Pith Number

pith:ETAUCQV5

pith:2001:ETAUCQV5OC5XZJLBA2X3XVYSOH

not attested not anchored not stored refs pending

Cardy-Verlinde Formula and Thermodynamics of Black Holes in de Sitter Spaces

Rong-Gen Cai

arxiv:hep-th/0112253 v2 · 2001-12-31 · 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{ETAUCQV5OC5XZJLBA2X3XVYSOH}

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 chemistry: thermodynamics with Lambda

Receipt and verification

First computed	2026-07-04T15:26:47.342138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24c14142bd70bb7ca56106afbbd71271e5aa901a4abce1f788e75b4903e6caef

Aliases

arxiv: hep-th/0112253 · arxiv_version: hep-th/0112253v2 · doi: 10.48550/arxiv.hep-th/0112253 · pith_short_12: ETAUCQV5OC5X · pith_short_16: ETAUCQV5OC5XZJLB · pith_short_8: ETAUCQV5

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/ETAUCQV5OC5XZJLBA2X3XVYSOH \
  | 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: 24c14142bd70bb7ca56106afbbd71271e5aa901a4abce1f788e75b4903e6caef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cba09674521f51f2f923d06399f546ba25823e9d2653e88d103c203180f10410",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-12-31T06:44:45Z",
    "title_canon_sha256": "1b9e3e549c534ddc30b839d030acddfe070b282de2835a15e02e66458bce8ba4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0112253",
    "kind": "arxiv",
    "version": 2
  }
}