Pith Number

pith:MSIALBMH

pith:2011:MSIALBMHHIFDKY7ZFUU5YLTI7W

not attested not anchored not stored refs pending

The Limit of the Boltzmann Equation to the Euler Equations for Riemann Problems

Feimin Huang, Tong Yang, Yi Wang, Yong Wang

arxiv:1109.6751 v1 · 2011-09-30 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MSIALBMHHIFDKY7ZFUU5YLTI7W}

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	2026-05-18T04:11:52.547187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64900585873a0a3563f92d29dc2e68fdb171715eef94fb0cab3b06189678b60c

Aliases

arxiv: 1109.6751 · arxiv_version: 1109.6751v1 · doi: 10.48550/arxiv.1109.6751 · pith_short_12: MSIALBMHHIFD · pith_short_16: MSIALBMHHIFDKY7Z · pith_short_8: MSIALBMH

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/MSIALBMHHIFDKY7ZFUU5YLTI7W \
  | 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: 64900585873a0a3563f92d29dc2e68fdb171715eef94fb0cab3b06189678b60c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91923feb9b19311ceb70ef7b9000d346f5aa94151ac76f9291f8ffbb32a68157",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-30T08:40:15Z",
    "title_canon_sha256": "acb739df6b80f7fb26d8f7cddac3a42c45a41aedaf0dee1d0cb2d22147d5abbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6751",
    "kind": "arxiv",
    "version": 1
  }
}