{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3ZRS5QWFXUEJVQCCIDKWTADTWY","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":"e73a6f2e7ee70ea419305cf9ab9772a13068f93a0b29d1528b6eadbbe3318bb3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-08-21T22:18:23Z","title_canon_sha256":"c2e4a879e18b493506ac94b77f3dd5af53853b9de1a58e104a10d6c33fc3850b"},"schema_version":"1.0","source":{"id":"1408.5167","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.5167","created_at":"2026-05-18T02:44:39Z"},{"alias_kind":"arxiv_version","alias_value":"1408.5167v1","created_at":"2026-05-18T02:44:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.5167","created_at":"2026-05-18T02:44:39Z"},{"alias_kind":"pith_short_12","alias_value":"3ZRS5QWFXUEJ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3ZRS5QWFXUEJVQCC","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3ZRS5QWF","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:432dafefbc3bb3daa966bd627d892b0ea0f98a698beb9902fecffc19cb86ae8e","target":"graph","created_at":"2026-05-18T02:44:39Z","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":"Spectral/hp element methods and an arbitrary Lagrangian-Eulerian (ALE) moving-boundary technique are used to investigate planar Newtonian extrudate swell. Newtonian extrudate swell arises when viscous liquids exit long die slits. The problem is characterised by a stress singularity at the end of the slit which is inherently difficult to capture and strongly influences the predicted swelling of the fluid. The impact of inertia (0 <Re < 100) and slip along the die wall on the free surface profile and the velocity and pressure values in the domain and around the singularity are investigated. The ","authors_text":"Christopher Cantwell, Susanne Claus, Tim Phillips","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-08-21T22:18:23Z","title":"Spectral/hp element methods for plane Newtonian extrudate swell"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.5167","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:bbf2bf2a7f309b38fcc710fdd10eca544ca2405b0b167b10224309dd85204888","target":"record","created_at":"2026-05-18T02:44:39Z","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":"e73a6f2e7ee70ea419305cf9ab9772a13068f93a0b29d1528b6eadbbe3318bb3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-08-21T22:18:23Z","title_canon_sha256":"c2e4a879e18b493506ac94b77f3dd5af53853b9de1a58e104a10d6c33fc3850b"},"schema_version":"1.0","source":{"id":"1408.5167","kind":"arxiv","version":1}},"canonical_sha256":"de632ec2c5bd089ac04240d5698073b600ce3a017fe87a5d56b3a9cc93386682","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de632ec2c5bd089ac04240d5698073b600ce3a017fe87a5d56b3a9cc93386682","first_computed_at":"2026-05-18T02:44:39.317908Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:39.317908Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uYpafOj7UsIYPN8xITSn2ed7/ceFA24Yjko/1Hlfwg5b9O5cHIHJ9J9jwh/dr9iEOPFhu4xx7tz8n0oc6XFAAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:39.318539Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.5167","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bbf2bf2a7f309b38fcc710fdd10eca544ca2405b0b167b10224309dd85204888","sha256:432dafefbc3bb3daa966bd627d892b0ea0f98a698beb9902fecffc19cb86ae8e"],"state_sha256":"5487ab42560d9d05c97cae57c6c2776486f7233662e648222f2fcd9df2e1bf81"}