Pith Number

pith:Y22BUFYK

pith:2008:Y22BUFYKNJKZXI5FTZODMRJUX5

not attested not anchored not stored refs pending

Property of Tsallis entropy and principle of entropy increase

Jiulin Du

arxiv:0802.3424 v1 · 2008-02-24 · cond-mat.stat-mech · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y22BUFYKNJKZXI5FTZODMRJUX5}

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	2026-05-18T01:35:42.418528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6b41a170a6a559ba3a59e5c364534bf57a140a8042ff7ca64fafc6f0516b439

Aliases

arxiv: 0802.3424 · arxiv_version: 0802.3424v1 · doi: 10.48550/arxiv.0802.3424 · pith_short_12: Y22BUFYKNJKZ · pith_short_16: Y22BUFYKNJKZXI5F · pith_short_8: Y22BUFYK

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/Y22BUFYKNJKZXI5FTZODMRJUX5 \
  | 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: c6b41a170a6a559ba3a59e5c364534bf57a140a8042ff7ca64fafc6f0516b439

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05800677be6dc06e71719c1934ff6fd3232566723d367a6477b7fd275f96450c",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2008-02-24T03:08:08Z",
    "title_canon_sha256": "9f4d7e06e1c0982496445d61d4fd7cb0c0562c86a7572fa499c374955c4c9f0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.3424",
    "kind": "arxiv",
    "version": 1
  }
}