{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:K3YQFAU77MCXQ6ARVA63YCJWDG","short_pith_number":"pith:K3YQFAU7","canonical_record":{"source":{"id":"1607.08083","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2016-07-27T13:23:05Z","cross_cats_sorted":["cs.NA","math.NA","physics.flu-dyn"],"title_canon_sha256":"eff09beb3a48fb9c06f05df46cd48e0d4d09067956a6d11c6425be035a7d6c57","abstract_canon_sha256":"e4f224094fafd57349f115fac193964a9de378d004fffca04a2aea6f393894a0"},"schema_version":"1.0"},"canonical_sha256":"56f102829ffb05787811a83dbc093619a0266264f9b17af51c15eb95893ec443","source":{"kind":"arxiv","id":"1607.08083","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.08083","created_at":"2026-05-18T00:44:42Z"},{"alias_kind":"arxiv_version","alias_value":"1607.08083v2","created_at":"2026-05-18T00:44:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.08083","created_at":"2026-05-18T00:44:42Z"},{"alias_kind":"pith_short_12","alias_value":"K3YQFAU77MCX","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"K3YQFAU77MCXQ6AR","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"K3YQFAU7","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:K3YQFAU77MCXQ6ARVA63YCJWDG","target":"record","payload":{"canonical_record":{"source":{"id":"1607.08083","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2016-07-27T13:23:05Z","cross_cats_sorted":["cs.NA","math.NA","physics.flu-dyn"],"title_canon_sha256":"eff09beb3a48fb9c06f05df46cd48e0d4d09067956a6d11c6425be035a7d6c57","abstract_canon_sha256":"e4f224094fafd57349f115fac193964a9de378d004fffca04a2aea6f393894a0"},"schema_version":"1.0"},"canonical_sha256":"56f102829ffb05787811a83dbc093619a0266264f9b17af51c15eb95893ec443","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:42.505950Z","signature_b64":"XwX3wsNu6aMu5qCKCWijzCmjPTGBWxDU8bAyp2UYNPTMFy4HzciWXzIt2U+/REeZe6K9r+jXlEI8GiuSrQejCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"56f102829ffb05787811a83dbc093619a0266264f9b17af51c15eb95893ec443","last_reissued_at":"2026-05-18T00:44:42.505386Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:42.505386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.08083","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:44:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gE0TXnR+3kydkSwvIaekhvFPv6DcJVfLb4kKfvvZ1T9ZKlJL0c6EsGCg5v0XR3KcUYl7w4IVzB8wkwVd9dKsAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T09:18:03.093240Z"},"content_sha256":"8f0ed2ac4d1f884a2d70761ffe87df565825b43875f618c3bc1e8577f876337e","schema_version":"1.0","event_id":"sha256:8f0ed2ac4d1f884a2d70761ffe87df565825b43875f618c3bc1e8577f876337e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:K3YQFAU77MCXQ6ARVA63YCJWDG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Energy stable Monolithic Eulerian Fluid-Structure Numerical Scheme *","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA","physics.flu-dyn"],"primary_cat":"cs.CE","authors_text":"Olivier Pironneau (LJLL)","submitted_at":"2016-07-27T13:23:05Z","abstract_excerpt":"The conservation laws of continuum mechanic written in an Eulerian frame make no difference between fluids and solids except in the expression of the stress tensors, usually with Newton's hypothesis for the fluids and Helmholtz potentials of energy for hyperelastic solids. By taking the velocities as unknown , monolithic methods for fluid structure interactions (FSI) are built. In this article such a formulation is analyzed when the fluid is compressible and the fluid is incompressible. The idea is not new but the progress of mesh generators and numerical schemes like the Characteristics-Galer"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.08083","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T00:44:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a8JVXkE/Z2R2h3z3gay5sBDC0puIWBDbSNLoJP5j1YJMHRlp3E/XtGdncXgy30LTe8khkdE4egEWRd/qeZ6jAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T09:18:03.093645Z"},"content_sha256":"58d5d0e3e0f0592f758fe1c9712e53b64879e8fab9dca27dbcd173f7245e430b","schema_version":"1.0","event_id":"sha256:58d5d0e3e0f0592f758fe1c9712e53b64879e8fab9dca27dbcd173f7245e430b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K3YQFAU77MCXQ6ARVA63YCJWDG/bundle.json","state_url":"https://pith.science/pith/K3YQFAU77MCXQ6ARVA63YCJWDG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K3YQFAU77MCXQ6ARVA63YCJWDG/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":"2026-06-12T09:18:03Z","links":{"resolver":"https://pith.science/pith/K3YQFAU77MCXQ6ARVA63YCJWDG","bundle":"https://pith.science/pith/K3YQFAU77MCXQ6ARVA63YCJWDG/bundle.json","state":"https://pith.science/pith/K3YQFAU77MCXQ6ARVA63YCJWDG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K3YQFAU77MCXQ6ARVA63YCJWDG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:K3YQFAU77MCXQ6ARVA63YCJWDG","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":"e4f224094fafd57349f115fac193964a9de378d004fffca04a2aea6f393894a0","cross_cats_sorted":["cs.NA","math.NA","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2016-07-27T13:23:05Z","title_canon_sha256":"eff09beb3a48fb9c06f05df46cd48e0d4d09067956a6d11c6425be035a7d6c57"},"schema_version":"1.0","source":{"id":"1607.08083","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.08083","created_at":"2026-05-18T00:44:42Z"},{"alias_kind":"arxiv_version","alias_value":"1607.08083v2","created_at":"2026-05-18T00:44:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.08083","created_at":"2026-05-18T00:44:42Z"},{"alias_kind":"pith_short_12","alias_value":"K3YQFAU77MCX","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"K3YQFAU77MCXQ6AR","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"K3YQFAU7","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:58d5d0e3e0f0592f758fe1c9712e53b64879e8fab9dca27dbcd173f7245e430b","target":"graph","created_at":"2026-05-18T00:44:42Z","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":"The conservation laws of continuum mechanic written in an Eulerian frame make no difference between fluids and solids except in the expression of the stress tensors, usually with Newton's hypothesis for the fluids and Helmholtz potentials of energy for hyperelastic solids. By taking the velocities as unknown , monolithic methods for fluid structure interactions (FSI) are built. In this article such a formulation is analyzed when the fluid is compressible and the fluid is incompressible. The idea is not new but the progress of mesh generators and numerical schemes like the Characteristics-Galer","authors_text":"Olivier Pironneau (LJLL)","cross_cats":["cs.NA","math.NA","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2016-07-27T13:23:05Z","title":"An Energy stable Monolithic Eulerian Fluid-Structure Numerical Scheme *"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.08083","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":"sha256:8f0ed2ac4d1f884a2d70761ffe87df565825b43875f618c3bc1e8577f876337e","target":"record","created_at":"2026-05-18T00:44:42Z","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":"e4f224094fafd57349f115fac193964a9de378d004fffca04a2aea6f393894a0","cross_cats_sorted":["cs.NA","math.NA","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2016-07-27T13:23:05Z","title_canon_sha256":"eff09beb3a48fb9c06f05df46cd48e0d4d09067956a6d11c6425be035a7d6c57"},"schema_version":"1.0","source":{"id":"1607.08083","kind":"arxiv","version":2}},"canonical_sha256":"56f102829ffb05787811a83dbc093619a0266264f9b17af51c15eb95893ec443","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56f102829ffb05787811a83dbc093619a0266264f9b17af51c15eb95893ec443","first_computed_at":"2026-05-18T00:44:42.505386Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:42.505386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XwX3wsNu6aMu5qCKCWijzCmjPTGBWxDU8bAyp2UYNPTMFy4HzciWXzIt2U+/REeZe6K9r+jXlEI8GiuSrQejCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:42.505950Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.08083","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f0ed2ac4d1f884a2d70761ffe87df565825b43875f618c3bc1e8577f876337e","sha256:58d5d0e3e0f0592f758fe1c9712e53b64879e8fab9dca27dbcd173f7245e430b"],"state_sha256":"153418075cb6601ef598bec1bae8239548b98efdd0a45d5e0570952d18b87aa2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fdyzf/hzhbPUEXLGVy/vdv22zwV49MCVW6cQjx1QB56iazExldhHCxtrYXWW+FVmn53cfA6XQRTU/SFZj0+hBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T09:18:03.096131Z","bundle_sha256":"465dbf5c44f539e56d5dc616eb5c8e1340b476b75e7bb0699b0ddbf1aad3e96c"}}