{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:4NO4HI72O3WTQFGWCZEJMEFGNN","short_pith_number":"pith:4NO4HI72","canonical_record":{"source":{"id":"1401.2821","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-01-13T12:54:17Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"2d2fe8eb92f63e39d27613b1e715db9d68f5f9ac5ab72e46dd7a29e85b950dcb","abstract_canon_sha256":"a29c30601953cadb76dc1aef0d3913ec41ddeb9b80682f60e4d21afb466fb402"},"schema_version":"1.0"},"canonical_sha256":"e35dc3a3fa76ed3814d616489610a66b4905a56a695065242343f7814277ad22","source":{"kind":"arxiv","id":"1401.2821","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2821","created_at":"2026-05-18T03:02:31Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2821v1","created_at":"2026-05-18T03:02:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2821","created_at":"2026-05-18T03:02:31Z"},{"alias_kind":"pith_short_12","alias_value":"4NO4HI72O3WT","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4NO4HI72O3WTQFGW","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4NO4HI72","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:4NO4HI72O3WTQFGWCZEJMEFGNN","target":"record","payload":{"canonical_record":{"source":{"id":"1401.2821","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-01-13T12:54:17Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"2d2fe8eb92f63e39d27613b1e715db9d68f5f9ac5ab72e46dd7a29e85b950dcb","abstract_canon_sha256":"a29c30601953cadb76dc1aef0d3913ec41ddeb9b80682f60e4d21afb466fb402"},"schema_version":"1.0"},"canonical_sha256":"e35dc3a3fa76ed3814d616489610a66b4905a56a695065242343f7814277ad22","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:02:31.896266Z","signature_b64":"bDFxhLx/LL4+38ZkQ89M9C2qjUZyIH7T4g2rnHhXEN7G6RtZXIg8vcM8yKlFkAFVrCCeehkncTV2UCqaa1JlCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e35dc3a3fa76ed3814d616489610a66b4905a56a695065242343f7814277ad22","last_reissued_at":"2026-05-18T03:02:31.895543Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:02:31.895543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.2821","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":"2026-05-18T03:02:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GsWn8KXEz71qJN5n0rn8+YRt7YTdYHuFU0KZKJzN8vuGa/v1DcKCBfoMQEXmbFnI83nZwC5Qw0VcUJXC4HOLAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T16:38:36.563939Z"},"content_sha256":"4b8d3a5753a2ee18d9f7c69dd00fcef26a322eb968b8c6530ed50b825bb6c2d7","schema_version":"1.0","event_id":"sha256:4b8d3a5753a2ee18d9f7c69dd00fcef26a322eb968b8c6530ed50b825bb6c2d7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:4NO4HI72O3WTQFGWCZEJMEFGNN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Eckhaus-like instability of large scale coherent structures in a fully turbulent von K\\'arm\\'an flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"physics.flu-dyn","authors_text":"B\\'ereng\\`ere Dubrulle, Eric Herbert, Fran\\c{c}ois Daviaud, Pierre-Philippe Cortet","submitted_at":"2014-01-13T12:54:17Z","abstract_excerpt":"The notion of instability of a turbulent flow is introduced in the case of a von K\\'arm\\'an flow thanks to the monitoring of the spatio-temporal spectrum of the velocity fluctuations, combined with projection onto suitable Beltrami modes. It is shown that the large scale coherent fluctuations of the flow obeys a sequence of Eckhaus instabilities when the Reynolds number $\\mathrm{Re}$ is varied from $10^2$ to $10^6$. This sequence results in modulations of increasing azimuthal wavenumber. The basic state is the laminar or time-averaged flow at an arbitrary $\\mathrm{Re}$, which is axi-symmetric,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2821","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":"2026-05-18T03:02:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wC/7OOst/t7gj6geBQyV8+WBbg+aIwTV8qZOP/5J/MbpTMtiLVlf5mlf71k8S6ohnXleXzNX9Xc3FRN2mvjfDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T16:38:36.564643Z"},"content_sha256":"adfedc0f52887351772a94052a188287bff367d6bfbc1d9b02c02d8f9606ebae","schema_version":"1.0","event_id":"sha256:adfedc0f52887351772a94052a188287bff367d6bfbc1d9b02c02d8f9606ebae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4NO4HI72O3WTQFGWCZEJMEFGNN/bundle.json","state_url":"https://pith.science/pith/4NO4HI72O3WTQFGWCZEJMEFGNN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4NO4HI72O3WTQFGWCZEJMEFGNN/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":"2026-05-29T16:38:36Z","links":{"resolver":"https://pith.science/pith/4NO4HI72O3WTQFGWCZEJMEFGNN","bundle":"https://pith.science/pith/4NO4HI72O3WTQFGWCZEJMEFGNN/bundle.json","state":"https://pith.science/pith/4NO4HI72O3WTQFGWCZEJMEFGNN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4NO4HI72O3WTQFGWCZEJMEFGNN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4NO4HI72O3WTQFGWCZEJMEFGNN","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":"a29c30601953cadb76dc1aef0d3913ec41ddeb9b80682f60e4d21afb466fb402","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-01-13T12:54:17Z","title_canon_sha256":"2d2fe8eb92f63e39d27613b1e715db9d68f5f9ac5ab72e46dd7a29e85b950dcb"},"schema_version":"1.0","source":{"id":"1401.2821","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2821","created_at":"2026-05-18T03:02:31Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2821v1","created_at":"2026-05-18T03:02:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2821","created_at":"2026-05-18T03:02:31Z"},{"alias_kind":"pith_short_12","alias_value":"4NO4HI72O3WT","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4NO4HI72O3WTQFGW","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4NO4HI72","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:adfedc0f52887351772a94052a188287bff367d6bfbc1d9b02c02d8f9606ebae","target":"graph","created_at":"2026-05-18T03:02:31Z","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":"The notion of instability of a turbulent flow is introduced in the case of a von K\\'arm\\'an flow thanks to the monitoring of the spatio-temporal spectrum of the velocity fluctuations, combined with projection onto suitable Beltrami modes. It is shown that the large scale coherent fluctuations of the flow obeys a sequence of Eckhaus instabilities when the Reynolds number $\\mathrm{Re}$ is varied from $10^2$ to $10^6$. This sequence results in modulations of increasing azimuthal wavenumber. The basic state is the laminar or time-averaged flow at an arbitrary $\\mathrm{Re}$, which is axi-symmetric,","authors_text":"B\\'ereng\\`ere Dubrulle, Eric Herbert, Fran\\c{c}ois Daviaud, Pierre-Philippe Cortet","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-01-13T12:54:17Z","title":"Eckhaus-like instability of large scale coherent structures in a fully turbulent von K\\'arm\\'an flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2821","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":"sha256:4b8d3a5753a2ee18d9f7c69dd00fcef26a322eb968b8c6530ed50b825bb6c2d7","target":"record","created_at":"2026-05-18T03:02:31Z","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":"a29c30601953cadb76dc1aef0d3913ec41ddeb9b80682f60e4d21afb466fb402","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-01-13T12:54:17Z","title_canon_sha256":"2d2fe8eb92f63e39d27613b1e715db9d68f5f9ac5ab72e46dd7a29e85b950dcb"},"schema_version":"1.0","source":{"id":"1401.2821","kind":"arxiv","version":1}},"canonical_sha256":"e35dc3a3fa76ed3814d616489610a66b4905a56a695065242343f7814277ad22","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e35dc3a3fa76ed3814d616489610a66b4905a56a695065242343f7814277ad22","first_computed_at":"2026-05-18T03:02:31.895543Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:31.895543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bDFxhLx/LL4+38ZkQ89M9C2qjUZyIH7T4g2rnHhXEN7G6RtZXIg8vcM8yKlFkAFVrCCeehkncTV2UCqaa1JlCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:31.896266Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.2821","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b8d3a5753a2ee18d9f7c69dd00fcef26a322eb968b8c6530ed50b825bb6c2d7","sha256:adfedc0f52887351772a94052a188287bff367d6bfbc1d9b02c02d8f9606ebae"],"state_sha256":"35841672981a0bfcb2c539f80eb115b28519eb37f2b3800a78cabf1eba6e56e4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DQvo5VeKIp7RlyP71kImlyoiBWK4vsTiEE07k3+Vx4Kzc4GnfK+85G4m58375hvga0SEyfEarLLREp3MlfUfBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T16:38:36.568487Z","bundle_sha256":"f528d2f92ec9059106bfb4ae59f91f4b61dd187fbc750eedc86c1aef0f492fcb"}}