Pith Number

pith:5AUANI3F

pith:2009:5AUANI3FKQ2IU5LZKP2OTKCZTF

not attested not anchored not stored refs pending

Present status of the Penrose inequality

Marc Mars

arxiv:0906.5566 v1 · 2009-06-30 · 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{5AUANI3FKQ2IU5LZKP2OTKCZTF}

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.

Cited by

1 paper in Pith

Black Hole Entropy Bounded by the Specific Heat

Receipt and verification

First computed	2026-07-04T15:53:23.107104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e82806a36554348a757953f4e9a859995f8a6338d978945f0a842919f802efc9

Aliases

arxiv: 0906.5566 · arxiv_version: 0906.5566v1 · doi: 10.48550/arxiv.0906.5566 · pith_short_12: 5AUANI3FKQ2I · pith_short_16: 5AUANI3FKQ2IU5LZ · pith_short_8: 5AUANI3F

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/5AUANI3FKQ2IU5LZKP2OTKCZTF \
  | 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: e82806a36554348a757953f4e9a859995f8a6338d978945f0a842919f802efc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c514fb9a4be76b8abe9410cd4ede4c5bcf55c0afcdc819ce8a3593ebde5a036",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-06-30T15:54:28Z",
    "title_canon_sha256": "8a8ea57214501df52ddb210311d3a01a8361f4b25cd32092142116c1b3798bc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5566",
    "kind": "arxiv",
    "version": 1
  }
}