Pith Number

pith:JMPBUEWM

pith:2018:JMPBUEWMON7W4YO4Z5DJOGTOGF

not attested not anchored not stored refs pending

A $\varepsilon$-regularity criterion without pressure of suitable weak solutions to the Navier-Stokes equations at one scale

Daoguo Zhou, Gang Wu, Yanqing Wang

arxiv:1811.09927 v1 · 2018-11-25 · 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{JMPBUEWMON7W4YO4Z5DJOGTOGF}

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.

Receipt and verification

First computed	2026-05-17T23:59:57.250676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b1e1a12cc737f6e61dccf46971a6e31661a17daa62cdfb80e366e5a2bfc555f

Aliases

arxiv: 1811.09927 · arxiv_version: 1811.09927v1 · doi: 10.48550/arxiv.1811.09927 · pith_short_12: JMPBUEWMON7W · pith_short_16: JMPBUEWMON7W4YO4 · pith_short_8: JMPBUEWM

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/JMPBUEWMON7W4YO4Z5DJOGTOGF \
  | 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: 4b1e1a12cc737f6e61dccf46971a6e31661a17daa62cdfb80e366e5a2bfc555f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a276940f28ed5c67edda973f732f3d95d18d36e637dc2a5a4dcbe532148657b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-25T01:58:31Z",
    "title_canon_sha256": "ebc209fcdf2bbb6eddfe1b714d47e9a6390a77262412fb5a3ecec5b5223672ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09927",
    "kind": "arxiv",
    "version": 1
  }
}