{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:42LHP3CFCH6E4PROCG27ORXVJW","short_pith_number":"pith:42LHP3CF","canonical_record":{"source":{"id":"1908.02191","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-08-06T14:52:45Z","cross_cats_sorted":[],"title_canon_sha256":"99c549f2ebd7e274ac228d286f0eae3e65b14d08766c0560f1b329b52118149e","abstract_canon_sha256":"5cc29232865c164b08c85faf4bba24f172150f0d70b2239953eb2b0b853728f8"},"schema_version":"1.0"},"canonical_sha256":"e69677ec4511fc4e3e2e11b5f746f54d98e214bfb71ca71b8e4dd15c36a4be0f","source":{"kind":"arxiv","id":"1908.02191","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.02191","created_at":"2026-07-04T23:51:51Z"},{"alias_kind":"arxiv_version","alias_value":"1908.02191v1","created_at":"2026-07-04T23:51:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.02191","created_at":"2026-07-04T23:51:51Z"},{"alias_kind":"pith_short_12","alias_value":"42LHP3CFCH6E","created_at":"2026-07-04T23:51:51Z"},{"alias_kind":"pith_short_16","alias_value":"42LHP3CFCH6E4PRO","created_at":"2026-07-04T23:51:51Z"},{"alias_kind":"pith_short_8","alias_value":"42LHP3CF","created_at":"2026-07-04T23:51:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:42LHP3CFCH6E4PROCG27ORXVJW","target":"record","payload":{"canonical_record":{"source":{"id":"1908.02191","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-08-06T14:52:45Z","cross_cats_sorted":[],"title_canon_sha256":"99c549f2ebd7e274ac228d286f0eae3e65b14d08766c0560f1b329b52118149e","abstract_canon_sha256":"5cc29232865c164b08c85faf4bba24f172150f0d70b2239953eb2b0b853728f8"},"schema_version":"1.0"},"canonical_sha256":"e69677ec4511fc4e3e2e11b5f746f54d98e214bfb71ca71b8e4dd15c36a4be0f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:51:51.881821Z","signature_b64":"7AVjXBLjxvFmNYkzojrz7idOH/A1TAJQFiGc5wec552PZIDCvyzcZc2ohV4Uk5rJ7DwiHxDllNAaNVq/FVabBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e69677ec4511fc4e3e2e11b5f746f54d98e214bfb71ca71b8e4dd15c36a4be0f","last_reissued_at":"2026-07-04T23:51:51.881486Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:51:51.881486Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.02191","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":"2026-07-04T23:51:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WsVCFVipXgAIe5jAkciPv6Pu94akCG4Xnzk9h/OUlm/7/WHsZEoJiRFnVqm85EOlyZJR/ADXUTUfC6PLvEO8Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T14:19:24.127907Z"},"content_sha256":"89f07c3a79f8ecb631592b50a78f04fd5857ea4c336e587fd5822112f37670b2","schema_version":"1.0","event_id":"sha256:89f07c3a79f8ecb631592b50a78f04fd5857ea4c336e587fd5822112f37670b2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:42LHP3CFCH6E4PROCG27ORXVJW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the three-dimensional stability of Poiseuille flow in a finite-length duct","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Lei Xu, Zvi Rusak","submitted_at":"2019-08-06T14:52:45Z","abstract_excerpt":"The stability of a three-dimensional, incompressible, viscous flow through a finite-length duct is studied. A divergence-free basis technique is used to formulate the weak form of the problem. A SUPG (streamingline upwind Petrov-Galerkin) based scheme for eigenvalue problems is proposed to stabilize the solution. With proper boundary condtions, the least-stable eigenmodes and decay rates are computed. It is again found that the flows are asymptotically stable for all $Re$ up to $2500$. It is discovered that the least-stable eigenmodes have a boundary-layer-structure at high $Re$, although the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.02191","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/1908.02191/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":"2026-07-04T23:51:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OTPSI9qpf/4BZHBfGVDnpjCgN03Xm3n118l953KUN/72zLotpD8Ks5zXWqfnVEixEEEvyQDssqWnCUipQpF7Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T14:19:24.128941Z"},"content_sha256":"ea8ce2c842785e7ab4171c5d712905b95157168c3a9f9457125ce0f85072dce9","schema_version":"1.0","event_id":"sha256:ea8ce2c842785e7ab4171c5d712905b95157168c3a9f9457125ce0f85072dce9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/42LHP3CFCH6E4PROCG27ORXVJW/bundle.json","state_url":"https://pith.science/pith/42LHP3CFCH6E4PROCG27ORXVJW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/42LHP3CFCH6E4PROCG27ORXVJW/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":"2026-08-16T14:19:24Z","links":{"resolver":"https://pith.science/pith/42LHP3CFCH6E4PROCG27ORXVJW","bundle":"https://pith.science/pith/42LHP3CFCH6E4PROCG27ORXVJW/bundle.json","state":"https://pith.science/pith/42LHP3CFCH6E4PROCG27ORXVJW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/42LHP3CFCH6E4PROCG27ORXVJW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:42LHP3CFCH6E4PROCG27ORXVJW","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":"5cc29232865c164b08c85faf4bba24f172150f0d70b2239953eb2b0b853728f8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-08-06T14:52:45Z","title_canon_sha256":"99c549f2ebd7e274ac228d286f0eae3e65b14d08766c0560f1b329b52118149e"},"schema_version":"1.0","source":{"id":"1908.02191","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.02191","created_at":"2026-07-04T23:51:51Z"},{"alias_kind":"arxiv_version","alias_value":"1908.02191v1","created_at":"2026-07-04T23:51:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.02191","created_at":"2026-07-04T23:51:51Z"},{"alias_kind":"pith_short_12","alias_value":"42LHP3CFCH6E","created_at":"2026-07-04T23:51:51Z"},{"alias_kind":"pith_short_16","alias_value":"42LHP3CFCH6E4PRO","created_at":"2026-07-04T23:51:51Z"},{"alias_kind":"pith_short_8","alias_value":"42LHP3CF","created_at":"2026-07-04T23:51:51Z"}],"graph_snapshots":[{"event_id":"sha256:ea8ce2c842785e7ab4171c5d712905b95157168c3a9f9457125ce0f85072dce9","target":"graph","created_at":"2026-07-04T23:51:51Z","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/1908.02191/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The stability of a three-dimensional, incompressible, viscous flow through a finite-length duct is studied. A divergence-free basis technique is used to formulate the weak form of the problem. A SUPG (streamingline upwind Petrov-Galerkin) based scheme for eigenvalue problems is proposed to stabilize the solution. With proper boundary condtions, the least-stable eigenmodes and decay rates are computed. It is again found that the flows are asymptotically stable for all $Re$ up to $2500$. It is discovered that the least-stable eigenmodes have a boundary-layer-structure at high $Re$, although the ","authors_text":"Lei Xu, Zvi Rusak","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-08-06T14:52:45Z","title":"On the three-dimensional stability of Poiseuille flow in a finite-length duct"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.02191","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":"sha256:89f07c3a79f8ecb631592b50a78f04fd5857ea4c336e587fd5822112f37670b2","target":"record","created_at":"2026-07-04T23:51:51Z","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":"5cc29232865c164b08c85faf4bba24f172150f0d70b2239953eb2b0b853728f8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-08-06T14:52:45Z","title_canon_sha256":"99c549f2ebd7e274ac228d286f0eae3e65b14d08766c0560f1b329b52118149e"},"schema_version":"1.0","source":{"id":"1908.02191","kind":"arxiv","version":1}},"canonical_sha256":"e69677ec4511fc4e3e2e11b5f746f54d98e214bfb71ca71b8e4dd15c36a4be0f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e69677ec4511fc4e3e2e11b5f746f54d98e214bfb71ca71b8e4dd15c36a4be0f","first_computed_at":"2026-07-04T23:51:51.881486Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:51:51.881486Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7AVjXBLjxvFmNYkzojrz7idOH/A1TAJQFiGc5wec552PZIDCvyzcZc2ohV4Uk5rJ7DwiHxDllNAaNVq/FVabBg==","signature_status":"signed_v1","signed_at":"2026-07-04T23:51:51.881821Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.02191","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89f07c3a79f8ecb631592b50a78f04fd5857ea4c336e587fd5822112f37670b2","sha256:ea8ce2c842785e7ab4171c5d712905b95157168c3a9f9457125ce0f85072dce9"],"state_sha256":"826d4ec48206dbfcd02ce87c4f21997456c08ad4fc71c4de084cebfa27d10b09"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dDtv11s/qJagOfSrF1adKP6x85pKouAbDxqc7RdVewqXEflhKyQhvTRfxxe3Pt1Ql9ZYzRbiFhpSwTx70G/8Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T14:19:24.135627Z","bundle_sha256":"fda218255edb89b35103175e6f8acb3c4b6cc4d2e1a5ca1a6e12ab95820ee349"}}