{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:HW32D4ZIVFNCV2W5BTLGGHLNN3","short_pith_number":"pith:HW32D4ZI","canonical_record":{"source":{"id":"1702.08416","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-02-27T18:24:08Z","cross_cats_sorted":[],"title_canon_sha256":"244769f84fed42c3e177833b655b5b63e2d6387fe248c3a312f1252dbce0c1ef","abstract_canon_sha256":"1a5f4d614c594dae21d4e0aa501280821cf6a9111f37cfaf643264d59d1e1198"},"schema_version":"1.0"},"canonical_sha256":"3db7a1f328a95a2aeadd0cd6631d6d6efbb08cd733f0e92922ccc9203bb707e1","source":{"kind":"arxiv","id":"1702.08416","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.08416","created_at":"2026-07-05T07:24:44Z"},{"alias_kind":"arxiv_version","alias_value":"1702.08416v1","created_at":"2026-07-05T07:24:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.08416","created_at":"2026-07-05T07:24:44Z"},{"alias_kind":"pith_short_12","alias_value":"HW32D4ZIVFNC","created_at":"2026-07-05T07:24:44Z"},{"alias_kind":"pith_short_16","alias_value":"HW32D4ZIVFNCV2W5","created_at":"2026-07-05T07:24:44Z"},{"alias_kind":"pith_short_8","alias_value":"HW32D4ZI","created_at":"2026-07-05T07:24:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:HW32D4ZIVFNCV2W5BTLGGHLNN3","target":"record","payload":{"canonical_record":{"source":{"id":"1702.08416","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-02-27T18:24:08Z","cross_cats_sorted":[],"title_canon_sha256":"244769f84fed42c3e177833b655b5b63e2d6387fe248c3a312f1252dbce0c1ef","abstract_canon_sha256":"1a5f4d614c594dae21d4e0aa501280821cf6a9111f37cfaf643264d59d1e1198"},"schema_version":"1.0"},"canonical_sha256":"3db7a1f328a95a2aeadd0cd6631d6d6efbb08cd733f0e92922ccc9203bb707e1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:24:44.131888Z","signature_b64":"y+yqsummtiNReghIIUWRjJgtK9mSL5CsqanBpdt19nJPEm8wTApb7Ksc95t5KlXccIxm4qJbVG8N6VJv1azJCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3db7a1f328a95a2aeadd0cd6631d6d6efbb08cd733f0e92922ccc9203bb707e1","last_reissued_at":"2026-07-05T07:24:44.131463Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:24:44.131463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.08416","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":"2026-07-05T07:24:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vu5OMzOAiW/VI04hHNBqsa5ihdZmLpCyVwQPpgqehQFmzP/siCDt9nZ1tvHbHzhF1LbgFIx9EaF98VmsWUpsCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:07:34.746321Z"},"content_sha256":"68f8a155b838ba76c4f577a57eb0d84c628fa941c90cd4819b85d5543b0e65f6","schema_version":"1.0","event_id":"sha256:68f8a155b838ba76c4f577a57eb0d84c628fa941c90cd4819b85d5543b0e65f6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:HW32D4ZIVFNCV2W5BTLGGHLNN3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Transition to turbulence when the Tollmien-Schlichting and bypass routes coexist","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Bruno Eckhardt, Stefan Zammert","submitted_at":"2017-02-27T18:24:08Z","abstract_excerpt":"Plane Poiseuille flow, the pressure driven flow between parallel plates, shows a route to turbulence connected with a linear instability to Tollmien-Schlichting (TS) waves, and another one, the bypass transition, that is triggered with finite amplitude perturbation. We use direct numerical simulations to explore the arrangement of the different routes to turbulence among the set of initial conditions. For plates that are a distance $2H$ apart and in a domain of width $2\\pi H$ and length $2\\pi H$ the subcritical instability to TS waves sets in at $Re_{c}=5815$ that extends down to $Re_{TS}\\appr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.08416","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/1702.08416/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":"2026-07-05T07:24:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CT83sSqaaRq3cw6C0SScU4iTIXupl9m4gBKpiXzzJH+OBIFjh1PTD4jOUQ2vcLRWQrxfn4wVBwGO9gF0f1IwAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:07:34.747186Z"},"content_sha256":"e37e8ee23f216843ec2e6751eb85f8974ecb71940963d794158a97d25d9565d8","schema_version":"1.0","event_id":"sha256:e37e8ee23f216843ec2e6751eb85f8974ecb71940963d794158a97d25d9565d8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HW32D4ZIVFNCV2W5BTLGGHLNN3/bundle.json","state_url":"https://pith.science/pith/HW32D4ZIVFNCV2W5BTLGGHLNN3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HW32D4ZIVFNCV2W5BTLGGHLNN3/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":"2026-08-03T17:07:34Z","links":{"resolver":"https://pith.science/pith/HW32D4ZIVFNCV2W5BTLGGHLNN3","bundle":"https://pith.science/pith/HW32D4ZIVFNCV2W5BTLGGHLNN3/bundle.json","state":"https://pith.science/pith/HW32D4ZIVFNCV2W5BTLGGHLNN3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HW32D4ZIVFNCV2W5BTLGGHLNN3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HW32D4ZIVFNCV2W5BTLGGHLNN3","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":"1a5f4d614c594dae21d4e0aa501280821cf6a9111f37cfaf643264d59d1e1198","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-02-27T18:24:08Z","title_canon_sha256":"244769f84fed42c3e177833b655b5b63e2d6387fe248c3a312f1252dbce0c1ef"},"schema_version":"1.0","source":{"id":"1702.08416","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.08416","created_at":"2026-07-05T07:24:44Z"},{"alias_kind":"arxiv_version","alias_value":"1702.08416v1","created_at":"2026-07-05T07:24:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.08416","created_at":"2026-07-05T07:24:44Z"},{"alias_kind":"pith_short_12","alias_value":"HW32D4ZIVFNC","created_at":"2026-07-05T07:24:44Z"},{"alias_kind":"pith_short_16","alias_value":"HW32D4ZIVFNCV2W5","created_at":"2026-07-05T07:24:44Z"},{"alias_kind":"pith_short_8","alias_value":"HW32D4ZI","created_at":"2026-07-05T07:24:44Z"}],"graph_snapshots":[{"event_id":"sha256:e37e8ee23f216843ec2e6751eb85f8974ecb71940963d794158a97d25d9565d8","target":"graph","created_at":"2026-07-05T07:24:44Z","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/1702.08416/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Plane Poiseuille flow, the pressure driven flow between parallel plates, shows a route to turbulence connected with a linear instability to Tollmien-Schlichting (TS) waves, and another one, the bypass transition, that is triggered with finite amplitude perturbation. We use direct numerical simulations to explore the arrangement of the different routes to turbulence among the set of initial conditions. For plates that are a distance $2H$ apart and in a domain of width $2\\pi H$ and length $2\\pi H$ the subcritical instability to TS waves sets in at $Re_{c}=5815$ that extends down to $Re_{TS}\\appr","authors_text":"Bruno Eckhardt, Stefan Zammert","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-02-27T18:24:08Z","title":"Transition to turbulence when the Tollmien-Schlichting and bypass routes coexist"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.08416","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":"sha256:68f8a155b838ba76c4f577a57eb0d84c628fa941c90cd4819b85d5543b0e65f6","target":"record","created_at":"2026-07-05T07:24:44Z","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":"1a5f4d614c594dae21d4e0aa501280821cf6a9111f37cfaf643264d59d1e1198","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-02-27T18:24:08Z","title_canon_sha256":"244769f84fed42c3e177833b655b5b63e2d6387fe248c3a312f1252dbce0c1ef"},"schema_version":"1.0","source":{"id":"1702.08416","kind":"arxiv","version":1}},"canonical_sha256":"3db7a1f328a95a2aeadd0cd6631d6d6efbb08cd733f0e92922ccc9203bb707e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3db7a1f328a95a2aeadd0cd6631d6d6efbb08cd733f0e92922ccc9203bb707e1","first_computed_at":"2026-07-05T07:24:44.131463Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:24:44.131463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y+yqsummtiNReghIIUWRjJgtK9mSL5CsqanBpdt19nJPEm8wTApb7Ksc95t5KlXccIxm4qJbVG8N6VJv1azJCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:24:44.131888Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.08416","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68f8a155b838ba76c4f577a57eb0d84c628fa941c90cd4819b85d5543b0e65f6","sha256:e37e8ee23f216843ec2e6751eb85f8974ecb71940963d794158a97d25d9565d8"],"state_sha256":"3afeb1592a7cd95efc0cbb49e3919db8d12901cd82a3a058cf771b62cedf94a0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T9ARFIOnJRMltghEB4rF+yUVpvFXvOMu0LKBEUTZtM5mhzxIsKmVPez7IrPEda5K3R6xDjHD/t3osza+yEQcAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T17:07:34.754246Z","bundle_sha256":"6bccc5983e95a2b9083c1206905582287e6e598a47d8acda73e5a4bb32999e89"}}