Pith Number

pith:TU7A3R7P

pith:2019:TU7A3R7PHNNYGRDPBSUTOPYVKC

not attested not anchored not stored refs pending

Liouville-type theorems for the planer stationary MHD equations with growth at infinity

Wendong Wang

arxiv:1903.05989 v2 · 2019-03-14 · 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{TU7A3R7PHNNYGRDPBSUTOPYVKC}

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	2026-05-17T23:44:28.994844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d3e0dc7ef3b5b83446f0ca9373f1550878c582b66724a430dba53005cf2d8a3

Aliases

arxiv: 1903.05989 · arxiv_version: 1903.05989v2 · doi: 10.48550/arxiv.1903.05989 · pith_short_12: TU7A3R7PHNNY · pith_short_16: TU7A3R7PHNNYGRDP · pith_short_8: TU7A3R7P

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/TU7A3R7PHNNYGRDPBSUTOPYVKC \
  | 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: 9d3e0dc7ef3b5b83446f0ca9373f1550878c582b66724a430dba53005cf2d8a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19a6ac5e13311945edaca9bcaa24a69ad08380502b60c9a706bd7c0cc3f1ec73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-14T13:36:11Z",
    "title_canon_sha256": "373560cd7058092038f0155a450f5c032f2c10f0c22aa1fbdaf352185fa86a96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05989",
    "kind": "arxiv",
    "version": 2
  }
}