Pith Number

pith:5MSTRF35

pith:2010:5MSTRF35ZIYV3UR756JFXQFVIW

not attested not anchored not stored refs pending

The Graphs Cases of the Riemannian Positive Mass and Penrose Inequalities in All Dimensions

Mau-Kwong George Lam

arxiv:1010.4256 v1 · 2010-10-20 · 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{5MSTRF35ZIYV3UR756JFXQFVIW}

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	2026-05-18T04:38:59.557649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb2538977dca315dd23fef925bc0b5458eb7d9b6f91c58e4c65a8c20d6c04a65

Aliases

arxiv: 1010.4256 · arxiv_version: 1010.4256v1 · doi: 10.48550/arxiv.1010.4256 · pith_short_12: 5MSTRF35ZIYV · pith_short_16: 5MSTRF35ZIYV3UR7 · pith_short_8: 5MSTRF35

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/5MSTRF35ZIYV3UR756JFXQFVIW \
  | 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: eb2538977dca315dd23fef925bc0b5458eb7d9b6f91c58e4c65a8c20d6c04a65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a4c4d514ebbad905fdc72a065407b1e800f78be22d5ba4684896465f3a0ae83",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-10-20T17:33:02Z",
    "title_canon_sha256": "bf725da75be0ce1934070e53c3e1f152b972d69b4b7de7e58fa90c9a79050815"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4256",
    "kind": "arxiv",
    "version": 1
  }
}