Pith Number

pith:OUQBY6OO

pith:2011:OUQBY6OO5K3TLDVQBHPBIWOFBW

not attested not anchored not stored refs pending

A lower bound for the mass of axisymmetric connected black hole data sets

Luc Nguyen, Piotr T. Chru\'sciel

arxiv:1102.1175 v1 · 2011-02-06 · 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{OUQBY6OO5K3TLDVQBHPBIWOFBW}

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	2026-05-18T04:22:41.217585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75201c79ceeab7358eb009de1459c50dab2ea30f1de9b848a3fd3ed95264a78a

Aliases

arxiv: 1102.1175 · arxiv_version: 1102.1175v1 · doi: 10.48550/arxiv.1102.1175 · pith_short_12: OUQBY6OO5K3T · pith_short_16: OUQBY6OO5K3TLDVQ · pith_short_8: OUQBY6OO

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/OUQBY6OO5K3TLDVQBHPBIWOFBW \
  | 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: 75201c79ceeab7358eb009de1459c50dab2ea30f1de9b848a3fd3ed95264a78a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e424900bb187e6e029196e27b87e9b57c968ac8b20fc47aa24567175b53d134b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-02-06T17:19:11Z",
    "title_canon_sha256": "040ce3bcf32fed3d2c0914db7cd37476c20c6e409378a9cf2d69626f358b13ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1175",
    "kind": "arxiv",
    "version": 1
  }
}