Pith Number

pith:UBGKC2LU

pith:2022:UBGKC2LUWRGKSLPLKTNZSXL55P

not attested not anchored not stored refs pending

Tightening the Penrose Inequality

H. Khodabakhshi, H. Lu, Run-Qiu Yang

arxiv:2207.08833 v2 · 2022-07-18 · gr-qc · 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{UBGKC2LUWRGKSLPLKTNZSXL55P}

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

Black Hole Entropy Bounded by the Specific Heat

Receipt and verification

First computed	2026-07-05T05:08:29.864644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a04ca16974b44ca92deb54db995d7debecf22eae724ef4b8dd5fad21983a79f8

Aliases

arxiv: 2207.08833 · arxiv_version: 2207.08833v2 · doi: 10.48550/arxiv.2207.08833 · pith_short_12: UBGKC2LUWRGK · pith_short_16: UBGKC2LUWRGKSLPL · pith_short_8: UBGKC2LU

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/UBGKC2LUWRGKSLPLKTNZSXL55P \
  | 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: a04ca16974b44ca92deb54db995d7debecf22eae724ef4b8dd5fad21983a79f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "768a3c5dc4baca0a10e36144f96f058d6ab1f4d4b40c9d5a24776db9748db1d3",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-07-18T18:00:02Z",
    "title_canon_sha256": "27ba07ed2427890cd88902c46fcd3f012b4df260a51bfc5b382888624f8dbe1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.08833",
    "kind": "arxiv",
    "version": 2
  }
}