Pith Number

pith:CRSH2Y73

pith:2013:CRSH2Y73KCKOFXNHRRESXWAAQV

not attested not anchored not stored refs pending

Regularity criteria for the 3D MHD equations in term of velocity

Qiru Wang, Qunyi Bie, Zhengan Yao

arxiv:1312.1012 v1 · 2013-12-04 · 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{CRSH2Y73KCKOFXNHRRESXWAAQV}

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	2026-05-18T03:05:35.164849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14647d63fb5094e2dda78c492bd800854dd5d0039355ddd44f6a0117b9394280

Aliases

arxiv: 1312.1012 · arxiv_version: 1312.1012v1 · doi: 10.48550/arxiv.1312.1012 · pith_short_12: CRSH2Y73KCKO · pith_short_16: CRSH2Y73KCKOFXNH · pith_short_8: CRSH2Y73

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/CRSH2Y73KCKOFXNHRRESXWAAQV \
  | 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: 14647d63fb5094e2dda78c492bd800854dd5d0039355ddd44f6a0117b9394280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7901c9a2c22bf1b74c1b110c03fec1f97e15b1d94a7ac76061bae053bdc7c355",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-04T03:22:50Z",
    "title_canon_sha256": "6d11e24d1f626299367c2440fbf824b3b88267bb204a5276c626bd69e66c30eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1012",
    "kind": "arxiv",
    "version": 1
  }
}