{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:J3LGM6VH6FXAHSRRGNB3D766KR","short_pith_number":"pith:J3LGM6VH","canonical_record":{"source":{"id":"1602.06185","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-02-19T15:38:26Z","cross_cats_sorted":["astro-ph.HE"],"title_canon_sha256":"ebf7c15beacb7925dadaf1049b0a330ebb92222b7cdff387f794de4400bd3682","abstract_canon_sha256":"ee894766a57315f73b7a3f90941091836be216219888a6bdc65b3bda56dc8e09"},"schema_version":"1.0"},"canonical_sha256":"4ed6667aa7f16e03ca313343b1ffde546d35947c1710f988b436b7580ede1b6d","source":{"kind":"arxiv","id":"1602.06185","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.06185","created_at":"2026-05-18T01:13:15Z"},{"alias_kind":"arxiv_version","alias_value":"1602.06185v1","created_at":"2026-05-18T01:13:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06185","created_at":"2026-05-18T01:13:15Z"},{"alias_kind":"pith_short_12","alias_value":"J3LGM6VH6FXA","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"J3LGM6VH6FXAHSRR","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"J3LGM6VH","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:J3LGM6VH6FXAHSRRGNB3D766KR","target":"record","payload":{"canonical_record":{"source":{"id":"1602.06185","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-02-19T15:38:26Z","cross_cats_sorted":["astro-ph.HE"],"title_canon_sha256":"ebf7c15beacb7925dadaf1049b0a330ebb92222b7cdff387f794de4400bd3682","abstract_canon_sha256":"ee894766a57315f73b7a3f90941091836be216219888a6bdc65b3bda56dc8e09"},"schema_version":"1.0"},"canonical_sha256":"4ed6667aa7f16e03ca313343b1ffde546d35947c1710f988b436b7580ede1b6d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:15.250947Z","signature_b64":"Z2CR4HD2+5CTCkPCU2so0+/3WuISBvql9aaZJxA4dRFwap2jomxcLyaUXJpvHKdtTSSMDdXXVV6DcQe9Mqg2Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ed6667aa7f16e03ca313343b1ffde546d35947c1710f988b436b7580ede1b6d","last_reissued_at":"2026-05-18T01:13:15.250523Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:15.250523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.06185","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":"2026-05-18T01:13:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NZgyYAttxn0YY/+iLDagqu9FwdtOQWYc3s8gLAAQr7S/fhm/T/u0lyFNCoNlDvpH8uU6MWL1vUSSi1q7Xja+Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T04:07:10.449423Z"},"content_sha256":"c850b7dfda57c957c04ed9a814ecd76aed4495844a1c550ad8303842180b6be2","schema_version":"1.0","event_id":"sha256:c850b7dfda57c957c04ed9a814ecd76aed4495844a1c550ad8303842180b6be2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:J3LGM6VH6FXAHSRRGNB3D766KR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalised quasi-linear approximation of the HMRI","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE"],"primary_cat":"physics.flu-dyn","authors_text":"Adam Child, Brad Marston, Rainer Hollerbach, Steven Tobias","submitted_at":"2016-02-19T15:38:26Z","abstract_excerpt":"Motivated by recent advances in Direct Statistical Simulation (DSS) of astrophysical phenomena such as out of equilibrium jets, we perform a Direct Numerical Simulation (DNS) of the helical magnetorotational instability (HMRI) under the generalised quasilinear approximation (GQL). This approximation generalises the quasilinear approximation (QL) to include the self-consistent interaction of large-scale modes, interpolating between fully nonlinear DNS and QL DNS whilst still remaining formally linear in the small scales. In this paper we address whether GQL can more accurately describe low-orde"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06185","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":""},"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":"2026-05-18T01:13:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BMs0VIP5Ed2n3vywDddkoUinOieVB4czMznBeorJKElkPvRfqvHfiIlz1Cy8SHWT899p9aXLzLyOEzrJA3FvDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T04:07:10.450164Z"},"content_sha256":"2c0c10130859110770f68a6f7e64dff3e7126c74783e8467cc1d02b089fc271e","schema_version":"1.0","event_id":"sha256:2c0c10130859110770f68a6f7e64dff3e7126c74783e8467cc1d02b089fc271e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J3LGM6VH6FXAHSRRGNB3D766KR/bundle.json","state_url":"https://pith.science/pith/J3LGM6VH6FXAHSRRGNB3D766KR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J3LGM6VH6FXAHSRRGNB3D766KR/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":"2026-06-11T04:07:10Z","links":{"resolver":"https://pith.science/pith/J3LGM6VH6FXAHSRRGNB3D766KR","bundle":"https://pith.science/pith/J3LGM6VH6FXAHSRRGNB3D766KR/bundle.json","state":"https://pith.science/pith/J3LGM6VH6FXAHSRRGNB3D766KR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J3LGM6VH6FXAHSRRGNB3D766KR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:J3LGM6VH6FXAHSRRGNB3D766KR","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":"ee894766a57315f73b7a3f90941091836be216219888a6bdc65b3bda56dc8e09","cross_cats_sorted":["astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-02-19T15:38:26Z","title_canon_sha256":"ebf7c15beacb7925dadaf1049b0a330ebb92222b7cdff387f794de4400bd3682"},"schema_version":"1.0","source":{"id":"1602.06185","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.06185","created_at":"2026-05-18T01:13:15Z"},{"alias_kind":"arxiv_version","alias_value":"1602.06185v1","created_at":"2026-05-18T01:13:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06185","created_at":"2026-05-18T01:13:15Z"},{"alias_kind":"pith_short_12","alias_value":"J3LGM6VH6FXA","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"J3LGM6VH6FXAHSRR","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"J3LGM6VH","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:2c0c10130859110770f68a6f7e64dff3e7126c74783e8467cc1d02b089fc271e","target":"graph","created_at":"2026-05-18T01:13:15Z","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":"Motivated by recent advances in Direct Statistical Simulation (DSS) of astrophysical phenomena such as out of equilibrium jets, we perform a Direct Numerical Simulation (DNS) of the helical magnetorotational instability (HMRI) under the generalised quasilinear approximation (GQL). This approximation generalises the quasilinear approximation (QL) to include the self-consistent interaction of large-scale modes, interpolating between fully nonlinear DNS and QL DNS whilst still remaining formally linear in the small scales. In this paper we address whether GQL can more accurately describe low-orde","authors_text":"Adam Child, Brad Marston, Rainer Hollerbach, Steven Tobias","cross_cats":["astro-ph.HE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-02-19T15:38:26Z","title":"Generalised quasi-linear approximation of the HMRI"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06185","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:c850b7dfda57c957c04ed9a814ecd76aed4495844a1c550ad8303842180b6be2","target":"record","created_at":"2026-05-18T01:13:15Z","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":"ee894766a57315f73b7a3f90941091836be216219888a6bdc65b3bda56dc8e09","cross_cats_sorted":["astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-02-19T15:38:26Z","title_canon_sha256":"ebf7c15beacb7925dadaf1049b0a330ebb92222b7cdff387f794de4400bd3682"},"schema_version":"1.0","source":{"id":"1602.06185","kind":"arxiv","version":1}},"canonical_sha256":"4ed6667aa7f16e03ca313343b1ffde546d35947c1710f988b436b7580ede1b6d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ed6667aa7f16e03ca313343b1ffde546d35947c1710f988b436b7580ede1b6d","first_computed_at":"2026-05-18T01:13:15.250523Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:15.250523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z2CR4HD2+5CTCkPCU2so0+/3WuISBvql9aaZJxA4dRFwap2jomxcLyaUXJpvHKdtTSSMDdXXVV6DcQe9Mqg2Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:15.250947Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.06185","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c850b7dfda57c957c04ed9a814ecd76aed4495844a1c550ad8303842180b6be2","sha256:2c0c10130859110770f68a6f7e64dff3e7126c74783e8467cc1d02b089fc271e"],"state_sha256":"6ffd5b757fa5fe7e77d6f09317e27369c2332891e5aab51c33ef27252a842425"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q+r7Um4LqTR0A00HljCA0HDUAkxGaa9QjlIZMH2DFVSHoGDcTqBCe6q3y1VTBnJvp+9AOYxnor0vnggfWv+sCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T04:07:10.453842Z","bundle_sha256":"c66be5076af129d62e7334c36747a8df7eb4c011a14cdaf2095f7e4f0ae1a9ec"}}