memory that are characterized by one relaxation-time parameter. Precisely, the system of quasilinear PDEs is detailed for the shallow-water regime, i.e. for hydrostatic incompressible 2D flows with free surface under gravity. It generalizes Saint-Venant system to viscoelastic flows of Maxwell fluids, and encompasses previous works with F. Bouchut. It also generalizes the (thin-layer) elastodynamics of hyperelastic materials to viscous fluids, and ","authors_text":"Saint-Venant), S\\'ebastien Boyaval (MATHERIALS","cross_cats":["cs.NA","math.AP","physics.class-ph","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-08-09T07:28:05Z","title":"Viscoelastic flows with conservation laws"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.03344","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:e0cf50bc740d7451b4c1f60c828c9ded1b1278d0a0f596bb4898202032721833","target":"record","created_at":"2026-07-04T23:52:39Z","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":"c1506d6d4f4d7708351955e0951ae58dbe52eb7cf79587d7888241af95da7142","cross_cats_sorted":["cs.NA","math.AP","physics.class-ph","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-08-09T07:28:05Z","title_canon_sha256":"bcc3f5293d40b0d7a178047011d8a494fe10733e99d3a9b16167b0d75bd4b9cb"},"schema_version":"1.0","source":{"id":"1908.03344","kind":"arxiv","version":1}},"canonical_sha256":"25478190d9de72c3de2351f4ee5bbc4d604f8816f46e7a6d3483b88b651685e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25478190d9de72c3de2351f4ee5bbc4d604f8816f46e7a6d3483b88b651685e5","first_computed_at":"2026-07-04T23:52:39.178489Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:52:39.178489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mhCeg2ZX0MoxKwdrggQRffrURPUJQgn/BDuiwU0Ys4LgFRo2NNbaWDEQN16zfit0kw3lGz23PgSsQ3z9D4mRCg==","signature_status":"signed_v1","signed_at":"2026-07-04T23:52:39.178839Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.03344","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0cf50bc740d7451b4c1f60c828c9ded1b1278d0a0f596bb4898202032721833","sha256:2894873cc1e8862e8bac3e12e602c51303c6ec726e47cd56f0735d382ec7eae4"],"state_sha256":"a6be8bfd04daa4b1739aa7a898c099ba6b1fe56cb21d2f8322afd5ace9a0c342"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O0HBugT6arEe8LxyLn5V/PVSwHb97nNhMUfRxzZkudxZbP82E0UzqIg6VFY8xW45iuuABMeN1cOUpokQ4SSaCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T23:10:44.864846Z","bundle_sha256":"fc5d0cc675847b47697492ef333a137be35bf8d49f361e23ca61ded886361219"}}