Pith Number

pith:4PBQKXOS

pith:2004:4PBQKXOS2UA7UUU4KZIHS4APVO

not attested not anchored not stored refs pending

Asymptotic degeneracy of dyonic N=4 string states and black hole entropy

B. de Wit, G.L. Cardoso, J. K\"appeli, T. Mohaupt

arxiv:hep-th/0412287 v1 · 2004-12-23 · 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{4PBQKXOS2UA7UUU4KZIHS4APVO}

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.

Cited by

2 papers in Pith

Generating Function of single-centered Black Hole Index in CHL Models

Logarithm of charge ratio in black hole entropy

Receipt and verification

First computed	2026-07-04T16:49:08.660940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3c3055dd2d501fa529c565079700fabbdef09e6a28d65b4f5d8062a6aef051b

Aliases

arxiv: hep-th/0412287 · arxiv_version: hep-th/0412287v1 · doi: 10.48550/arxiv.hep-th/0412287 · pith_short_12: 4PBQKXOS2UA7 · pith_short_16: 4PBQKXOS2UA7UUU4 · pith_short_8: 4PBQKXOS

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/4PBQKXOS2UA7UUU4KZIHS4APVO \
  | 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: e3c3055dd2d501fa529c565079700fabbdef09e6a28d65b4f5d8062a6aef051b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d4c1d76a88e7c6e8842f1bd64a903f077daa5ae178d30d6f6fd063288056d60",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-12-23T16:40:09Z",
    "title_canon_sha256": "0e4bb1aca273476c8894e1346b1e1146fb98dcde5149efd63cbf93336584017f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0412287",
    "kind": "arxiv",
    "version": 1
  }
}