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Writing $r_j$ and $v_j$ for the dimensionless jet-base radius and velocity, the local Weber number $We_j=r_j v^2_j$ measures inertia relative to capillarity. The theory, supported by accurate numerical simulations gives $r_j\\propto\\tau^{\\alpha(\\beta)}$ with $\\alpha\\simeq0.63$ and, hence $We_j\\gg1$, with $We_j\\to\\infty$ as $r_j\\to0$, so inertia increasingly o"},"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":"2607.08972","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-07-09T22:29:55Z","cross_cats_sorted":[],"title_canon_sha256":"957df0762d01431626320db9f137ef365c2d11038b2be4d442114b5fca70bef0","abstract_canon_sha256":"ec0b96a9dbf106e8b1fc7a912470143baa2c04394cf86a4c768ec7ec29a01129"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-13T00:17:31.071566Z","signature_b64":"PGQ/byTeFO1eX3CIbiRvdaQqZTjNVMUqTCXwc0FqxUHCY3bSXzBGFj7z0MDO+uLcKVN06TaJPXGC6frILpMFBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13baedbc1da086244e88026b465fa2ba63373ba83f9b8f521ef8d74198bf890d","last_reissued_at":"2026-07-13T00:17:31.070563Z","signature_status":"signed_v1","first_computed_at":"2026-07-13T00:17:31.070563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Self-similar Worthington jets","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Javier Rodr\\'iguez-Rodr\\'iguez, Jos\\'e M. 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