Pith Number

pith:VZV76VIU

pith:2007:VZV76VIURNPPCCRBVU674YCW2Z

not attested not anchored not stored refs pending

Entropy of the Schwarzschild black hole to all orders in the Planck length

Yong-Wan Kim, Young-Jai Park

arxiv:0707.2128 v2 · 2007-07-14 · 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{VZV76VIURNPPCCRBVU674YCW2Z}

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

Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric

Receipt and verification

First computed	2026-07-04T15:24:27.643282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae6bff55148b5ef10a21ad3dfe6056d654ac6511315bd0ef70f0a239098b0918

Aliases

arxiv: 0707.2128 · arxiv_version: 0707.2128v2 · doi: 10.48550/arxiv.0707.2128 · pith_short_12: VZV76VIURNPP · pith_short_16: VZV76VIURNPPCCRB · pith_short_8: VZV76VIU

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/VZV76VIURNPPCCRBVU674YCW2Z \
  | 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: ae6bff55148b5ef10a21ad3dfe6056d654ac6511315bd0ef70f0a239098b0918

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f70ec96978f2389d6c8fd31b66d16a8994e8a010985db5c12f16d63b492cf87b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-07-14T07:58:06Z",
    "title_canon_sha256": "6fec3f17cf12d9069c9db7be756badaa527cdd36a56b68fbf6fb0918db5faf60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.2128",
    "kind": "arxiv",
    "version": 2
  }
}