Pith Number

pith:BAOOAHTA

pith:2004:BAOOAHTAP6FMG2MOKBDAK36X3R

not attested not anchored not stored refs pending

Microscopic Entropy of the Black Ring

Andrew Strominger, David Mateos, Michelle Cyrier, Monica Guica

arxiv:hep-th/0411187 v2 · 2004-11-20 · 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{BAOOAHTAP6FMG2MOKBDAK36X3R}

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

Large Order Enumerative Geometry, Black Holes and Black Rings

Receipt and verification

First computed	2026-07-04T15:49:58.119177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

081ce01e607f8ac3698e5046056fd7dc6ba7451869f49dd554e7c80426d8f73a

Aliases

arxiv: hep-th/0411187 · arxiv_version: hep-th/0411187v2 · doi: 10.48550/arxiv.hep-th/0411187 · pith_short_12: BAOOAHTAP6FM · pith_short_16: BAOOAHTAP6FMG2MO · pith_short_8: BAOOAHTA

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/BAOOAHTAP6FMG2MOKBDAK36X3R \
  | 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: 081ce01e607f8ac3698e5046056fd7dc6ba7451869f49dd554e7c80426d8f73a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f7e7d7689cda45bc32958507691305c10b572cca705339414a76559078a0cb3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-11-20T22:09:30Z",
    "title_canon_sha256": "1463d3bdd39af772bd130c3c159ef2baa1fbdf8ce9b76534b3d73532b353de90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0411187",
    "kind": "arxiv",
    "version": 2
  }
}