Pith Number

pith:A4JHK4VC

pith:2010:A4JHK4VCKMI5UPAWMNEBHYVXXL

not attested not anchored not stored refs pending

Incompressible limit of the compressible magnetohydrodynamic equations with periodic boundary conditions

Fucai Li, Qiangchang Ju, Song Jiang

arxiv:1010.5296 v1 · 2010-10-26 · 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{A4JHK4VCKMI5UPAWMNEBHYVXXL}

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	2026-05-18T04:38:39.071999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07127572a25311da3c16634813e2b7bace932b92ba3ea7313906ee7ad360beeb

Aliases

arxiv: 1010.5296 · arxiv_version: 1010.5296v1 · doi: 10.48550/arxiv.1010.5296 · pith_short_12: A4JHK4VCKMI5 · pith_short_16: A4JHK4VCKMI5UPAW · pith_short_8: A4JHK4VC

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/A4JHK4VCKMI5UPAWMNEBHYVXXL \
  | 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: 07127572a25311da3c16634813e2b7bace932b92ba3ea7313906ee7ad360beeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a31d901b73f345e07d1906ccb9d900932288030698faea2a4aac24c582cd2868",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-26T01:31:57Z",
    "title_canon_sha256": "7c12b13ed394204f7a0379769c9cd1e0921f99ab85050ee98a6c0bd4361ed0e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5296",
    "kind": "arxiv",
    "version": 1
  }
}