{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:WSL2NMQN22DRRNQ5VFGA5M23SZ","short_pith_number":"pith:WSL2NMQN","canonical_record":{"source":{"id":"1801.09260","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-01-28T18:26:32Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"4a2177d83f3f3475008bbc8f94dc9a9fbd8fafadb7e3399dc1d6a26630b84d0e","abstract_canon_sha256":"8618014031317c4fcf2e26305ce782031de8dd5e042c892fb2e821087750d8cf"},"schema_version":"1.0"},"canonical_sha256":"b497a6b20dd68718b61da94c0eb35b964fa77108d2d49c0e722aaa60737f3be6","source":{"kind":"arxiv","id":"1801.09260","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.09260","created_at":"2026-05-18T00:13:28Z"},{"alias_kind":"arxiv_version","alias_value":"1801.09260v1","created_at":"2026-05-18T00:13:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.09260","created_at":"2026-05-18T00:13:28Z"},{"alias_kind":"pith_short_12","alias_value":"WSL2NMQN22DR","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"WSL2NMQN22DRRNQ5","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"WSL2NMQN","created_at":"2026-05-18T12:33:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:WSL2NMQN22DRRNQ5VFGA5M23SZ","target":"record","payload":{"canonical_record":{"source":{"id":"1801.09260","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-01-28T18:26:32Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"4a2177d83f3f3475008bbc8f94dc9a9fbd8fafadb7e3399dc1d6a26630b84d0e","abstract_canon_sha256":"8618014031317c4fcf2e26305ce782031de8dd5e042c892fb2e821087750d8cf"},"schema_version":"1.0"},"canonical_sha256":"b497a6b20dd68718b61da94c0eb35b964fa77108d2d49c0e722aaa60737f3be6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:28.181231Z","signature_b64":"t95h7oXJ1VDBVrZ/HptiAG3IXRI5f1Ra4tSDhtFBG6jKa6KBv4Scz3ByZ07liukUUsn5qQXNlBQ/1NFvhRUOCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b497a6b20dd68718b61da94c0eb35b964fa77108d2d49c0e722aaa60737f3be6","last_reissued_at":"2026-05-18T00:13:28.180463Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:28.180463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.09260","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":"2026-05-18T00:13:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E+u32iaBnq6z46qYoQJT7/n8SrY4ZyRJqTh6scOsByklIsxh/iVVyBKzCYH4v1VsK9+O6wN9KBQiqT2oAGLyBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T09:54:45.725559Z"},"content_sha256":"2db36f3952b0f65a4157c6c13fa8c67b37ed6e0ae066522b20c0e759e68c981a","schema_version":"1.0","event_id":"sha256:2db36f3952b0f65a4157c6c13fa8c67b37ed6e0ae066522b20c0e759e68c981a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:WSL2NMQN22DRRNQ5VFGA5M23SZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Transition to turbulence in shear flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"physics.flu-dyn","authors_text":"Bruno Eckhardt","submitted_at":"2018-01-28T18:26:32Z","abstract_excerpt":"Pipe flow and many other shear flows show a transition to turbulence at flow rates for which the laminar profile is stable against infinitesimal perturbations. In this brief review the recent progress in the understanding of this transition will be summarized, with a focus on the linear and nonlinear states that drive the transitions, the extended and localized patterns that appear, and on the spatio-temporal dynamics and their relation to directed percolation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.09260","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":"2026-05-18T00:13:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wk+os6k25chM9KQEbek+CM70wDwM9CPkQjWRMcpIFyjF7EAvYw+OUNwdWzp55D5TtNAQ1jp4Y/t2i7RGX/EEDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T09:54:45.726286Z"},"content_sha256":"8a576668cd2334fb9120a59176a3bb3c4be9cbba4fcb07de82087dbc541a33d3","schema_version":"1.0","event_id":"sha256:8a576668cd2334fb9120a59176a3bb3c4be9cbba4fcb07de82087dbc541a33d3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WSL2NMQN22DRRNQ5VFGA5M23SZ/bundle.json","state_url":"https://pith.science/pith/WSL2NMQN22DRRNQ5VFGA5M23SZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WSL2NMQN22DRRNQ5VFGA5M23SZ/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":"2026-05-23T09:54:45Z","links":{"resolver":"https://pith.science/pith/WSL2NMQN22DRRNQ5VFGA5M23SZ","bundle":"https://pith.science/pith/WSL2NMQN22DRRNQ5VFGA5M23SZ/bundle.json","state":"https://pith.science/pith/WSL2NMQN22DRRNQ5VFGA5M23SZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WSL2NMQN22DRRNQ5VFGA5M23SZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WSL2NMQN22DRRNQ5VFGA5M23SZ","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":"8618014031317c4fcf2e26305ce782031de8dd5e042c892fb2e821087750d8cf","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-01-28T18:26:32Z","title_canon_sha256":"4a2177d83f3f3475008bbc8f94dc9a9fbd8fafadb7e3399dc1d6a26630b84d0e"},"schema_version":"1.0","source":{"id":"1801.09260","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.09260","created_at":"2026-05-18T00:13:28Z"},{"alias_kind":"arxiv_version","alias_value":"1801.09260v1","created_at":"2026-05-18T00:13:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.09260","created_at":"2026-05-18T00:13:28Z"},{"alias_kind":"pith_short_12","alias_value":"WSL2NMQN22DR","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"WSL2NMQN22DRRNQ5","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"WSL2NMQN","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:8a576668cd2334fb9120a59176a3bb3c4be9cbba4fcb07de82087dbc541a33d3","target":"graph","created_at":"2026-05-18T00:13:28Z","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":"Pipe flow and many other shear flows show a transition to turbulence at flow rates for which the laminar profile is stable against infinitesimal perturbations. In this brief review the recent progress in the understanding of this transition will be summarized, with a focus on the linear and nonlinear states that drive the transitions, the extended and localized patterns that appear, and on the spatio-temporal dynamics and their relation to directed percolation.","authors_text":"Bruno Eckhardt","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-01-28T18:26:32Z","title":"Transition to turbulence in shear flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.09260","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":"sha256:2db36f3952b0f65a4157c6c13fa8c67b37ed6e0ae066522b20c0e759e68c981a","target":"record","created_at":"2026-05-18T00:13:28Z","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":"8618014031317c4fcf2e26305ce782031de8dd5e042c892fb2e821087750d8cf","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-01-28T18:26:32Z","title_canon_sha256":"4a2177d83f3f3475008bbc8f94dc9a9fbd8fafadb7e3399dc1d6a26630b84d0e"},"schema_version":"1.0","source":{"id":"1801.09260","kind":"arxiv","version":1}},"canonical_sha256":"b497a6b20dd68718b61da94c0eb35b964fa77108d2d49c0e722aaa60737f3be6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b497a6b20dd68718b61da94c0eb35b964fa77108d2d49c0e722aaa60737f3be6","first_computed_at":"2026-05-18T00:13:28.180463Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:28.180463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t95h7oXJ1VDBVrZ/HptiAG3IXRI5f1Ra4tSDhtFBG6jKa6KBv4Scz3ByZ07liukUUsn5qQXNlBQ/1NFvhRUOCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:28.181231Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.09260","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2db36f3952b0f65a4157c6c13fa8c67b37ed6e0ae066522b20c0e759e68c981a","sha256:8a576668cd2334fb9120a59176a3bb3c4be9cbba4fcb07de82087dbc541a33d3"],"state_sha256":"4da14bd1b3626d7795857e8173a1f9988d4660bfe10141dbc12c290748198e78"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"axOydiPJWjCZGSD+/zeknOiMoJGzqaZtPdDxqqY2lWbrgJ8SDXQrfJeHkfw/drBPjhfhNugnFRD7Fkv3X0b3Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T09:54:45.730017Z","bundle_sha256":"3b06bffeaa936cba185a3887e2b3da622a0c0ce42320a5246c3dafcbbba7022f"}}