Pith Number

pith:ZPNHMZ5I

pith:2004:ZPNHMZ5IS3FU4ISUT73WYINNMJ

not attested not anchored not stored refs pending

Microscopic interpretation of black hole entropy

M. Cvitan, P. Prester, S. Pallua

arxiv:hep-th/0405075 v2 · 2004-05-10 · 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{ZPNHMZ5IS3FU4ISUT73WYINNMJ}

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	2026-05-18T01:38:46.257861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbda7667a896cb4e22549ff76c21ad62583d40b9eb8efdc0af6ad62ae16a8270

Aliases

arxiv: hep-th/0405075 · arxiv_version: hep-th/0405075v2 · doi: 10.48550/arxiv.hep-th/0405075 · pith_short_12: ZPNHMZ5IS3FU · pith_short_16: ZPNHMZ5IS3FU4ISU · pith_short_8: ZPNHMZ5I

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/ZPNHMZ5IS3FU4ISUT73WYINNMJ \
  | 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: cbda7667a896cb4e22549ff76c21ad62583d40b9eb8efdc0af6ad62ae16a8270

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53d5b4beb03b5b3f32eba601a998a8520afbad85bdf580c2dfb048e1e121eafe",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-05-10T10:44:01Z",
    "title_canon_sha256": "c42c5470162e4cb8453f7181869c09391fd9c81c625ba07cbb59cfa75d8bcf23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0405075",
    "kind": "arxiv",
    "version": 2
  }
}