{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:EGQOIAII5XT3IFOP32XBMH4PGH","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":"d5b48f90c6e7c17a23d3432233279884b5c9c00cd59dfce7a2bce4449213771a","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-01-25T02:49:58Z","title_canon_sha256":"6c4b44640ba032377e3c48627de8de2621d9694598b9e3c4b0e4b7590621f4d4"},"schema_version":"1.0","source":{"id":"1301.5955","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.5955","created_at":"2026-05-18T01:51:58Z"},{"alias_kind":"arxiv_version","alias_value":"1301.5955v1","created_at":"2026-05-18T01:51:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.5955","created_at":"2026-05-18T01:51:58Z"},{"alias_kind":"pith_short_12","alias_value":"EGQOIAII5XT3","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EGQOIAII5XT3IFOP","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EGQOIAII","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:bba690de159136f931d90581540cafd0421b8ec9c7709749e38ad4e6b6981771","target":"graph","created_at":"2026-05-18T01:51:58Z","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 the recent paper by Bernardini et al. [J. Comput. Phys. 232 (2013), 1-6] the discrepancy in the performance of finite difference and spectral models for simulations of flows with a preferential direction of propagation was studied. In a simplified investigation carried out using the viscous Burgers equation the authors attributed the poorer numerical results of finite difference models to a violation of Galilean invariance in the discretization and propose to carry out the computations in a reference frame moving with the bulk velocity of the flow. Here we further discuss this problem and r","authors_text":"Alexander Bihlo, Jean-Christophe Nave","cross_cats":["math-ph","math.MP","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-01-25T02:49:58Z","title":"Convecting reference frames and invariant numerical models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.5955","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":"sha256:77b20fe13e549379a87b968645c48c3f032b9bd675c80b52c5a49aca27c95cfa","target":"record","created_at":"2026-05-18T01:51:58Z","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":"d5b48f90c6e7c17a23d3432233279884b5c9c00cd59dfce7a2bce4449213771a","cross_cats_sorted":["math-ph","math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-01-25T02:49:58Z","title_canon_sha256":"6c4b44640ba032377e3c48627de8de2621d9694598b9e3c4b0e4b7590621f4d4"},"schema_version":"1.0","source":{"id":"1301.5955","kind":"arxiv","version":1}},"canonical_sha256":"21a0e40108ede7b415cfdeae161f8f31c5a1d31af1b4b4fef27b208c3e9f1711","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"21a0e40108ede7b415cfdeae161f8f31c5a1d31af1b4b4fef27b208c3e9f1711","first_computed_at":"2026-05-18T01:51:58.692124Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:51:58.692124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R23AeV1IDkiPbmtpqGdnheL5V1FN04INufhctFMLCMfW1PpuJ0KugVsrunnJqzBZiHzdIi2356C7kNfCrvDZAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:51:58.692693Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.5955","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77b20fe13e549379a87b968645c48c3f032b9bd675c80b52c5a49aca27c95cfa","sha256:bba690de159136f931d90581540cafd0421b8ec9c7709749e38ad4e6b6981771"],"state_sha256":"fb15945bb042c4c418836d6b460043d112019c5fc8c7a7786a7b9080feaeb68e"}