Pith Number

pith:3T3F2OA4

pith:2010:3T3F2OA4RJVDODQ4FOSWTQKEGP

not attested not anchored not stored refs pending

A counterexample to a Penrose inequality conjectured by Gibbons

Gilbert Weinstein, Sergio Dain, Sumio Yamada

arxiv:1012.4190 v2 · 2010-12-19 · gr-qc · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3T3F2OA4RJVDODQ4FOSWTQKEGP}

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	2026-05-18T04:23:02.539311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcf65d381c8a6a370e1c2ba569c14433e9cfeb157a7b843db5d82efdc8d5044f

Aliases

arxiv: 1012.4190 · arxiv_version: 1012.4190v2 · doi: 10.48550/arxiv.1012.4190 · pith_short_12: 3T3F2OA4RJVD · pith_short_16: 3T3F2OA4RJVDODQ4 · pith_short_8: 3T3F2OA4

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/3T3F2OA4RJVDODQ4FOSWTQKEGP \
  | 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: dcf65d381c8a6a370e1c2ba569c14433e9cfeb157a7b843db5d82efdc8d5044f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac84a61fe70a506ae71ba1d0464335566f3ef15ceb69dd03d45b9f8dbcf1ffb4",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-12-19T17:55:23Z",
    "title_canon_sha256": "6b99f3e96340c0f2c031d86b6694ed060a2a13bd0934ada860f50579370d56d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4190",
    "kind": "arxiv",
    "version": 2
  }
}