Pith Number

pith:Y25JT2PJ

pith:2018:Y25JT2PJ5AGQWD6EGDQDCHZXPR

not attested not anchored not stored refs pending

On Liouville type theorems for the stationary MHD and Hall-MHD systems

Dongho Chae, Joerg Wolf

arxiv:1812.04495 v2 · 2018-12-10 · 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{Y25JT2PJ5AGQWD6EGDQDCHZXPR}

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	2026-05-17T23:58:01.301866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6ba99e9e9e80d0b0fc430e0311f377c5cf9d56e068c8bf4379b6fe54883c295

Aliases

arxiv: 1812.04495 · arxiv_version: 1812.04495v2 · doi: 10.48550/arxiv.1812.04495 · pith_short_12: Y25JT2PJ5AGQ · pith_short_16: Y25JT2PJ5AGQWD6E · pith_short_8: Y25JT2PJ

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/Y25JT2PJ5AGQWD6EGDQDCHZXPR \
  | 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: c6ba99e9e9e80d0b0fc430e0311f377c5cf9d56e068c8bf4379b6fe54883c295

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "856efb6c96f13d4280a9eff7001a354ca225318e80d87cce22e52c4971ab18d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-10T10:50:53Z",
    "title_canon_sha256": "e49e0dc52768e8a656e30be3cb9402495c6656ad39b6f34b858677c7c9c08a81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04495",
    "kind": "arxiv",
    "version": 2
  }
}