{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:N3RANGY466XIUCTMQGHGGDC4NJ","short_pith_number":"pith:N3RANGY4","canonical_record":{"source":{"id":"1501.07170","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-01-28T16:14:17Z","cross_cats_sorted":["astro-ph.GA","astro-ph.SR","physics.plasm-ph"],"title_canon_sha256":"85d362ffabcce458ca698505fbf378dafa0abe032fda8172687db69860da82f2","abstract_canon_sha256":"0e5ef4a1493324e1ac36dcc448c1e3a901cf50ab8413ad3f94f52e8adbd8da1e"},"schema_version":"1.0"},"canonical_sha256":"6ee2069b1cf7ae8a0a6c818e630c5c6a58de2ec3c1b1edd5161bb3f253e50526","source":{"kind":"arxiv","id":"1501.07170","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.07170","created_at":"2026-05-18T02:25:55Z"},{"alias_kind":"arxiv_version","alias_value":"1501.07170v2","created_at":"2026-05-18T02:25:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.07170","created_at":"2026-05-18T02:25:55Z"},{"alias_kind":"pith_short_12","alias_value":"N3RANGY466XI","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"N3RANGY466XIUCTM","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"N3RANGY4","created_at":"2026-05-18T12:29:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:N3RANGY466XIUCTMQGHGGDC4NJ","target":"record","payload":{"canonical_record":{"source":{"id":"1501.07170","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-01-28T16:14:17Z","cross_cats_sorted":["astro-ph.GA","astro-ph.SR","physics.plasm-ph"],"title_canon_sha256":"85d362ffabcce458ca698505fbf378dafa0abe032fda8172687db69860da82f2","abstract_canon_sha256":"0e5ef4a1493324e1ac36dcc448c1e3a901cf50ab8413ad3f94f52e8adbd8da1e"},"schema_version":"1.0"},"canonical_sha256":"6ee2069b1cf7ae8a0a6c818e630c5c6a58de2ec3c1b1edd5161bb3f253e50526","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:55.548691Z","signature_b64":"Jq/ugvFwh56lK+fkYQpsI4Q1k6ILVTVvjBdHVfXwGIX0MZR7MnqLhidCgAg+MN8zH5cRldPn48Ogclk0+gkoDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ee2069b1cf7ae8a0a6c818e630c5c6a58de2ec3c1b1edd5161bb3f253e50526","last_reissued_at":"2026-05-18T02:25:55.548297Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:55.548297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.07170","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":"2026-05-18T02:25:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RjbfCGjMNevCCvFka7lqJpEDjE3Ojtj/qFHpL9szTMnKWh1z9rYRqCEJfYJr5YNsivB8WOL5s+e9sp/wlw6nBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T13:54:52.482303Z"},"content_sha256":"71ce85cc7db7b2c2f37f697290d2bcfd089a6d8884b777ffd0702e53ecb5e715","schema_version":"1.0","event_id":"sha256:71ce85cc7db7b2c2f37f697290d2bcfd089a6d8884b777ffd0702e53ecb5e715"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:N3RANGY466XIUCTMQGHGGDC4NJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear closures for scale separation in supersonic magnetohydrodynamic turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA","astro-ph.SR","physics.plasm-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Christoph Federrath, Dimitar G Vlaykov, Dominik R G Schleicher, Philipp Grete, Wolfram Schmidt","submitted_at":"2015-01-28T16:14:17Z","abstract_excerpt":"Turbulence in compressible plasma plays a key role in many areas of astrophysics and engineering. The extreme plasma parameters in these environments, e.g. high Reynolds numbers, supersonic and super-Alfvenic flows, however, make direct numerical simulations computationally intractable even for the simplest treatment -- magnetohydrodynamics (MHD). To overcome this problem one can use subgrid-scale (SGS) closures -- models for the influence of unresolved, subgrid-scales on the resolved ones. In this work we propose and validate a set of constant coefficient closures for the resolved, compressib"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.07170","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":"2026-05-18T02:25:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J5lwoaj/5uk/l2N+sUhTZTZNbwGcPmrwPj8q3+UNgnyEWOOdjWVGisS4Jzf9LLqpX2QCzRIv4b3r3wkXzwFcBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T13:54:52.482688Z"},"content_sha256":"c55f37de43ba947b92e2b5e1d732a3ac3c309c20cbed65f19dcdab71430daf8f","schema_version":"1.0","event_id":"sha256:c55f37de43ba947b92e2b5e1d732a3ac3c309c20cbed65f19dcdab71430daf8f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N3RANGY466XIUCTMQGHGGDC4NJ/bundle.json","state_url":"https://pith.science/pith/N3RANGY466XIUCTMQGHGGDC4NJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N3RANGY466XIUCTMQGHGGDC4NJ/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":"2026-06-04T13:54:52Z","links":{"resolver":"https://pith.science/pith/N3RANGY466XIUCTMQGHGGDC4NJ","bundle":"https://pith.science/pith/N3RANGY466XIUCTMQGHGGDC4NJ/bundle.json","state":"https://pith.science/pith/N3RANGY466XIUCTMQGHGGDC4NJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N3RANGY466XIUCTMQGHGGDC4NJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:N3RANGY466XIUCTMQGHGGDC4NJ","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":"0e5ef4a1493324e1ac36dcc448c1e3a901cf50ab8413ad3f94f52e8adbd8da1e","cross_cats_sorted":["astro-ph.GA","astro-ph.SR","physics.plasm-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-01-28T16:14:17Z","title_canon_sha256":"85d362ffabcce458ca698505fbf378dafa0abe032fda8172687db69860da82f2"},"schema_version":"1.0","source":{"id":"1501.07170","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.07170","created_at":"2026-05-18T02:25:55Z"},{"alias_kind":"arxiv_version","alias_value":"1501.07170v2","created_at":"2026-05-18T02:25:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.07170","created_at":"2026-05-18T02:25:55Z"},{"alias_kind":"pith_short_12","alias_value":"N3RANGY466XI","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"N3RANGY466XIUCTM","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"N3RANGY4","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:c55f37de43ba947b92e2b5e1d732a3ac3c309c20cbed65f19dcdab71430daf8f","target":"graph","created_at":"2026-05-18T02:25:55Z","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":"Turbulence in compressible plasma plays a key role in many areas of astrophysics and engineering. The extreme plasma parameters in these environments, e.g. high Reynolds numbers, supersonic and super-Alfvenic flows, however, make direct numerical simulations computationally intractable even for the simplest treatment -- magnetohydrodynamics (MHD). To overcome this problem one can use subgrid-scale (SGS) closures -- models for the influence of unresolved, subgrid-scales on the resolved ones. In this work we propose and validate a set of constant coefficient closures for the resolved, compressib","authors_text":"Christoph Federrath, Dimitar G Vlaykov, Dominik R G Schleicher, Philipp Grete, Wolfram Schmidt","cross_cats":["astro-ph.GA","astro-ph.SR","physics.plasm-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-01-28T16:14:17Z","title":"Nonlinear closures for scale separation in supersonic magnetohydrodynamic turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.07170","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":"sha256:71ce85cc7db7b2c2f37f697290d2bcfd089a6d8884b777ffd0702e53ecb5e715","target":"record","created_at":"2026-05-18T02:25:55Z","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":"0e5ef4a1493324e1ac36dcc448c1e3a901cf50ab8413ad3f94f52e8adbd8da1e","cross_cats_sorted":["astro-ph.GA","astro-ph.SR","physics.plasm-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-01-28T16:14:17Z","title_canon_sha256":"85d362ffabcce458ca698505fbf378dafa0abe032fda8172687db69860da82f2"},"schema_version":"1.0","source":{"id":"1501.07170","kind":"arxiv","version":2}},"canonical_sha256":"6ee2069b1cf7ae8a0a6c818e630c5c6a58de2ec3c1b1edd5161bb3f253e50526","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ee2069b1cf7ae8a0a6c818e630c5c6a58de2ec3c1b1edd5161bb3f253e50526","first_computed_at":"2026-05-18T02:25:55.548297Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:55.548297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Jq/ugvFwh56lK+fkYQpsI4Q1k6ILVTVvjBdHVfXwGIX0MZR7MnqLhidCgAg+MN8zH5cRldPn48Ogclk0+gkoDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:55.548691Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.07170","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:71ce85cc7db7b2c2f37f697290d2bcfd089a6d8884b777ffd0702e53ecb5e715","sha256:c55f37de43ba947b92e2b5e1d732a3ac3c309c20cbed65f19dcdab71430daf8f"],"state_sha256":"cd2fd4f05399d31445e12c198d12ef0422650f6ba1928d618cb886f36059cc47"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d/7erOxLHWfOsw6fPOasJKfxp3mKBLOyjQz0G7cVLw2LJL/JLyICDuJoLdaNC1S6Mpo5AeaiFsfHrcn8rjlcAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T13:54:52.485051Z","bundle_sha256":"adaeaf73632b5a8cff98b46be340259c5e09d0a451a848c1fdf7b377dce0068b"}}