{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:NZJNOJTXTGC6YA55TYVX5PJ45K","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":"411f5054bb13f09e840f7e6f367c4989862675df3ff185c9203b708aecc54380","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2011-01-21T12:56:19Z","title_canon_sha256":"ebd8e0d23785ce7358bc2cf6aa4879679673df13cc636076a46603717fca4741"},"schema_version":"1.0","source":{"id":"1101.4125","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.4125","created_at":"2026-05-18T02:22:50Z"},{"alias_kind":"arxiv_version","alias_value":"1101.4125v3","created_at":"2026-05-18T02:22:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.4125","created_at":"2026-05-18T02:22:50Z"},{"alias_kind":"pith_short_12","alias_value":"NZJNOJTXTGC6","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NZJNOJTXTGC6YA55","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NZJNOJTX","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:9a667047a8a5970a8a1dce3b8317a7bc2ecdbf6fcf8abb5d690098c953cd8571","target":"graph","created_at":"2026-05-18T02:22:50Z","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":"Transitional pipe flow is modeled as a one-dimensional excitable and bistable medium. Models are presented in two variables, turbulence intensity and mean shear, that evolve according to established properties of transitional turbulence. A continuous model captures the essence of the puff-slug transition as a change from excitability to bistability. A discrete model, that additionally incorporates turbulence locally as a chaotic repeller, reproduces almost all large-scale features of transitional pipe flow. In particular it captures metastable localized puffs, puff splitting, slugs, a continuo","authors_text":"Dwight Barkley","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2011-01-21T12:56:19Z","title":"Simplifying the complexity of pipe flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.4125","kind":"arxiv","version":3},"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:ee9d63888a24bdacc82d53b5e2b3b3982ff1cc92295ac65ed709feea50bd9a41","target":"record","created_at":"2026-05-18T02:22:50Z","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":"411f5054bb13f09e840f7e6f367c4989862675df3ff185c9203b708aecc54380","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2011-01-21T12:56:19Z","title_canon_sha256":"ebd8e0d23785ce7358bc2cf6aa4879679673df13cc636076a46603717fca4741"},"schema_version":"1.0","source":{"id":"1101.4125","kind":"arxiv","version":3}},"canonical_sha256":"6e52d726779985ec03bd9e2b7ebd3ceaa8f6a723176908057272859503b9dcf8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e52d726779985ec03bd9e2b7ebd3ceaa8f6a723176908057272859503b9dcf8","first_computed_at":"2026-05-18T02:22:50.743219Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:22:50.743219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GoFf6+8Z3wS7tCJFqtZ1ioAu4fw/hKeIvZifHCwO6tQ9N/VaKkm7Hx99Zf5eAXnlAZMBU5sheQEkrYWQR/s1DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:22:50.743811Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.4125","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee9d63888a24bdacc82d53b5e2b3b3982ff1cc92295ac65ed709feea50bd9a41","sha256:9a667047a8a5970a8a1dce3b8317a7bc2ecdbf6fcf8abb5d690098c953cd8571"],"state_sha256":"b8545329400112f92255d2f55245c73de9845a88e67d166f98806f9515892a44"}