Pith Number

pith:MNU6TB5X

pith:2007:MNU6TB5XRKBA63P6RPG5TLG7H4

not attested not anchored not stored refs pending

On the Riemannian Penrose inequality in dimensions less than 8

Dan A. Lee, Hubert L. Bray

arxiv:0705.1128 v1 · 2007-05-08 · math.DG · 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{MNU6TB5XRKBA63P6RPG5TLG7H4}

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	2026-07-05T00:26:49.962717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6369e987b78a820f6dfe8bcdd9acdf3f0ac32a7717c7e65975b12719997c0ebe

Aliases

arxiv: 0705.1128 · arxiv_version: 0705.1128v1 · doi: 10.48550/arxiv.0705.1128 · pith_short_12: MNU6TB5XRKBA · pith_short_16: MNU6TB5XRKBA63P6 · pith_short_8: MNU6TB5X

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/MNU6TB5XRKBA63P6RPG5TLG7H4 \
  | 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: 6369e987b78a820f6dfe8bcdd9acdf3f0ac32a7717c7e65975b12719997c0ebe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aff7c98f528c67eb7d86d3ff8965ec9d12cfb18d499699f89bc1e1ed1eb2c20",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-05-08T16:45:55Z",
    "title_canon_sha256": "cfb2f50b1613c460fc8a30d2bd49ea46ed1c742a4b6076082753a1b823108ff5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.1128",
    "kind": "arxiv",
    "version": 1
  }
}