Pith Number

pith:FMCHTQ4K

pith:2010:FMCHTQ4KZE3POVV7CR72XHDVYK

not attested not anchored not stored refs pending

A Extended Cosmological Cardy-Verlinde Formula

Marcos C. Verges, Thiago G. Prado

arxiv:1011.5252 v1 · 2010-11-23 · gr-qc · astro-ph.CO · 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{FMCHTQ4KZE3POVV7CR72XHDVYK}

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	2026-05-18T04:34:47.700974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b0479c38ac936f756bf147fab9c75c294cd8ec1df0d933b7f79c67f7c574557

Aliases

arxiv: 1011.5252 · arxiv_version: 1011.5252v1 · doi: 10.48550/arxiv.1011.5252 · pith_short_12: FMCHTQ4KZE3P · pith_short_16: FMCHTQ4KZE3POVV7 · pith_short_8: FMCHTQ4K

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/FMCHTQ4KZE3POVV7CR72XHDVYK \
  | 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: 2b0479c38ac936f756bf147fab9c75c294cd8ec1df0d933b7f79c67f7c574557

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5de8831530ca4977594ca06ca7146e3e81229bca2996b574ccde038f16b8935a",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-11-23T22:39:48Z",
    "title_canon_sha256": "3ad780aa974cd63804f7a17791b544ab463b06e7f84a3d412e6075b31b55cea3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5252",
    "kind": "arxiv",
    "version": 1
  }
}