Pith Number

pith:A36YHONE

pith:2009:A36YHONEPLTQCLJJQDIQ2VOQ4Y

not attested not anchored not stored refs pending

A counter-example to a recent version of the Penrose conjecture

Alberto Carrasco, Marc Mars

arxiv:0911.0883 v2 · 2009-11-04 · 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{A36YHONEPLTQCLJJQDIQ2VOQ4Y}

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	2026-05-18T02:10:59.495046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06fd83b9a47ae7012d2980d10d55d0e6043085b97076c532bf753b2d47b4dcef

Aliases

arxiv: 0911.0883 · arxiv_version: 0911.0883v2 · doi: 10.48550/arxiv.0911.0883 · pith_short_12: A36YHONEPLTQ · pith_short_16: A36YHONEPLTQCLJJ · pith_short_8: A36YHONE

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/A36YHONEPLTQCLJJQDIQ2VOQ4Y \
  | 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: 06fd83b9a47ae7012d2980d10d55d0e6043085b97076c532bf753b2d47b4dcef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67288831822c07877ad42806ed75ac8fe1b9f440b5f63b0d5ddbe322238f2dc3",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-11-04T17:18:58Z",
    "title_canon_sha256": "4a9d021a1b12d725b0cb354ece4d12c6eeb9fad1e0c34612ffd31036707f5553"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0883",
    "kind": "arxiv",
    "version": 2
  }
}