Pith Number

pith:5JZR36GT

pith:1999:5JZR36GT75BXIGOWLOMT5KY3OC

not attested not anchored not stored refs pending

Renormalization of Black Hole Entropy

Jae Hyung Yee, Kwang-Sup Soh, Sang Pyo Kim, Sung Ku Kim

arxiv:gr-qc/9901038 v1 · 1999-01-14 · 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{5JZR36GT75BXIGOWLOMT5KY3OC}

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	2026-07-04T15:27:12.510549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea731df8d3ff437419d65b993eab1b708de903adccafee0c033099750dd129d2

Aliases

arxiv: gr-qc/9901038 · arxiv_version: gr-qc/9901038v1 · doi: 10.48550/arxiv.gr-qc/9901038 · pith_short_12: 5JZR36GT75BX · pith_short_16: 5JZR36GT75BXIGOW · pith_short_8: 5JZR36GT

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/5JZR36GT75BXIGOWLOMT5KY3OC \
  | 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: ea731df8d3ff437419d65b993eab1b708de903adccafee0c033099750dd129d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90e4b4c86efc65ef3a92d93ea334c4765612bdf082630534b996afebca065311",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-01-14T04:53:39Z",
    "title_canon_sha256": "41ca53d2637501ad205be905755e4372c888cd04e66d70f9a45fc6d487458d52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9901038",
    "kind": "arxiv",
    "version": 1
  }
}