Pith Number

pith:JNWJSCJQ

pith:2002:JNWJSCJQH75AXTIWUFA5QCZGSW

not attested not anchored not stored refs pending

A critique of non-extensive q-entropy for thermal statistics

Michael Nauenberg

arxiv:cond-mat/0210561 v2 · 2002-10-24 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JNWJSCJQH75AXTIWUFA5QCZGSW}

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.

Cited by

1 paper in Pith

Black Holes Thermodynamics and Generalised Non-Extensive Entropy

Receipt and verification

First computed	2026-07-04T16:33:16.033670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b6c9909303ffa0bcd16a141d80b2695963186cd34b05dedfe150973edc2e2af

Aliases

arxiv: cond-mat/0210561 · arxiv_version: cond-mat/0210561v2 · doi: 10.48550/arxiv.cond-mat/0210561 · pith_short_12: JNWJSCJQH75A · pith_short_16: JNWJSCJQH75AXTIW · pith_short_8: JNWJSCJQ

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/JNWJSCJQH75AXTIWUFA5QCZGSW \
  | 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: 4b6c9909303ffa0bcd16a141d80b2695963186cd34b05dedfe150973edc2e2af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "363b4ca8f177a660b5b55b26c7081ca7b28608750de3350e59b19dacbcecf50e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2002-10-24T21:49:46Z",
    "title_canon_sha256": "f1af2c1406b82f9fb6fca8785687cd02e1531b2bc041294fbd32e7e58bd9a537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0210561",
    "kind": "arxiv",
    "version": 2
  }
}