{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:FWZH2G3FT6Y4GJFK5MU6AUACHY","short_pith_number":"pith:FWZH2G3F","canonical_record":{"source":{"id":"1601.03445","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-01-13T23:43:50Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"6f7599a83bf59c4deeef7d1fa7c283aa4bd533357196d196bd12df11a446a28e","abstract_canon_sha256":"e7022ffbdbf940c2fdf8b7208e3d4ff948c5e91d66fd0213948e96f6b493a269"},"schema_version":"1.0"},"canonical_sha256":"2db27d1b659fb1c324aaeb29e050023e0660bade061024e67d8251ff3d21d820","source":{"kind":"arxiv","id":"1601.03445","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.03445","created_at":"2026-05-18T00:54:41Z"},{"alias_kind":"arxiv_version","alias_value":"1601.03445v1","created_at":"2026-05-18T00:54:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.03445","created_at":"2026-05-18T00:54:41Z"},{"alias_kind":"pith_short_12","alias_value":"FWZH2G3FT6Y4","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FWZH2G3FT6Y4GJFK","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FWZH2G3F","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:FWZH2G3FT6Y4GJFK5MU6AUACHY","target":"record","payload":{"canonical_record":{"source":{"id":"1601.03445","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-01-13T23:43:50Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"6f7599a83bf59c4deeef7d1fa7c283aa4bd533357196d196bd12df11a446a28e","abstract_canon_sha256":"e7022ffbdbf940c2fdf8b7208e3d4ff948c5e91d66fd0213948e96f6b493a269"},"schema_version":"1.0"},"canonical_sha256":"2db27d1b659fb1c324aaeb29e050023e0660bade061024e67d8251ff3d21d820","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:41.003304Z","signature_b64":"wABiBcryNyBvKJhwKmrHUHdox7+y9yCNbGHTn3bbUBFkUpLrqdXnPVjztA5eJ5jUAP82GrtsEXH1Q58+0vfeDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2db27d1b659fb1c324aaeb29e050023e0660bade061024e67d8251ff3d21d820","last_reissued_at":"2026-05-18T00:54:41.002788Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:41.002788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.03445","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":"2026-05-18T00:54:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ew/nKAi1bQc0mrTTGv6fxMeEciFEGQtNFLjK3k3rA3L99Sv5VUbe3Iarqh7zknh6m7v8wGejdLX6C9bMJQqgAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:37:58.291609Z"},"content_sha256":"f2b990030daa87ebdace2b492cd68b208c2685fd05637262b979ddb168bb370a","schema_version":"1.0","event_id":"sha256:f2b990030daa87ebdace2b492cd68b208c2685fd05637262b979ddb168bb370a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:FWZH2G3FT6Y4GJFK5MU6AUACHY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear effects in buoyancy-driven variable density turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"physics.flu-dyn","authors_text":"C. P. Caulfield, J.D. Gibbon, P. Rao","submitted_at":"2016-01-13T23:43:50Z","abstract_excerpt":"We consider the time-dependence of a hierarchy of scaled $L^{2m}$-norms $D_{m,\\omega}$ and $D_{m,\\theta}$ of the vorticity $\\boldsymbol {\\omega} = \\boldsymbol{\\nabla} \\times {\\mathbf u}$ and the density gradient $\\boldsymbol{\\nabla} \\theta$, where $\\theta=\\log (\\rho^*/\\rho^*_0)$, in a buoyancy-driven turbulent flow as simulated by \\cite{LR2007}. $\\rho^*({\\mathbf x},\\,t) $ is the composition density of a mixture of two incompressible miscible fluids with fluid densities $\\rho^*_2 > \\rho^*_1$ and $\\rho^*_{0}$ is a reference normalisation density. Using data from the publicly available Johns Hopk"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.03445","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":"2026-05-18T00:54:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J13VQ6GlDp9I4Oax+VvaKZ/2op1ZmWslCguWVYcYlzrLuXvL3SdkPbSnC+HGUADOP2yfPB0cREGrjGlVkwvdDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:37:58.292271Z"},"content_sha256":"1a9c0fc78e31d4b4858a0681d7c4c5ba13bf70b5560622475670ac345008d42c","schema_version":"1.0","event_id":"sha256:1a9c0fc78e31d4b4858a0681d7c4c5ba13bf70b5560622475670ac345008d42c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FWZH2G3FT6Y4GJFK5MU6AUACHY/bundle.json","state_url":"https://pith.science/pith/FWZH2G3FT6Y4GJFK5MU6AUACHY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FWZH2G3FT6Y4GJFK5MU6AUACHY/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":"2026-06-05T20:37:58Z","links":{"resolver":"https://pith.science/pith/FWZH2G3FT6Y4GJFK5MU6AUACHY","bundle":"https://pith.science/pith/FWZH2G3FT6Y4GJFK5MU6AUACHY/bundle.json","state":"https://pith.science/pith/FWZH2G3FT6Y4GJFK5MU6AUACHY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FWZH2G3FT6Y4GJFK5MU6AUACHY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FWZH2G3FT6Y4GJFK5MU6AUACHY","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":"e7022ffbdbf940c2fdf8b7208e3d4ff948c5e91d66fd0213948e96f6b493a269","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-01-13T23:43:50Z","title_canon_sha256":"6f7599a83bf59c4deeef7d1fa7c283aa4bd533357196d196bd12df11a446a28e"},"schema_version":"1.0","source":{"id":"1601.03445","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.03445","created_at":"2026-05-18T00:54:41Z"},{"alias_kind":"arxiv_version","alias_value":"1601.03445v1","created_at":"2026-05-18T00:54:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.03445","created_at":"2026-05-18T00:54:41Z"},{"alias_kind":"pith_short_12","alias_value":"FWZH2G3FT6Y4","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FWZH2G3FT6Y4GJFK","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FWZH2G3F","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:1a9c0fc78e31d4b4858a0681d7c4c5ba13bf70b5560622475670ac345008d42c","target":"graph","created_at":"2026-05-18T00:54:41Z","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":"We consider the time-dependence of a hierarchy of scaled $L^{2m}$-norms $D_{m,\\omega}$ and $D_{m,\\theta}$ of the vorticity $\\boldsymbol {\\omega} = \\boldsymbol{\\nabla} \\times {\\mathbf u}$ and the density gradient $\\boldsymbol{\\nabla} \\theta$, where $\\theta=\\log (\\rho^*/\\rho^*_0)$, in a buoyancy-driven turbulent flow as simulated by \\cite{LR2007}. $\\rho^*({\\mathbf x},\\,t) $ is the composition density of a mixture of two incompressible miscible fluids with fluid densities $\\rho^*_2 > \\rho^*_1$ and $\\rho^*_{0}$ is a reference normalisation density. Using data from the publicly available Johns Hopk","authors_text":"C. P. Caulfield, J.D. Gibbon, P. Rao","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-01-13T23:43:50Z","title":"Nonlinear effects in buoyancy-driven variable density turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.03445","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:f2b990030daa87ebdace2b492cd68b208c2685fd05637262b979ddb168bb370a","target":"record","created_at":"2026-05-18T00:54:41Z","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":"e7022ffbdbf940c2fdf8b7208e3d4ff948c5e91d66fd0213948e96f6b493a269","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-01-13T23:43:50Z","title_canon_sha256":"6f7599a83bf59c4deeef7d1fa7c283aa4bd533357196d196bd12df11a446a28e"},"schema_version":"1.0","source":{"id":"1601.03445","kind":"arxiv","version":1}},"canonical_sha256":"2db27d1b659fb1c324aaeb29e050023e0660bade061024e67d8251ff3d21d820","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2db27d1b659fb1c324aaeb29e050023e0660bade061024e67d8251ff3d21d820","first_computed_at":"2026-05-18T00:54:41.002788Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:41.002788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wABiBcryNyBvKJhwKmrHUHdox7+y9yCNbGHTn3bbUBFkUpLrqdXnPVjztA5eJ5jUAP82GrtsEXH1Q58+0vfeDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:41.003304Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.03445","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2b990030daa87ebdace2b492cd68b208c2685fd05637262b979ddb168bb370a","sha256:1a9c0fc78e31d4b4858a0681d7c4c5ba13bf70b5560622475670ac345008d42c"],"state_sha256":"1e80b6a99bee630bc9f37cabac006d96526bc8996c1727789ae5cdb74c48ee7c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BjApmxatLWxDqzbl5QBRlZI+hSDHZdydhJGyZnyPWvz8UKXhDwTUxDDgwCRCqsfXhiY3XkWR9mRUvVIPcjUeAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T20:37:58.295862Z","bundle_sha256":"7e34ed67f1a6dcb1a352db1c71cfaf0640a7b73476e677fe73ae397f15910b9d"}}