Pith Number

pith:33WMTTDO

pith:2004:33WMTTDO5DGUALAA2HJVG5SQUD

not attested not anchored not stored refs pending

Entropy and universality of Cardy-Verlinde formula in dark energy universe

Iver Brevik, Luciano Vanzo, Sergei D. Odintsov, Shin'ichi Nojiri

arxiv:hep-th/0401073 v2 · 2004-01-12 · hep-th · 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{33WMTTDO5DGUALAA2HJVG5SQUD}

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

3 papers in Pith

An Interplay Between Fractional Calculus and Holographic Dark Energy

Modified Gravity and Cosmology

Born-Infeld-f(R) black holes

Receipt and verification

First computed	2026-07-04T15:36:07.293071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deecc9cc6ee8cd402c00d1d3537650a0c48181ade14514902e81e97f4d2069db

Aliases

arxiv: hep-th/0401073 · arxiv_version: hep-th/0401073v2 · doi: 10.48550/arxiv.hep-th/0401073 · pith_short_12: 33WMTTDO5DGU · pith_short_16: 33WMTTDO5DGUALAA · pith_short_8: 33WMTTDO

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/33WMTTDO5DGUALAA2HJVG5SQUD \
  | 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: deecc9cc6ee8cd402c00d1d3537650a0c48181ade14514902e81e97f4d2069db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34604b626232caca698ae011e2ebfa97768aa3cb2ecb89ed7eecfad04a23ba1c",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-01-12T14:12:04Z",
    "title_canon_sha256": "69de8e6c00c36169a6365f07493487390368ae19f597cb2ddf1a081c08460a44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0401073",
    "kind": "arxiv",
    "version": 2
  }
}