Pith Number

pith:4WQIHRZX

pith:2024:4WQIHRZXUBGDEMOE4BVV6MTNJV

not attested not anchored not stored refs pending

On the Sobolev stability threshold for 3D Navier-Stokes equations with rotation near the Couette flow

Wenting Huang, Xiaojing Xu, Ying Sun

arxiv:2409.05104 v2 · 2024-09-08 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WQIHRZXUBGDEMOE4BVV6MTNJV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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.

Cited by

1 paper in Pith

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane

Receipt and verification

First computed	2026-07-05T09:12:30.958811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5a083c737a04c3231c4e06b5f326d4d73f38b24a9e47d0b238d2a074cfbf10b

Aliases

arxiv: 2409.05104 · arxiv_version: 2409.05104v2 · doi: 10.48550/arxiv.2409.05104 · pith_short_12: 4WQIHRZXUBGD · pith_short_16: 4WQIHRZXUBGDEMOE · pith_short_8: 4WQIHRZX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4WQIHRZXUBGDEMOE4BVV6MTNJV \
  | 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: e5a083c737a04c3231c4e06b5f326d4d73f38b24a9e47d0b238d2a074cfbf10b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a6ece89b7ee9e6b718da7df3d27177df25de4fd56e3654017c15412bad312df",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-09-08T14:17:31Z",
    "title_canon_sha256": "95dc9ffe2699fd7dedb89d1314ebb2e0cce662de3843131a9cf33aa4122bb70f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.05104",
    "kind": "arxiv",
    "version": 2
  }
}