{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:U2HJLT6DURBWNPMQ5FXWVRWLYV","short_pith_number":"pith:U2HJLT6D","canonical_record":{"source":{"id":"1611.06513","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-11-20T13:08:42Z","cross_cats_sorted":[],"title_canon_sha256":"8b6f4995d436f51b7d8aa65b548bab15ccd7c14364441935dce55288e2b21bfe","abstract_canon_sha256":"797ee7f835ca64881e764743b3555cf3230d0fe195ed0ed9dfbf14ed8b2e3457"},"schema_version":"1.0"},"canonical_sha256":"a68e95cfc3a44366bd90e96f6ac6cbc5534a25b6c6b5ba610f5299cd8f63efba","source":{"kind":"arxiv","id":"1611.06513","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.06513","created_at":"2026-05-18T00:57:36Z"},{"alias_kind":"arxiv_version","alias_value":"1611.06513v1","created_at":"2026-05-18T00:57:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.06513","created_at":"2026-05-18T00:57:36Z"},{"alias_kind":"pith_short_12","alias_value":"U2HJLT6DURBW","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"U2HJLT6DURBWNPMQ","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"U2HJLT6D","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:U2HJLT6DURBWNPMQ5FXWVRWLYV","target":"record","payload":{"canonical_record":{"source":{"id":"1611.06513","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-11-20T13:08:42Z","cross_cats_sorted":[],"title_canon_sha256":"8b6f4995d436f51b7d8aa65b548bab15ccd7c14364441935dce55288e2b21bfe","abstract_canon_sha256":"797ee7f835ca64881e764743b3555cf3230d0fe195ed0ed9dfbf14ed8b2e3457"},"schema_version":"1.0"},"canonical_sha256":"a68e95cfc3a44366bd90e96f6ac6cbc5534a25b6c6b5ba610f5299cd8f63efba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:36.574063Z","signature_b64":"2HGa37jPNnBIYVtpH6F0/LFX+GIkNIwYWJOy5pKToJjYAs6UFBd2a8qXArR76UNdT9/hza5WKmcBwm0rpSTbDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a68e95cfc3a44366bd90e96f6ac6cbc5534a25b6c6b5ba610f5299cd8f63efba","last_reissued_at":"2026-05-18T00:57:36.573339Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:36.573339Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.06513","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":"2026-05-18T00:57:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pEjy0iNHqkhuEpQFkyO6tx4V10rud++Ep07dChxaqLKELWckF1UXd7NyzFEYciac1ypp0D6a36d+IvVrlXTFAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T02:26:24.597013Z"},"content_sha256":"48c597ab8864f8c575df2e9ec73ee1abc07e3a3a02a06e8941a2ff8c0cb49867","schema_version":"1.0","event_id":"sha256:48c597ab8864f8c575df2e9ec73ee1abc07e3a3a02a06e8941a2ff8c0cb49867"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:U2HJLT6DURBWNPMQ5FXWVRWLYV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the role of thermal boundary conditions in dynamo scaling laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Ludivine Oruba","submitted_at":"2016-11-20T13:08:42Z","abstract_excerpt":"In dynamo power-based scaling laws, the power $P$ injected by buoyancy forces is measured by a so-called flux-based Rayleigh number, denoted as ${\\rm Ra}_Q^*$ (see Christensen and Aubert, 2006). Whereas it is widely accepted that this parameter is measured (as opposite to controlled) in dynamos driven by differential heating, the literature is much less clear concerning its nature in the case of imposed heat flux. We clarify this issue by highlighting that in that case, the ${\\rm Ra}_{Q}^*$ parameter becomes controlled only in the limit of large Nusselt numbers (${\\rm Nu} \\gg 1$).\n  We then ad"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.06513","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":"2026-05-18T00:57:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7H0jQLDyPoMzCPqMz57eZGgxMGzWDP1KgDuZ1t9FFm11/Jtp84945l98Ma3+SXybrxCD8QTQq7FvfIaAeD7LAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T02:26:24.597363Z"},"content_sha256":"592571e14ac13d5177839e5d05ec120ea919c96b9a3bebd5d2cc9de01596dde6","schema_version":"1.0","event_id":"sha256:592571e14ac13d5177839e5d05ec120ea919c96b9a3bebd5d2cc9de01596dde6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U2HJLT6DURBWNPMQ5FXWVRWLYV/bundle.json","state_url":"https://pith.science/pith/U2HJLT6DURBWNPMQ5FXWVRWLYV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U2HJLT6DURBWNPMQ5FXWVRWLYV/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":"2026-06-28T02:26:24Z","links":{"resolver":"https://pith.science/pith/U2HJLT6DURBWNPMQ5FXWVRWLYV","bundle":"https://pith.science/pith/U2HJLT6DURBWNPMQ5FXWVRWLYV/bundle.json","state":"https://pith.science/pith/U2HJLT6DURBWNPMQ5FXWVRWLYV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U2HJLT6DURBWNPMQ5FXWVRWLYV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:U2HJLT6DURBWNPMQ5FXWVRWLYV","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":"797ee7f835ca64881e764743b3555cf3230d0fe195ed0ed9dfbf14ed8b2e3457","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-11-20T13:08:42Z","title_canon_sha256":"8b6f4995d436f51b7d8aa65b548bab15ccd7c14364441935dce55288e2b21bfe"},"schema_version":"1.0","source":{"id":"1611.06513","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.06513","created_at":"2026-05-18T00:57:36Z"},{"alias_kind":"arxiv_version","alias_value":"1611.06513v1","created_at":"2026-05-18T00:57:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.06513","created_at":"2026-05-18T00:57:36Z"},{"alias_kind":"pith_short_12","alias_value":"U2HJLT6DURBW","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"U2HJLT6DURBWNPMQ","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"U2HJLT6D","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:592571e14ac13d5177839e5d05ec120ea919c96b9a3bebd5d2cc9de01596dde6","target":"graph","created_at":"2026-05-18T00:57:36Z","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 dynamo power-based scaling laws, the power $P$ injected by buoyancy forces is measured by a so-called flux-based Rayleigh number, denoted as ${\\rm Ra}_Q^*$ (see Christensen and Aubert, 2006). Whereas it is widely accepted that this parameter is measured (as opposite to controlled) in dynamos driven by differential heating, the literature is much less clear concerning its nature in the case of imposed heat flux. We clarify this issue by highlighting that in that case, the ${\\rm Ra}_{Q}^*$ parameter becomes controlled only in the limit of large Nusselt numbers (${\\rm Nu} \\gg 1$).\n  We then ad","authors_text":"Ludivine Oruba","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-11-20T13:08:42Z","title":"On the role of thermal boundary conditions in dynamo scaling laws"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.06513","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":"sha256:48c597ab8864f8c575df2e9ec73ee1abc07e3a3a02a06e8941a2ff8c0cb49867","target":"record","created_at":"2026-05-18T00:57:36Z","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":"797ee7f835ca64881e764743b3555cf3230d0fe195ed0ed9dfbf14ed8b2e3457","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-11-20T13:08:42Z","title_canon_sha256":"8b6f4995d436f51b7d8aa65b548bab15ccd7c14364441935dce55288e2b21bfe"},"schema_version":"1.0","source":{"id":"1611.06513","kind":"arxiv","version":1}},"canonical_sha256":"a68e95cfc3a44366bd90e96f6ac6cbc5534a25b6c6b5ba610f5299cd8f63efba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a68e95cfc3a44366bd90e96f6ac6cbc5534a25b6c6b5ba610f5299cd8f63efba","first_computed_at":"2026-05-18T00:57:36.573339Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:36.573339Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2HGa37jPNnBIYVtpH6F0/LFX+GIkNIwYWJOy5pKToJjYAs6UFBd2a8qXArR76UNdT9/hza5WKmcBwm0rpSTbDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:36.574063Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.06513","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:48c597ab8864f8c575df2e9ec73ee1abc07e3a3a02a06e8941a2ff8c0cb49867","sha256:592571e14ac13d5177839e5d05ec120ea919c96b9a3bebd5d2cc9de01596dde6"],"state_sha256":"3da12919c73e501f35a69ea4473567157b29538aaa69c61f87a812b97140fef8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2eDyD5fVv1QubbQqnEKsBUNUwMjkeDN1wJ/hV6IUZgNVlsuth37WeAv2zfBG1Uwo0L4Ajko2UOxaq/FRHRJOCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T02:26:24.599359Z","bundle_sha256":"7ed10cf02b1034431a0bb49231ea983874158fda2dda57b587360007ae7f8ecc"}}