Pith Number

pith:P2CPNL63

pith:2011:P2CPNL63QVQ7W2CO2FVH27IHKE

not attested not anchored not stored refs pending

Low Mach number limit for the multi-dimensional Full magnetohydrodynamic equations

Fucai Li, Qiangchang Ju, Song Jiang

arxiv:1105.0729 v2 · 2011-05-04 · 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{P2CPNL63QVQ7W2CO2FVH27IHKE}

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	2026-05-18T02:02:09.186583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e84f6afdb8561fb684ed16a7d7d0751130293074aa0e67066aeeea8a4ca2a31

Aliases

arxiv: 1105.0729 · arxiv_version: 1105.0729v2 · doi: 10.48550/arxiv.1105.0729 · pith_short_12: P2CPNL63QVQ7 · pith_short_16: P2CPNL63QVQ7W2CO · pith_short_8: P2CPNL63

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/P2CPNL63QVQ7W2CO2FVH27IHKE \
  | 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: 7e84f6afdb8561fb684ed16a7d7d0751130293074aa0e67066aeeea8a4ca2a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "841c92b10471699d41550fb347f8be7e9e026c076bcd000070ead4998907509d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-04T03:12:37Z",
    "title_canon_sha256": "513b3f32dbe6fb39d217a07fdbd7c83bac3df245b9476ca08b178d7a8354a0f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0729",
    "kind": "arxiv",
    "version": 2
  }
}