Pith Number

pith:GGP7EDCU

pith:2011:GGP7EDCUKKAAYAMM7LLTJ2OPUQ

not attested not anchored not stored refs pending

Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data

Fucai Li, Qiangchang Ju, Song Jiang, Zhouping Xin

arxiv:1111.2925 v3 · 2011-11-12 · 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{GGP7EDCUKKAAYAMM7LLTJ2OPUQ}

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	2026-05-18T02:54:13.035511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

319ff20c5452800c018cfad734e9cfa42df11b47d5ba9878c2e5c1ba6c23b28d

Aliases

arxiv: 1111.2925 · arxiv_version: 1111.2925v3 · doi: 10.48550/arxiv.1111.2925 · pith_short_12: GGP7EDCUKKAA · pith_short_16: GGP7EDCUKKAAYAMM · pith_short_8: GGP7EDCU

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/GGP7EDCUKKAAYAMM7LLTJ2OPUQ \
  | 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: 319ff20c5452800c018cfad734e9cfa42df11b47d5ba9878c2e5c1ba6c23b28d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0946e437c40d4d84f4ce70de48deb64307f7a9cd15bf123c4c33f48ef9a1db8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-12T13:36:54Z",
    "title_canon_sha256": "9bafa3e60b020d84b576d7b2cfece11e31910b2ada4b3e2102ea164b2a01d76c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2925",
    "kind": "arxiv",
    "version": 3
  }
}