Pith Number

pith:ZL3FUR2F

pith:2005:ZL3FUR2FQFM3MCSLF7W34GKD6U

not attested not anchored not stored refs pending

Exact and Asymptotic Degeneracies of Small Black Holes

Atish Dabholkar, Boris Pioline, Frederik Denef, Gregory W. Moore

arxiv:hep-th/0502157 v4 · 2005-02-17 · 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{ZL3FUR2FQFM3MCSLF7W34GKD6U}

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

1 paper in Pith

Machine learning automorphic forms for black holes

Receipt and verification

First computed	2026-07-04T17:20:48.876409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caf65a47458159b60a4b2fedbe1943f52261d039842fb1caeb19da3c18119ff2

Aliases

arxiv: hep-th/0502157 · arxiv_version: hep-th/0502157v4 · doi: 10.48550/arxiv.hep-th/0502157 · pith_short_12: ZL3FUR2FQFM3 · pith_short_16: ZL3FUR2FQFM3MCSL · pith_short_8: ZL3FUR2F

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/ZL3FUR2FQFM3MCSLF7W34GKD6U \
  | 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: caf65a47458159b60a4b2fedbe1943f52261d039842fb1caeb19da3c18119ff2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1a4e3283002c09c7596a9fa3e63604833049e4787965919209c4a925c32c717",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-02-17T19:48:33Z",
    "title_canon_sha256": "43da36654dcb8d5332334fb96a235ee9ca6da56108bb6f00b71e3f5d07fc8835"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0502157",
    "kind": "arxiv",
    "version": 4
  }
}