Pith Number

pith:52NCFYRA

pith:2001:52NCFYRAH7JHFDO3K22FPXYCDJ

not attested not anchored not stored refs pending

CFT and Entropy on the Brane

Erik Verlinde, Ivo Savonije

arxiv:hep-th/0102042 v3 · 2001-02-08 · 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{52NCFYRAH7JHFDO3K22FPXYCDJ}

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	2026-05-18T02:36:12.497404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee9a22e2203fd2728ddb56b457df021a79f483c89dc4f5fdc173c1dddd93ae66

Aliases

arxiv: hep-th/0102042 · arxiv_version: hep-th/0102042v3 · doi: 10.48550/arxiv.hep-th/0102042 · pith_short_12: 52NCFYRAH7JH · pith_short_16: 52NCFYRAH7JHFDO3 · pith_short_8: 52NCFYRA

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/52NCFYRAH7JHFDO3K22FPXYCDJ \
  | 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: ee9a22e2203fd2728ddb56b457df021a79f483c89dc4f5fdc173c1dddd93ae66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8441039bda2eeb0984e65de45429c0eea736d415d24801a625e8edbcaca341c6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-02-08T23:50:43Z",
    "title_canon_sha256": "78cc4e9aa93d45cdbd5318414c937d96b9b1cda6409ce9176f8963e39b503a59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0102042",
    "kind": "arxiv",
    "version": 3
  }
}