Pith Number

pith:VHSNFPHV

pith:2004:VHSNFPHVWGRMWY3LROMTYPJJMQ

not attested not anchored not stored refs pending

Ln(3) and Black Hole Entropy

Olaf Dreyer

arxiv:gr-qc/0404055 v2 · 2004-04-13 · 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{VHSNFPHVWGRMWY3LROMTYPJJMQ}

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	2026-05-18T00:37:30.364467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9e4d2bcf5b1a2cb636b8b993c3d296419dbb0eeb3e4b388ff791e173b9b40b3

Aliases

arxiv: gr-qc/0404055 · arxiv_version: gr-qc/0404055v2 · doi: 10.48550/arxiv.gr-qc/0404055 · pith_short_12: VHSNFPHVWGRM · pith_short_16: VHSNFPHVWGRMWY3L · pith_short_8: VHSNFPHV

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/VHSNFPHVWGRMWY3LROMTYPJJMQ \
  | 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: a9e4d2bcf5b1a2cb636b8b993c3d296419dbb0eeb3e4b388ff791e173b9b40b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea314d5def4f2d3d09a49685ea0a37b6342c6ff5a8b830e07b491431bd505f8b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-04-13T01:45:32Z",
    "title_canon_sha256": "55ff823ddf35edb4a3181f3c0b8b084032f0c55984cc0fd1386f14946382efd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0404055",
    "kind": "arxiv",
    "version": 2
  }
}