Pith Number

pith:USY2ORMV

pith:2023:USY2ORMVRJEPB2ZFX2WPQBLPYZ

not attested not anchored not stored refs pending

Geometric Inequality for Axisymmetric Black Holes With Angular Momentum

Ruodi Yan, Shing-Tung Yau, Sijie Gao, Xuefeng Feng, Yun-Kau Lau

arxiv:2312.10590 v2 · 2023-12-17 · 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{USY2ORMVRJEPB2ZFX2WPQBLPYZ}

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	2026-07-05T10:30:52.030909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4b1a745958a48f0eb25beacf8056fc67d02821076cfb76c66939182498fbf00

Aliases

arxiv: 2312.10590 · arxiv_version: 2312.10590v2 · doi: 10.48550/arxiv.2312.10590 · pith_short_12: USY2ORMVRJEP · pith_short_16: USY2ORMVRJEPB2ZF · pith_short_8: USY2ORMV

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/USY2ORMVRJEPB2ZFX2WPQBLPYZ \
  | 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: a4b1a745958a48f0eb25beacf8056fc67d02821076cfb76c66939182498fbf00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7267074cda27da0ef7386baf26413a05de9d9ec4084e5e23ac39d6effb7e07f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-12-17T02:46:40Z",
    "title_canon_sha256": "3be10b71493b008a0eb493654ae2bfbdfefd183dd64c3e5faa1963c9e1db4ce2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.10590",
    "kind": "arxiv",
    "version": 2
  }
}