Pith Number

pith:PY6WAWQX

pith:2011:PY6WAWQXSBIIJHBNMVT7YLSNTG

not attested not anchored not stored refs pending

Mixing rates of particle systems with energy exchange

Alexander Grigo, Domokos Szasz, Konstantin Khanin

arxiv:1109.2356 v1 · 2011-09-11 · math-ph · cond-mat.stat-mech · 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{PY6WAWQXSBIIJHBNMVT7YLSNTG}

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	2026-05-18T02:00:34.699116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e3d605a179050849c2d6567fc2e4d99b1e88835906bd9b4dba90dfa2298b48b

Aliases

arxiv: 1109.2356 · arxiv_version: 1109.2356v1 · doi: 10.48550/arxiv.1109.2356 · pith_short_12: PY6WAWQXSBII · pith_short_16: PY6WAWQXSBIIJHBN · pith_short_8: PY6WAWQX

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/PY6WAWQXSBIIJHBNMVT7YLSNTG \
  | 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: 7e3d605a179050849c2d6567fc2e4d99b1e88835906bd9b4dba90dfa2298b48b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8263d942ac8bc7b868698d6d430399b1a5b258281fcc3eb96f94dd9dc49f2d92",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-11T21:55:10Z",
    "title_canon_sha256": "b621880a7e18380a01cfa8e901d7e4fe0c38d855eff6b189ca84bf4f281f0152"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2356",
    "kind": "arxiv",
    "version": 1
  }
}