Pith Number

pith:FPDQV7BD

pith:2004:FPDQV7BDCDUO6MP7XEHHE3KGV7

not attested not anchored not stored refs pending

An improved estimate of black hole entropy in the quantum geometry approach

A. Ghosh, P. Mitra

arxiv:gr-qc/0411035 v3 · 2004-11-08 · 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{FPDQV7BDCDUO6MP7XEHHE3KGV7}

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	2026-07-04T16:47:49.827172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bc70afc2310e8ef31ffb90e726d46afc1b3deb5044adfc81759d2ece8b669ae

Aliases

arxiv: gr-qc/0411035 · arxiv_version: gr-qc/0411035v3 · doi: 10.48550/arxiv.gr-qc/0411035 · pith_short_12: FPDQV7BDCDUO · pith_short_16: FPDQV7BDCDUO6MP7 · pith_short_8: FPDQV7BD

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/FPDQV7BDCDUO6MP7XEHHE3KGV7 \
  | 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: 2bc70afc2310e8ef31ffb90e726d46afc1b3deb5044adfc81759d2ece8b669ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afb83d1005f967c6e92756ac0b6b12303563a8930381878d594573f87e09586b",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-11-08T11:00:54Z",
    "title_canon_sha256": "7cf1418fa6ab9ae725553b59c34182987c28f278981a4f9d4eff9bbe3f5744e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0411035",
    "kind": "arxiv",
    "version": 3
  }
}