Pith Number

pith:P7IMZ75A

pith:2009:P7IMZ75ARNENSIR3BK3CSKY5OO

not attested not anchored not stored refs pending

Static black hole uniqueness and Penrose inequality

Ryosuke Mizuno, Seiju Ohashi, Tetsuya Shiromizu

arxiv:0911.5560 v1 · 2009-11-30 · gr-qc · astro-ph.CO · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7IMZ75ARNENSIR3BK3CSKY5OO}

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	2026-05-18T03:23:56.700908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fd0ccffa08b48d9223b0ab6292b1d73aff4bccd37759fa5130c3e56446341f9

Aliases

arxiv: 0911.5560 · arxiv_version: 0911.5560v1 · doi: 10.48550/arxiv.0911.5560 · pith_short_12: P7IMZ75ARNEN · pith_short_16: P7IMZ75ARNENSIR3 · pith_short_8: P7IMZ75A

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/P7IMZ75ARNENSIR3BK3CSKY5OO \
  | 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: 7fd0ccffa08b48d9223b0ab6292b1d73aff4bccd37759fa5130c3e56446341f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d2191b1fb2f92e57faed2790691fd584611dd04676771a3cfac04b1f3917196",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-11-30T07:34:37Z",
    "title_canon_sha256": "6e584eea71556683ff8c6d58a02c639f790ae36e6f9300b9976c5e87de3435b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.5560",
    "kind": "arxiv",
    "version": 1
  }
}