Pith Number

pith:7KB2O7BR

pith:2018:7KB2O7BRAJWDEVIKRL6Y7R7EEV

not attested not anchored not stored refs pending

On some Liouville type theorems for the stationary equations of MHD

Pan Liu, Zhouyu Li

arxiv:1806.03427 v2 · 2018-06-09 · 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{7KB2O7BRAJWDEVIKRL6Y7R7EEV}

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	2026-05-18T00:12:24.121052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa83a77c31026c32550a8afd8fc7e4255c15c862a3f34b5e9ceac945b685bc33

Aliases

arxiv: 1806.03427 · arxiv_version: 1806.03427v2 · doi: 10.48550/arxiv.1806.03427 · pith_short_12: 7KB2O7BRAJWD · pith_short_16: 7KB2O7BRAJWDEVIK · pith_short_8: 7KB2O7BR

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/7KB2O7BRAJWDEVIKRL6Y7R7EEV \
  | 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: fa83a77c31026c32550a8afd8fc7e4255c15c862a3f34b5e9ceac945b685bc33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "017bf804dfcb080f167a51abebb5cf984e2b080f2398254f296a483c67413503",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-09T07:16:59Z",
    "title_canon_sha256": "8edebd323fdbf28adf62c3c292e55726eca45bce3b420d14b7d5a0164a2c8f9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03427",
    "kind": "arxiv",
    "version": 2
  }
}