Pith Number

pith:7FANX6ZX

pith:2006:7FANX6ZXQ6CM656FFK4YIOGRDF

not attested not anchored not stored refs pending

Black hole entropy functions and attractor equations

B. de Wit, G.L. Cardoso, S. Mahapatra

arxiv:hep-th/0612225 v2 · 2006-12-20 · 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{7FANX6ZXQ6CM656FFK4YIOGRDF}

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	2026-05-18T04:38:25.406307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f940dbfb378784cf77c52ab98438d1194476d8ef15d9fe2a020027e0e2096dbf

Aliases

arxiv: hep-th/0612225 · arxiv_version: hep-th/0612225v2 · doi: 10.48550/arxiv.hep-th/0612225 · pith_short_12: 7FANX6ZXQ6CM · pith_short_16: 7FANX6ZXQ6CM656F · pith_short_8: 7FANX6ZX

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/7FANX6ZXQ6CM656FFK4YIOGRDF \
  | 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: f940dbfb378784cf77c52ab98438d1194476d8ef15d9fe2a020027e0e2096dbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "247a3b7d5e336f23d2d35679e198faf990ccaea35f352215e61adf4edd1fd60a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-12-20T18:14:17Z",
    "title_canon_sha256": "cfbc87195655df8c0e9a83af2ddb842c65df015ada226b9bd3502802793f8532"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0612225",
    "kind": "arxiv",
    "version": 2
  }
}