{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:JOJXRLJXAYEC4UIF7ENG5VWXKF","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":"c54dbba3f5e085f74b97e9188233e163de2b2d9c85e4863a7088988ba258d12e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-12-29T06:38:09Z","title_canon_sha256":"73d02380d3392929c8f3edb4a3430a77ed67d8917f5d2498cb3248c57e9093d2"},"schema_version":"1.0","source":{"id":"1012.5877","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.5877","created_at":"2026-05-18T03:37:53Z"},{"alias_kind":"arxiv_version","alias_value":"1012.5877v2","created_at":"2026-05-18T03:37:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5877","created_at":"2026-05-18T03:37:53Z"},{"alias_kind":"pith_short_12","alias_value":"JOJXRLJXAYEC","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JOJXRLJXAYEC4UIF","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JOJXRLJX","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:13646382445b5fad0fb42d29479aadced6b515accf4c38d7a48728c6d301f6fe","target":"graph","created_at":"2026-05-18T03:37:53Z","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":"This work presents a rigorous framework based on coarse-graining to analyze highly compressible turbulence. We show how the requirement that viscous effects on the dynamics of large-scale momentum and kinetic energy be negligible ---an inviscid criterion--- naturally supports a density weighted coarse-graining of the velocity field. Such a coarse-graining method is already known in the literature as Favre filtering; however its use has been primarily motivated by appealing modeling properties rather than underlying physical considerations. We also prove that kinetic energy injection can be loc","authors_text":"Hussein Aluie","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-12-29T06:38:09Z","title":"Scale decomposition in compressible turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5877","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:a45008523d1a7bc3ea0cff490ffa55b617e2dcde57d5c9caf5b929cf2fa5c9ee","target":"record","created_at":"2026-05-18T03:37:53Z","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":"c54dbba3f5e085f74b97e9188233e163de2b2d9c85e4863a7088988ba258d12e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-12-29T06:38:09Z","title_canon_sha256":"73d02380d3392929c8f3edb4a3430a77ed67d8917f5d2498cb3248c57e9093d2"},"schema_version":"1.0","source":{"id":"1012.5877","kind":"arxiv","version":2}},"canonical_sha256":"4b9378ad3706082e5105f91a6ed6d7516b307cb2d09838847eeac97f9106286e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b9378ad3706082e5105f91a6ed6d7516b307cb2d09838847eeac97f9106286e","first_computed_at":"2026-05-18T03:37:53.446918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:53.446918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7VtMt4CpeU2X5y+QxktKOUx1TyjDrfOvvppyi6ZqjPGZPGdIwgqh37e98MKzQH2LddalCi6Oqhthb4sV8uoRDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:53.447371Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.5877","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a45008523d1a7bc3ea0cff490ffa55b617e2dcde57d5c9caf5b929cf2fa5c9ee","sha256:13646382445b5fad0fb42d29479aadced6b515accf4c38d7a48728c6d301f6fe"],"state_sha256":"8517b00f336060d1866eee06549783bed0be1ff9247945f91b3a34af65d5ef48"}