{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:FU2NPNGAGNAPCEQO7ZY7ADVBQC","short_pith_number":"pith:FU2NPNGA","schema_version":"1.0","canonical_sha256":"2d34d7b4c03340f1120efe71f00ea18083bfef166f200c1d1a1df6ced7697538","source":{"kind":"arxiv","id":"1308.6224","version":2},"attestation_state":"computed","paper":{"title":"The genesis of streamwise-localized solutions from globally periodic travelling waves in pipe flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Ashley P. Willis, Matthew Chantry, Rich R. Kerswell","submitted_at":"2013-08-28T17:17:44Z","abstract_excerpt":"The aim in the dynamical systems approach to transitional turbulence is to construct a scaffold in phase space for the dynamics using simple invariant sets (exact solutions) and their stable and unstable manifolds. In large (realistic) domains where turbulence can co-exist with laminar flow, this requires identifying exact localized solutions. In wall-bounded shear flows the first of these has recently been found in pipe flow, but questions remain as to how they are connected to the many known streamwise-periodic solutions. Here we demonstrate the origin of the first localized solution in a mo"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1308.6224","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-08-28T17:17:44Z","cross_cats_sorted":[],"title_canon_sha256":"559dec04821705b7c7583e738570fb328445eb84f609f781390ed612cb20993a","abstract_canon_sha256":"b6cd0cca50231e7b62e1ffce4d076fce67324e5f535f32b7ee0b9fd4154b8121"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:58.375159Z","signature_b64":"AkG01W2G1Ii/tMTCmRauCdrzc0MeAwdiZgHmTb502zegV1QkjODmyrlzPeERjZO0vIMyETZE7C6NOqzFxhOpAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d34d7b4c03340f1120efe71f00ea18083bfef166f200c1d1a1df6ced7697538","last_reissued_at":"2026-05-18T02:52:58.374696Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:58.374696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The genesis of streamwise-localized solutions from globally periodic travelling waves in pipe flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Ashley P. Willis, Matthew Chantry, Rich R. Kerswell","submitted_at":"2013-08-28T17:17:44Z","abstract_excerpt":"The aim in the dynamical systems approach to transitional turbulence is to construct a scaffold in phase space for the dynamics using simple invariant sets (exact solutions) and their stable and unstable manifolds. In large (realistic) domains where turbulence can co-exist with laminar flow, this requires identifying exact localized solutions. In wall-bounded shear flows the first of these has recently been found in pipe flow, but questions remain as to how they are connected to the many known streamwise-periodic solutions. Here we demonstrate the origin of the first localized solution in a mo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.6224","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1308.6224","created_at":"2026-05-18T02:52:58.374762+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.6224v2","created_at":"2026-05-18T02:52:58.374762+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.6224","created_at":"2026-05-18T02:52:58.374762+00:00"},{"alias_kind":"pith_short_12","alias_value":"FU2NPNGAGNAP","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"FU2NPNGAGNAPCEQO","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"FU2NPNGA","created_at":"2026-05-18T12:27:45.050594+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FU2NPNGAGNAPCEQO7ZY7ADVBQC","json":"https://pith.science/pith/FU2NPNGAGNAPCEQO7ZY7ADVBQC.json","graph_json":"https://pith.science/api/pith-number/FU2NPNGAGNAPCEQO7ZY7ADVBQC/graph.json","events_json":"https://pith.science/api/pith-number/FU2NPNGAGNAPCEQO7ZY7ADVBQC/events.json","paper":"https://pith.science/paper/FU2NPNGA"},"agent_actions":{"view_html":"https://pith.science/pith/FU2NPNGAGNAPCEQO7ZY7ADVBQC","download_json":"https://pith.science/pith/FU2NPNGAGNAPCEQO7ZY7ADVBQC.json","view_paper":"https://pith.science/paper/FU2NPNGA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.6224&json=true","fetch_graph":"https://pith.science/api/pith-number/FU2NPNGAGNAPCEQO7ZY7ADVBQC/graph.json","fetch_events":"https://pith.science/api/pith-number/FU2NPNGAGNAPCEQO7ZY7ADVBQC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FU2NPNGAGNAPCEQO7ZY7ADVBQC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FU2NPNGAGNAPCEQO7ZY7ADVBQC/action/storage_attestation","attest_author":"https://pith.science/pith/FU2NPNGAGNAPCEQO7ZY7ADVBQC/action/author_attestation","sign_citation":"https://pith.science/pith/FU2NPNGAGNAPCEQO7ZY7ADVBQC/action/citation_signature","submit_replication":"https://pith.science/pith/FU2NPNGAGNAPCEQO7ZY7ADVBQC/action/replication_record"}},"created_at":"2026-05-18T02:52:58.374762+00:00","updated_at":"2026-05-18T02:52:58.374762+00:00"}