Pith Number

pith:KCX2V5O7

pith:2010:KCX2V5O7RJDT43HC2OQK52WMZ3

not attested not anchored not stored refs pending

Exponential Convergence to the Maxwell Distribution For Some Class of Boltzmann Equations

Juerg Froehlich, Zhou Gang

arxiv:1011.4194 v2 · 2010-11-18 · 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{KCX2V5O7RJDT43HC2OQK52WMZ3}

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	2026-05-18T00:54:04.196526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50afaaf5df8a473e6ce2d3a0aeeacccef61a834cf500ff7551d2fc2d3378ee28

Aliases

arxiv: 1011.4194 · arxiv_version: 1011.4194v2 · doi: 10.48550/arxiv.1011.4194 · pith_short_12: KCX2V5O7RJDT · pith_short_16: KCX2V5O7RJDT43HC · pith_short_8: KCX2V5O7

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/KCX2V5O7RJDT43HC2OQK52WMZ3 \
  | 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: 50afaaf5df8a473e6ce2d3a0aeeacccef61a834cf500ff7551d2fc2d3378ee28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9830fdd3278af040aadf417f2447adca4fde7b3bb726f3c9748e0a4394b51a8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-18T14:12:13Z",
    "title_canon_sha256": "c7ebd7af36faddc44b174a783442f07ce6ae67b60cb0094ba52d27ddc0a43337"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4194",
    "kind": "arxiv",
    "version": 2
  }
}