Pith Number

pith:5QORBKUL

pith:1999:5QORBKULW5C2ZLHZQ3T3N33MSP

not attested not anchored not stored refs pending

Proof of the Riemannian Penrose Conjecture Using the Positive Mass Theorem

Hubert L. Bray

arxiv:math/9911173 v1 · 1999-11-23 · math.DG · 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{5QORBKULW5C2ZLHZQ3T3N33MSP}

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

Holographic Time Crystals vs Penrose

Receipt and verification

First computed	2026-07-04T14:41:23.656719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec1d10aa8bb745acacf986e7b6ef6c93ed118253a62d1e80107c3cab489874b1

Aliases

arxiv: math/9911173 · arxiv_version: math/9911173v1 · doi: 10.48550/arxiv.math/9911173 · pith_short_12: 5QORBKULW5C2 · pith_short_16: 5QORBKULW5C2ZLHZ · pith_short_8: 5QORBKUL

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/5QORBKULW5C2ZLHZQ3T3N33MSP \
  | 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: ec1d10aa8bb745acacf986e7b6ef6c93ed118253a62d1e80107c3cab489874b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4897e73ff0661ca323a0670cc7ecbc002e079811750b1b6cac30e80f18459cac",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1999-11-23T00:54:51Z",
    "title_canon_sha256": "7f26b37e1d6df1afea088923e1ee8778bc79ef2756202d3455b9bc381963eb76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9911173",
    "kind": "arxiv",
    "version": 1
  }
}