Pith Number

pith:COKKMYBX

pith:2001:COKKMYBXEJHABCKCSO3NI5J2PM

not attested not anchored not stored refs pending

On the Cardy-Verlinde Entropy Formula in Viscous Cosmology

I. Brevik, S. D. Odintsov

arxiv:gr-qc/0110105 v2 · 2001-10-24 · gr-qc · 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{COKKMYBXEJHABCKCSO3NI5J2PM}

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	2026-07-04T15:36:06.580310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1394a66037224e00894293b6d4753a7b060f4b3d48b81cd2630a30a7af1d794c

Aliases

arxiv: gr-qc/0110105 · arxiv_version: gr-qc/0110105v2 · doi: 10.48550/arxiv.gr-qc/0110105 · pith_short_12: COKKMYBXEJHA · pith_short_16: COKKMYBXEJHABCKC · pith_short_8: COKKMYBX

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/COKKMYBXEJHABCKCSO3NI5J2PM \
  | 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: 1394a66037224e00894293b6d4753a7b060f4b3d48b81cd2630a30a7af1d794c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9815cc4891e3dbe63582f61b7bca21c5ab3d8331b87893d9527f12c6f354feb9",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-10-24T11:54:11Z",
    "title_canon_sha256": "3ad45268fa994a32c88ac190ad1bc5486251bb62ac15e947d2168c20e545bacc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0110105",
    "kind": "arxiv",
    "version": 2
  }
}