Pith Number

pith:ZX3XROA5

pith:2012:ZX3XROA55TIRCCMPPDKGEGBNLN

not attested not anchored not stored refs pending

The Hoop Conjecture for Black Rings

A. H. Mujtaba, C. N. Pope

arxiv:1211.6030 v1 · 2012-11-26 · hep-th · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZX3XROA55TIRCCMPPDKGEGBNLN}

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	2026-05-18T01:52:54.935991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdf778b81decd111098f78d462182d5b4c3cf72d389597ad337b57df509766be

Aliases

arxiv: 1211.6030 · arxiv_version: 1211.6030v1 · doi: 10.48550/arxiv.1211.6030 · pith_short_12: ZX3XROA55TIR · pith_short_16: ZX3XROA55TIRCCMP · pith_short_8: ZX3XROA5

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/ZX3XROA55TIRCCMPPDKGEGBNLN \
  | 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: cdf778b81decd111098f78d462182d5b4c3cf72d389597ad337b57df509766be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f558528ac9bce27995a4216856a8c50a113fff3078b9443bb2e489d8b30f872",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-11-26T17:33:39Z",
    "title_canon_sha256": "2f22395da80e151767b6fb6d86f91b1e69f72eddc644b3a7fc674a4b065c34db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6030",
    "kind": "arxiv",
    "version": 1
  }
}