{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:R7TEIH66VHHLRBGS544OVQS3JE","short_pith_number":"pith:R7TEIH66","canonical_record":{"source":{"id":"1403.2375","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-03-09T15:03:02Z","cross_cats_sorted":[],"title_canon_sha256":"37ebbc07765961637bf6a250c641c02481bfdd1c2b4eff1cab68917fa1308acc","abstract_canon_sha256":"b800ecb0b64afbe74ed4a7990756a09f74df34d96744e80772149c71968539b7"},"schema_version":"1.0"},"canonical_sha256":"8fe6441fdea9ceb884d2ef38eac25b490e662577bc6c48e641fbebc5fafc1cf4","source":{"kind":"arxiv","id":"1403.2375","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2375","created_at":"2026-05-18T02:56:43Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2375v1","created_at":"2026-05-18T02:56:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2375","created_at":"2026-05-18T02:56:43Z"},{"alias_kind":"pith_short_12","alias_value":"R7TEIH66VHHL","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"R7TEIH66VHHLRBGS","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"R7TEIH66","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:R7TEIH66VHHLRBGS544OVQS3JE","target":"record","payload":{"canonical_record":{"source":{"id":"1403.2375","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-03-09T15:03:02Z","cross_cats_sorted":[],"title_canon_sha256":"37ebbc07765961637bf6a250c641c02481bfdd1c2b4eff1cab68917fa1308acc","abstract_canon_sha256":"b800ecb0b64afbe74ed4a7990756a09f74df34d96744e80772149c71968539b7"},"schema_version":"1.0"},"canonical_sha256":"8fe6441fdea9ceb884d2ef38eac25b490e662577bc6c48e641fbebc5fafc1cf4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:43.411181Z","signature_b64":"pCf3Q0kouhruz8XEI2KRd/1Jz0RVvOFzZywVnTd0aFSoN4u2ks5cVIPm55mxdmi/33R3+RKt/GrQSTwcD92WAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8fe6441fdea9ceb884d2ef38eac25b490e662577bc6c48e641fbebc5fafc1cf4","last_reissued_at":"2026-05-18T02:56:43.410741Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:43.410741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.2375","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":"2026-05-18T02:56:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8rDOXnSSA5SAKFyRltAiOPUn9e79CJuW71Y2RKx020/+tbudQTpzBzwSlsma80mUmrJbCEh5n4wE+A7qbin2Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:47:36.949192Z"},"content_sha256":"784bee37094961f0bd929ca724ded680fa9ae25cbac81d77741c558ee32eeaee","schema_version":"1.0","event_id":"sha256:784bee37094961f0bd929ca724ded680fa9ae25cbac81d77741c558ee32eeaee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:R7TEIH66VHHLRBGS544OVQS3JE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A predicable condition for boundary layer separation of 2-D incompressible fluid flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Hong Luo, Quan Wang, Tian Ma","submitted_at":"2014-03-09T15:03:02Z","abstract_excerpt":"In this paper, the solutions of Navier-Stokes equations with Dirichlet boundary conditions governing 2-D incompressible fluid flows are considered. A condition for boundary layer separation, which is determined by initial values and external forces, is obtained. More importantly, the condition can predict directly when and where boundary layer separation will occur. The main technical tool is geometric theory of incompressible flows developed by T. Ma and S.Wang."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2375","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":"2026-05-18T02:56:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4+xD6h6Eyq0erlnlmR6ExUdOlEGhi5oX83GDBWpk2ByZxl+HIHtX/WxWy+/Xef/VjG0Q+HzD8WCau+4r6PNYDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:47:36.949590Z"},"content_sha256":"811f527e1eb8d757fa2d95e5b9b0b135f83cc3c1835196e64465a6e74ad2526f","schema_version":"1.0","event_id":"sha256:811f527e1eb8d757fa2d95e5b9b0b135f83cc3c1835196e64465a6e74ad2526f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R7TEIH66VHHLRBGS544OVQS3JE/bundle.json","state_url":"https://pith.science/pith/R7TEIH66VHHLRBGS544OVQS3JE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R7TEIH66VHHLRBGS544OVQS3JE/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":"2026-05-28T17:47:36Z","links":{"resolver":"https://pith.science/pith/R7TEIH66VHHLRBGS544OVQS3JE","bundle":"https://pith.science/pith/R7TEIH66VHHLRBGS544OVQS3JE/bundle.json","state":"https://pith.science/pith/R7TEIH66VHHLRBGS544OVQS3JE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R7TEIH66VHHLRBGS544OVQS3JE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:R7TEIH66VHHLRBGS544OVQS3JE","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":"b800ecb0b64afbe74ed4a7990756a09f74df34d96744e80772149c71968539b7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-03-09T15:03:02Z","title_canon_sha256":"37ebbc07765961637bf6a250c641c02481bfdd1c2b4eff1cab68917fa1308acc"},"schema_version":"1.0","source":{"id":"1403.2375","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2375","created_at":"2026-05-18T02:56:43Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2375v1","created_at":"2026-05-18T02:56:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2375","created_at":"2026-05-18T02:56:43Z"},{"alias_kind":"pith_short_12","alias_value":"R7TEIH66VHHL","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"R7TEIH66VHHLRBGS","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"R7TEIH66","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:811f527e1eb8d757fa2d95e5b9b0b135f83cc3c1835196e64465a6e74ad2526f","target":"graph","created_at":"2026-05-18T02:56:43Z","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":"In this paper, the solutions of Navier-Stokes equations with Dirichlet boundary conditions governing 2-D incompressible fluid flows are considered. A condition for boundary layer separation, which is determined by initial values and external forces, is obtained. More importantly, the condition can predict directly when and where boundary layer separation will occur. The main technical tool is geometric theory of incompressible flows developed by T. Ma and S.Wang.","authors_text":"Hong Luo, Quan Wang, Tian Ma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-03-09T15:03:02Z","title":"A predicable condition for boundary layer separation of 2-D incompressible fluid flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2375","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":"sha256:784bee37094961f0bd929ca724ded680fa9ae25cbac81d77741c558ee32eeaee","target":"record","created_at":"2026-05-18T02:56:43Z","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":"b800ecb0b64afbe74ed4a7990756a09f74df34d96744e80772149c71968539b7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-03-09T15:03:02Z","title_canon_sha256":"37ebbc07765961637bf6a250c641c02481bfdd1c2b4eff1cab68917fa1308acc"},"schema_version":"1.0","source":{"id":"1403.2375","kind":"arxiv","version":1}},"canonical_sha256":"8fe6441fdea9ceb884d2ef38eac25b490e662577bc6c48e641fbebc5fafc1cf4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8fe6441fdea9ceb884d2ef38eac25b490e662577bc6c48e641fbebc5fafc1cf4","first_computed_at":"2026-05-18T02:56:43.410741Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:43.410741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pCf3Q0kouhruz8XEI2KRd/1Jz0RVvOFzZywVnTd0aFSoN4u2ks5cVIPm55mxdmi/33R3+RKt/GrQSTwcD92WAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:43.411181Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.2375","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:784bee37094961f0bd929ca724ded680fa9ae25cbac81d77741c558ee32eeaee","sha256:811f527e1eb8d757fa2d95e5b9b0b135f83cc3c1835196e64465a6e74ad2526f"],"state_sha256":"91d9a10552ab8b1d1f7ce8e2310b51c386539bee87df9e630bad56ce1df5cd97"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8T161cOHkPAT9rcvvqntMWonzBmaOmAoS1i78mxIymAwRQK5Hb2eRPTTSMl7jtE4gVD4Zu+SiEXmtvdKoBOYAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T17:47:36.952045Z","bundle_sha256":"2f8abac1e8363d2390d1c15f6b8c61bffe3b12dd0fa9579d9640d82fc4160e60"}}