Pith Number

pith:WEDQ4CRN

pith:2005:WEDQ4CRNFNHTHGEXZQIBFUZRH7

not attested not anchored not stored refs pending

Statistical entropy of the Schwarzschild black hole

Mariano Cadoni

arxiv:hep-th/0511103 v1 · 2005-11-09 · 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{WEDQ4CRNFNHTHGEXZQIBFUZRH7}

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	2026-07-04T16:56:23.329821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1070e0a2d2b4f339897cc1012d3313fd34242fa2d56df1adaad2962511549d7

Aliases

arxiv: hep-th/0511103 · arxiv_version: hep-th/0511103v1 · doi: 10.48550/arxiv.hep-th/0511103 · pith_short_12: WEDQ4CRNFNHT · pith_short_16: WEDQ4CRNFNHTHGEX · pith_short_8: WEDQ4CRN

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/WEDQ4CRNFNHTHGEXZQIBFUZRH7 \
  | 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: b1070e0a2d2b4f339897cc1012d3313fd34242fa2d56df1adaad2962511549d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95bb2c32f82f86e43e8c94c7971ccf513244b57d3b4aa548bdb29a581537c265",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-11-09T08:34:10Z",
    "title_canon_sha256": "de224e0e69374c75d5984b3168006aebf9b5bbcf1c18e3b1ed23a8bbb9cd6dcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0511103",
    "kind": "arxiv",
    "version": 1
  }
}