Pith Number

pith:CJXUYCG4

pith:2025:CJXUYCG45TLF7NVVH6UQQADJKF

not attested not anchored not stored refs pending

On the sharp critical mass threshold for the 3D Patlak-Keller-Segel-Navier-Stokes system via Couette flow

Juncheng Wei, Lili Wang, Shikun Cui, Wendong Wang

arxiv:2506.10578 v1 · 2025-06-12 · 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{CJXUYCG45TLF7NVVH6UQQADJKF}

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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

Global bounded solutions for a class of generalized Hillen-Painter models near Couette flow in $\mathbb{R}^2$

Receipt and verification

First computed	2026-07-05T11:20:26.681107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

126f4c08dcecd65fb6b53fa9080069515dcadc39ee222314cef37833f722643f

Aliases

arxiv: 2506.10578 · arxiv_version: 2506.10578v1 · doi: 10.48550/arxiv.2506.10578 · pith_short_12: CJXUYCG45TLF · pith_short_16: CJXUYCG45TLF7NVV · pith_short_8: CJXUYCG4

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/CJXUYCG45TLF7NVVH6UQQADJKF \
  | 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: 126f4c08dcecd65fb6b53fa9080069515dcadc39ee222314cef37833f722643f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6d0cefc801a313a11858b4230faf772450e9a925cb5134bf96b55c3eb5dd1f9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-12T11:13:03Z",
    "title_canon_sha256": "0bf843c9aa16e127c8761e454153d669ca6dd42958b3582726fae326b1f6f48b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.10578",
    "kind": "arxiv",
    "version": 1
  }
}