Pith Number

pith:65QGWZGX

pith:2015:65QGWZGXBUCHW367HHK6LOBKV4

not attested not anchored not stored refs pending

Towards an $H$-theorem for granular gases

C. Mouhot, E. Trizac, M. I. Garc\'ia de Soria, P. Maynar, S. Mischler, T. Rey

arxiv:1508.06838 v1 · 2015-08-27 · cond-mat.stat-mech · 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{65QGWZGXBUCHW367HHK6LOBKV4}

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	2026-05-18T01:18:25.270148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7606b64d70d047b6fdf39d5e5b82aaf17dda7d09bbe4d94e041eb07b4ec103a

Aliases

arxiv: 1508.06838 · arxiv_version: 1508.06838v1 · doi: 10.48550/arxiv.1508.06838 · pith_short_12: 65QGWZGXBUCH · pith_short_16: 65QGWZGXBUCHW367 · pith_short_8: 65QGWZGX

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/65QGWZGXBUCHW367HHK6LOBKV4 \
  | 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: f7606b64d70d047b6fdf39d5e5b82aaf17dda7d09bbe4d94e041eb07b4ec103a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcddd3d38689d9b9dba8eea25dfd42eeac23041b27c47b23556f181c50de4044",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-08-27T12:57:42Z",
    "title_canon_sha256": "7268c49d1744a1c5f681a5ed87a5c7134c72f832ded00b0dec4ec4f85199f18b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06838",
    "kind": "arxiv",
    "version": 1
  }
}