Pith Number

pith:U5PH3LI6

pith:2026:U5PH3LI6NNVZCERHI4TB7Y6GL2

not attested not anchored not stored refs resolved

Mapping the Turn: An Eulerian Binormal-Axis Diagnostic for Recirculating 3D Flows

John Marshall Cooper, Wen Wu

A new diagnostic extracts the local turning axis of streamlines directly from velocity and acceleration fields in 3D flows.

arxiv:2605.18439 v1 · 2026-05-18 · physics.flu-dyn

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3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

The diagnostic uses the velocity vector and its convective acceleration to extract the local streamline-turning axis without requiring explicit streamline integration, yielding a spatially resolved field of the recirculating direction.

C2weakest assumption

The Frenet-Serret binormal direction defined along an individual streamline can be recovered locally and pointwise from the velocity and convective acceleration fields in a manner that correctly represents the orientation of recirculation in 3D separated flows (motivated by the abstract's reference to the Frenet-Serret binormal).

C3one line summary

An Eulerian binormal-axis diagnostic extracts the local orientation of streamline turning in 3D recirculating flows from velocity and acceleration without explicit integration.

References

12 extracted · 12 resolved · 0 Pith anchors

[1] Kjaergaard et al., „Superconducting Qubits: Current State of Play”, Annu 1982 · doi:10.1146/annurev

[2] Délery, J., Three-Dimensional Separated Flow Topology: Critical Points, Separation Lines and Vortical Structures, Wiley-ISTE, London, 2013 2013

[3] Exact Theory of Unsteady Separation for T wo-Dimensional Flows, 2004 · doi:10.1017/s0022112004009929

[4] Exact Theory of Three-Dimensional Flow Separation. Part 1. Steady Separation, 2006 · doi:10.1017/s0022112006001261

[5] An Exact Theory of Three-Dimensional Fixed Separation in Unsteady Flows, 2008 · doi:10.1063/1.2988321

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-05-20T00:06:01.127945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a75e7dad1e6b6b91122747261fe3c65e8fbc6d28bc7da27f066396069644f2e0

Aliases

arxiv: 2605.18439 · arxiv_version: 2605.18439v1 · doi: 10.48550/arxiv.2605.18439 · pith_short_12: U5PH3LI6NNVZ · pith_short_16: U5PH3LI6NNVZCERH · pith_short_8: U5PH3LI6

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/U5PH3LI6NNVZCERHI4TB7Y6GL2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a75e7dad1e6b6b91122747261fe3c65e8fbc6d28bc7da27f066396069644f2e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75a364799674027c85f882216c2ed22233cd48e9290799e33d981e525fa23ef2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-05-18T14:10:17Z",
    "title_canon_sha256": "26cad192b9968b61e4175e8d8bd72d7b222b6a812111e02944b66775aadde8f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18439",
    "kind": "arxiv",
    "version": 1
  }
}