{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:MYSBR6QMZFCKVE2P3UD7I45YY6","short_pith_number":"pith:MYSBR6QM","canonical_record":{"source":{"id":"1710.00741","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-10-02T15:58:36Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"41ee5a2563277d8eb5685809a6f8e6ebc6aa4e30bb474e96233f9d87bf1bd267","abstract_canon_sha256":"d9a565a672dd49e418934e4601f0bfbff02d0713a9f083b941ae9260994eb8d5"},"schema_version":"1.0"},"canonical_sha256":"662418fa0cc944aa934fdd07f473b8c7bb1f7855499216ba43ea270a1fc011bd","source":{"kind":"arxiv","id":"1710.00741","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.00741","created_at":"2026-05-18T00:23:32Z"},{"alias_kind":"arxiv_version","alias_value":"1710.00741v1","created_at":"2026-05-18T00:23:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.00741","created_at":"2026-05-18T00:23:32Z"},{"alias_kind":"pith_short_12","alias_value":"MYSBR6QMZFCK","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MYSBR6QMZFCKVE2P","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MYSBR6QM","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:MYSBR6QMZFCKVE2P3UD7I45YY6","target":"record","payload":{"canonical_record":{"source":{"id":"1710.00741","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-10-02T15:58:36Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"41ee5a2563277d8eb5685809a6f8e6ebc6aa4e30bb474e96233f9d87bf1bd267","abstract_canon_sha256":"d9a565a672dd49e418934e4601f0bfbff02d0713a9f083b941ae9260994eb8d5"},"schema_version":"1.0"},"canonical_sha256":"662418fa0cc944aa934fdd07f473b8c7bb1f7855499216ba43ea270a1fc011bd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:32.848381Z","signature_b64":"iqHt1aVIWlicEo7TrTZ/kgzkzZ49tm0Eo1vX6DL9CqZAzaZc2P7XpDRjqrJjpfn02OzqHlQoqNljSFo80houBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"662418fa0cc944aa934fdd07f473b8c7bb1f7855499216ba43ea270a1fc011bd","last_reissued_at":"2026-05-18T00:23:32.847669Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:32.847669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.00741","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":"2026-05-18T00:23:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iQ4kK9EPHkxLt5CM0sw/0piGzuSc05SS6NX0Hf0b2w7qxPIYj70ok1pRnAce0wVEDlhOLx5PmhhO4xKoVEesBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T05:07:58.130081Z"},"content_sha256":"bc3a4c1c5c761a092684ae37e752583b51a8fc66d563a19eba99e8b0903c9039","schema_version":"1.0","event_id":"sha256:bc3a4c1c5c761a092684ae37e752583b51a8fc66d563a19eba99e8b0903c9039"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:MYSBR6QMZFCKVE2P3UD7I45YY6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Small scale exact coherent structures at large Reynolds numbers in plane Couette flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"physics.flu-dyn","authors_text":"Bruno Eckhardt, Stefan Zammert","submitted_at":"2017-10-02T15:58:36Z","abstract_excerpt":"The transition to turbulence in plane Couette flow and several other shear flows is connected with saddle node bifurcations in which fully 3-d, nonlinear solutions, so-called exact coherent states (ECS), to the Navier-Stokes equation appear. As the Reynolds number increases, the states undergo secondary bifurcations and their time-evolution becomes increasingly more complex. Their spatial complexity, in contrast, remains limited so that these states cannot contribute to the spatial complexity and cascade to smaller scales expected for higher Reynolds numbers. We here present families of scalin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.00741","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":"2026-05-18T00:23:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fFcX9i8wDN6Kdl0BZDkWBB28gh26siZBJzcBucVFkTD8KijJYdYqt7HfmKUE0B1U6F2z7MR+cV2wxyXIFKZxCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T05:07:58.130805Z"},"content_sha256":"05e805630b7e44772c631de2907fa1b17008e5b5b51c938a96e1ded072863922","schema_version":"1.0","event_id":"sha256:05e805630b7e44772c631de2907fa1b17008e5b5b51c938a96e1ded072863922"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MYSBR6QMZFCKVE2P3UD7I45YY6/bundle.json","state_url":"https://pith.science/pith/MYSBR6QMZFCKVE2P3UD7I45YY6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MYSBR6QMZFCKVE2P3UD7I45YY6/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":"2026-05-22T05:07:58Z","links":{"resolver":"https://pith.science/pith/MYSBR6QMZFCKVE2P3UD7I45YY6","bundle":"https://pith.science/pith/MYSBR6QMZFCKVE2P3UD7I45YY6/bundle.json","state":"https://pith.science/pith/MYSBR6QMZFCKVE2P3UD7I45YY6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MYSBR6QMZFCKVE2P3UD7I45YY6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MYSBR6QMZFCKVE2P3UD7I45YY6","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":"d9a565a672dd49e418934e4601f0bfbff02d0713a9f083b941ae9260994eb8d5","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-10-02T15:58:36Z","title_canon_sha256":"41ee5a2563277d8eb5685809a6f8e6ebc6aa4e30bb474e96233f9d87bf1bd267"},"schema_version":"1.0","source":{"id":"1710.00741","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.00741","created_at":"2026-05-18T00:23:32Z"},{"alias_kind":"arxiv_version","alias_value":"1710.00741v1","created_at":"2026-05-18T00:23:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.00741","created_at":"2026-05-18T00:23:32Z"},{"alias_kind":"pith_short_12","alias_value":"MYSBR6QMZFCK","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MYSBR6QMZFCKVE2P","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MYSBR6QM","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:05e805630b7e44772c631de2907fa1b17008e5b5b51c938a96e1ded072863922","target":"graph","created_at":"2026-05-18T00:23:32Z","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 transition to turbulence in plane Couette flow and several other shear flows is connected with saddle node bifurcations in which fully 3-d, nonlinear solutions, so-called exact coherent states (ECS), to the Navier-Stokes equation appear. As the Reynolds number increases, the states undergo secondary bifurcations and their time-evolution becomes increasingly more complex. Their spatial complexity, in contrast, remains limited so that these states cannot contribute to the spatial complexity and cascade to smaller scales expected for higher Reynolds numbers. We here present families of scalin","authors_text":"Bruno Eckhardt, Stefan Zammert","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-10-02T15:58:36Z","title":"Small scale exact coherent structures at large Reynolds numbers in plane Couette flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.00741","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:bc3a4c1c5c761a092684ae37e752583b51a8fc66d563a19eba99e8b0903c9039","target":"record","created_at":"2026-05-18T00:23:32Z","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":"d9a565a672dd49e418934e4601f0bfbff02d0713a9f083b941ae9260994eb8d5","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-10-02T15:58:36Z","title_canon_sha256":"41ee5a2563277d8eb5685809a6f8e6ebc6aa4e30bb474e96233f9d87bf1bd267"},"schema_version":"1.0","source":{"id":"1710.00741","kind":"arxiv","version":1}},"canonical_sha256":"662418fa0cc944aa934fdd07f473b8c7bb1f7855499216ba43ea270a1fc011bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"662418fa0cc944aa934fdd07f473b8c7bb1f7855499216ba43ea270a1fc011bd","first_computed_at":"2026-05-18T00:23:32.847669Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:32.847669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iqHt1aVIWlicEo7TrTZ/kgzkzZ49tm0Eo1vX6DL9CqZAzaZc2P7XpDRjqrJjpfn02OzqHlQoqNljSFo80houBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:32.848381Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.00741","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc3a4c1c5c761a092684ae37e752583b51a8fc66d563a19eba99e8b0903c9039","sha256:05e805630b7e44772c631de2907fa1b17008e5b5b51c938a96e1ded072863922"],"state_sha256":"96c27ff0f30851f9dbb76e9df81374d8b44274ee6db0061ef7c127c6d6710b4c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UwaKfp3iyefyYEzdH/sLlqIWc36VhsGy8gHsW/CkUkgVnVXCCRbkyPNTV9kJ5ODOSrNiyd55h1fzVdsshQINBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T05:07:58.134817Z","bundle_sha256":"ab45d139fefb31d36e2dc26c32ef13ce64235013daf43deccc08a7f736ed56e1"}}