Pith Number

pith:2E5AQUYY

pith:2004:2E5AQUYYDHY4OXRUW3ZHYILNMO

not attested not anchored not stored refs pending

On the meaning of Tsallis functional in astrophysics

C. Sire, P.H. Chavanis

arxiv:cond-mat/0409569 v3 · 2004-09-22 · 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{2E5AQUYYDHY4OXRUW3ZHYILNMO}

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	2026-07-04T16:47:05.124805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d13a08531819f1c75e34b6f27c216d63af78361af237dcf491b9bac271e40940

Aliases

arxiv: cond-mat/0409569 · arxiv_version: cond-mat/0409569v3 · doi: 10.48550/arxiv.cond-mat/0409569 · pith_short_12: 2E5AQUYYDHY4 · pith_short_16: 2E5AQUYYDHY4OXRU · pith_short_8: 2E5AQUYY

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/2E5AQUYYDHY4OXRUW3ZHYILNMO \
  | 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: d13a08531819f1c75e34b6f27c216d63af78361af237dcf491b9bac271e40940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fffde3325cb2ad7870c6a157a8fd0b9e1a8d93dbb66accaa98bad469d9a21efa",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2004-09-22T08:18:36Z",
    "title_canon_sha256": "740a3a88359dc8c9fc0750a9444259a72f4c35ae5656a820c953d847857d4adc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0409569",
    "kind": "arxiv",
    "version": 3
  }
}