{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:3LEP4RGN2XDLT73TJX67LW2UCN","short_pith_number":"pith:3LEP4RGN","canonical_record":{"source":{"id":"nlin/0009045","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.CD","submitted_at":"2000-09-25T16:49:02Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"5ece621d057a110ff75504bad13f49472f428a34e9382a82a1321006e9dfdcfc","abstract_canon_sha256":"8bb08fdebbff6e72871592c5f53c2495b5560b5f7d64c6d39079049072f11ba2"},"schema_version":"1.0"},"canonical_sha256":"dac8fe44cdd5c6b9ff734dfdf5db5413562759fdc90fedad8b4b4817d1ba1311","source":{"kind":"arxiv","id":"nlin/0009045","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0009045","created_at":"2026-07-04T16:21:25Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0009045v1","created_at":"2026-07-04T16:21:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0009045","created_at":"2026-07-04T16:21:25Z"},{"alias_kind":"pith_short_12","alias_value":"3LEP4RGN2XDL","created_at":"2026-07-04T16:21:25Z"},{"alias_kind":"pith_short_16","alias_value":"3LEP4RGN2XDLT73T","created_at":"2026-07-04T16:21:25Z"},{"alias_kind":"pith_short_8","alias_value":"3LEP4RGN","created_at":"2026-07-04T16:21:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:3LEP4RGN2XDLT73TJX67LW2UCN","target":"record","payload":{"canonical_record":{"source":{"id":"nlin/0009045","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.CD","submitted_at":"2000-09-25T16:49:02Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"5ece621d057a110ff75504bad13f49472f428a34e9382a82a1321006e9dfdcfc","abstract_canon_sha256":"8bb08fdebbff6e72871592c5f53c2495b5560b5f7d64c6d39079049072f11ba2"},"schema_version":"1.0"},"canonical_sha256":"dac8fe44cdd5c6b9ff734dfdf5db5413562759fdc90fedad8b4b4817d1ba1311","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:21:25.005063Z","signature_b64":"Ii9ZbUizTePxllRtaQa2/XZCBd0SDHIQfjI3DGCEsSWk5Ad6fAFOwJ8ta0v5Fx8U9TokuqJYjhe4hYoB34P7DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dac8fe44cdd5c6b9ff734dfdf5db5413562759fdc90fedad8b4b4817d1ba1311","last_reissued_at":"2026-07-04T16:21:25.004421Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:21:25.004421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nlin/0009045","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":"2026-07-04T16:21:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XyDM/aZgo9cj2lHYPQbIwqbFak6ifjfMch4jJXxGbg2J3QvHWycaRVFg7+uddQFdFcTIH1Zd5gNJKUxvlEUPCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T15:34:16.911617Z"},"content_sha256":"618b4a6c0fd395362576b500b63e7ce54d6713a20f756256a7cbc5b5feae76ac","schema_version":"1.0","event_id":"sha256:618b4a6c0fd395362576b500b63e7ce54d6713a20f756256a7cbc5b5feae76ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:3LEP4RGN2XDLT73TJX67LW2UCN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scaling of global momentum transport in Taylor-Couette and pipe flow","license":"","headline":"","cross_cats":["nlin.PS"],"primary_cat":"nlin.CD","authors_text":"Bruno Eckhardt, Detlef Lohse, Siegfried Grossmann","submitted_at":"2000-09-25T16:49:02Z","abstract_excerpt":"We interpret measurements of the Reynolds number dependence of the torque in Taylor-Couette flow by Lewis and Swinney [Phys. Rev. E 59, 5457 (1999)] and of the pressure drop in pipe flow by Smits and Zagarola, [Phys. Fluids 10, 1045 (1998)] within the scaling theory of Grossmann and Lohse [J. Fluid Mech. 407, 27 (2000)], developed in the context of thermal convection. The main idea is to split the energy dissipation into contributions from a boundary layer and the turbulent bulk. This ansatz can account for the observed scaling in both cases if it is assumed that the internal wind velocity $U_"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0009045","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/nlin/0009045/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:21:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y3y00rCX9e6peIBlsVfWKOGgCyqo1WQfSBLHCSXoynKOZ5sK20mCAmUKocKM7A+ZcY5IRJmoR6DQOopDJdX6Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T15:34:16.911990Z"},"content_sha256":"c34881d67ef188c316087883c8730e0a960e1b25793be1950ad0727eb9fe45de","schema_version":"1.0","event_id":"sha256:c34881d67ef188c316087883c8730e0a960e1b25793be1950ad0727eb9fe45de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3LEP4RGN2XDLT73TJX67LW2UCN/bundle.json","state_url":"https://pith.science/pith/3LEP4RGN2XDLT73TJX67LW2UCN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3LEP4RGN2XDLT73TJX67LW2UCN/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":"2026-07-07T15:34:16Z","links":{"resolver":"https://pith.science/pith/3LEP4RGN2XDLT73TJX67LW2UCN","bundle":"https://pith.science/pith/3LEP4RGN2XDLT73TJX67LW2UCN/bundle.json","state":"https://pith.science/pith/3LEP4RGN2XDLT73TJX67LW2UCN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3LEP4RGN2XDLT73TJX67LW2UCN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:3LEP4RGN2XDLT73TJX67LW2UCN","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":"8bb08fdebbff6e72871592c5f53c2495b5560b5f7d64c6d39079049072f11ba2","cross_cats_sorted":["nlin.PS"],"license":"","primary_cat":"nlin.CD","submitted_at":"2000-09-25T16:49:02Z","title_canon_sha256":"5ece621d057a110ff75504bad13f49472f428a34e9382a82a1321006e9dfdcfc"},"schema_version":"1.0","source":{"id":"nlin/0009045","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0009045","created_at":"2026-07-04T16:21:25Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0009045v1","created_at":"2026-07-04T16:21:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0009045","created_at":"2026-07-04T16:21:25Z"},{"alias_kind":"pith_short_12","alias_value":"3LEP4RGN2XDL","created_at":"2026-07-04T16:21:25Z"},{"alias_kind":"pith_short_16","alias_value":"3LEP4RGN2XDLT73T","created_at":"2026-07-04T16:21:25Z"},{"alias_kind":"pith_short_8","alias_value":"3LEP4RGN","created_at":"2026-07-04T16:21:25Z"}],"graph_snapshots":[{"event_id":"sha256:c34881d67ef188c316087883c8730e0a960e1b25793be1950ad0727eb9fe45de","target":"graph","created_at":"2026-07-04T16:21:25Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/nlin/0009045/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We interpret measurements of the Reynolds number dependence of the torque in Taylor-Couette flow by Lewis and Swinney [Phys. Rev. E 59, 5457 (1999)] and of the pressure drop in pipe flow by Smits and Zagarola, [Phys. Fluids 10, 1045 (1998)] within the scaling theory of Grossmann and Lohse [J. Fluid Mech. 407, 27 (2000)], developed in the context of thermal convection. The main idea is to split the energy dissipation into contributions from a boundary layer and the turbulent bulk. This ansatz can account for the observed scaling in both cases if it is assumed that the internal wind velocity $U_","authors_text":"Bruno Eckhardt, Detlef Lohse, Siegfried Grossmann","cross_cats":["nlin.PS"],"headline":"","license":"","primary_cat":"nlin.CD","submitted_at":"2000-09-25T16:49:02Z","title":"Scaling of global momentum transport in Taylor-Couette and pipe flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0009045","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":"sha256:618b4a6c0fd395362576b500b63e7ce54d6713a20f756256a7cbc5b5feae76ac","target":"record","created_at":"2026-07-04T16:21:25Z","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":"8bb08fdebbff6e72871592c5f53c2495b5560b5f7d64c6d39079049072f11ba2","cross_cats_sorted":["nlin.PS"],"license":"","primary_cat":"nlin.CD","submitted_at":"2000-09-25T16:49:02Z","title_canon_sha256":"5ece621d057a110ff75504bad13f49472f428a34e9382a82a1321006e9dfdcfc"},"schema_version":"1.0","source":{"id":"nlin/0009045","kind":"arxiv","version":1}},"canonical_sha256":"dac8fe44cdd5c6b9ff734dfdf5db5413562759fdc90fedad8b4b4817d1ba1311","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dac8fe44cdd5c6b9ff734dfdf5db5413562759fdc90fedad8b4b4817d1ba1311","first_computed_at":"2026-07-04T16:21:25.004421Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:21:25.004421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ii9ZbUizTePxllRtaQa2/XZCBd0SDHIQfjI3DGCEsSWk5Ad6fAFOwJ8ta0v5Fx8U9TokuqJYjhe4hYoB34P7DQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:21:25.005063Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0009045","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:618b4a6c0fd395362576b500b63e7ce54d6713a20f756256a7cbc5b5feae76ac","sha256:c34881d67ef188c316087883c8730e0a960e1b25793be1950ad0727eb9fe45de"],"state_sha256":"8edfee87cb449c5bf45dffff6dff748a08e60b6dc644ef84c3b0277d9aba7ebb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IaoieqDbJZczwyRrOrLpVO0VmsBssmJMVhYCbtiDA1bu4dkSmL8cYAmM47x1VjSxKuUdOzFn+yWovXVbFE/JBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T15:34:16.913983Z","bundle_sha256":"7865def0fea8cb2a4ab098b3998cd3b7a26e31b96edcf79e4ed824caf15a82f3"}}