Pith Number

pith:QY4UCM5Y

pith:2007:QY4UCM5Y46YADXRNCC3WIFGVL7

not attested not anchored not stored refs pending

On the regularity criterion of weak solution for the 3D viscous Magneto-hydrodynamics equations

Changxing Miao, Qionglei Chen, Zhifei Zhang

arxiv:0711.0123 v2 · 2007-11-01 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QY4UCM5Y46YADXRNCC3WIFGVL7}

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	2026-07-04T15:15:55.109701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86394133b8e7b001de2d10b76414d55fe0fcf0e04b05e657c8cd138b4b484a9e

Aliases

arxiv: 0711.0123 · arxiv_version: 0711.0123v2 · doi: 10.48550/arxiv.0711.0123 · pith_short_12: QY4UCM5Y46YA · pith_short_16: QY4UCM5Y46YADXRN · pith_short_8: QY4UCM5Y

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/QY4UCM5Y46YADXRNCC3WIFGVL7 \
  | 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: 86394133b8e7b001de2d10b76414d55fe0fcf0e04b05e657c8cd138b4b484a9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bdd0a75f9523a71161cd674e8a388d934b44095ede21e23ce45a03ab865ebf0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-11-01T14:10:52Z",
    "title_canon_sha256": "55603d5b4756c4fb6c0c14e7d12a1359e3dc9ecc7259eb4c8373ff0149b7dcc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0123",
    "kind": "arxiv",
    "version": 2
  }
}