Pith Number

pith:XK7V5KWW

pith:2001:XK7V5KWWPPAICXWPGNEYIQGBYB

not attested not anchored not stored refs pending

Area scaling entropies for gravitating systems

Jonathan Oppenheim

arxiv:gr-qc/0105101 v1 · 2001-05-28 · gr-qc · astro-ph · cond-mat.stat-mech · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XK7V5KWWPPAICXWPGNEYIQGBYB}

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 Hole Thermodynamics via Tsallis Statistical Mechanics

Receipt and verification

First computed	2026-07-04T17:28:36.242408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

babf5eaad67bc0815ecf33498440c1c046aa605ad648b7fce903fa16fbf39e95

Aliases

arxiv: gr-qc/0105101 · arxiv_version: gr-qc/0105101v1 · doi: 10.48550/arxiv.gr-qc/0105101 · pith_short_12: XK7V5KWWPPAI · pith_short_16: XK7V5KWWPPAICXWP · pith_short_8: XK7V5KWW

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/XK7V5KWWPPAICXWPGNEYIQGBYB \
  | 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: babf5eaad67bc0815ecf33498440c1c046aa605ad648b7fce903fa16fbf39e95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa6ce22b58900b8701d09a528efdc4f716f527f14915d2c06029720ea8fb3e04",
    "cross_cats_sorted": [
      "astro-ph",
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-05-28T00:57:09Z",
    "title_canon_sha256": "32e37592821b4c6f28a1f53f49a314f17cace6707510d8a05dff6fd0104e1430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0105101",
    "kind": "arxiv",
    "version": 1
  }
}