Pith Number

pith:I2QT7JZK

pith:2001:I2QT7JZK2ACQ5TN2Y6ETZQ72UA

not attested not anchored not stored refs pending

Gravothermal Catastrophe and Generalized Entropy of Self-Gravitating Systems

Atsushi Taruya, Masa-aki Sakagami

arxiv:cond-mat/0107494 v2 · 2001-07-24 · cond-mat.stat-mech · astro-ph · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2QT7JZK2ACQ5TN2Y6ETZQ72UA}

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

2 papers in Pith

Black Hole Thermodynamics via Tsallis Statistical Mechanics and Phase Transitions Probed by Optical Characteristics

Receipt and verification

First computed	2026-07-04T16:26:02.402769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46a13fa72ad0050ecdbac7893cc3faa00c805545225833ee24d675adb7d21745

Aliases

arxiv: cond-mat/0107494 · arxiv_version: cond-mat/0107494v2 · doi: 10.48550/arxiv.cond-mat/0107494 · pith_short_12: I2QT7JZK2ACQ · pith_short_16: I2QT7JZK2ACQ5TN2 · pith_short_8: I2QT7JZK

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/I2QT7JZK2ACQ5TN2Y6ETZQ72UA \
  | 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: 46a13fa72ad0050ecdbac7893cc3faa00c805545225833ee24d675adb7d21745

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ac3d1e97ab9f18580ddad6a408c375701e5bfad95b4e9728270d5464019c9b9",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2001-07-24T08:31:08Z",
    "title_canon_sha256": "3fad8368c4928f7b915a64901b695bb2b58fea99adfa980541cdb2444cafdfee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0107494",
    "kind": "arxiv",
    "version": 2
  }
}