Pith Number

pith:RYGZYQO2

pith:2012:RYGZYQO2Y2W3E63QLBG2KY6RZW

not attested not anchored not stored refs pending

On the positivity of a quasi-local mass in general dimensions

Kwok-Kun Kwong

arxiv:1207.7333 v2 · 2012-07-31 · 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{RYGZYQO2Y2W3E63QLBG2KY6RZW}

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	2026-05-18T03:27:01.558891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e0d9c41dac6adb27b70584da563d1cd9f6acaa8da0a0fe2b52c90a00ea9c612

Aliases

arxiv: 1207.7333 · arxiv_version: 1207.7333v2 · doi: 10.48550/arxiv.1207.7333 · pith_short_12: RYGZYQO2Y2W3 · pith_short_16: RYGZYQO2Y2W3E63Q · pith_short_8: RYGZYQO2

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/RYGZYQO2Y2W3E63QLBG2KY6RZW \
  | 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: 8e0d9c41dac6adb27b70584da563d1cd9f6acaa8da0a0fe2b52c90a00ea9c612

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6360e5bfcf61dc8ed71f0f3291f7acd3e19d53ad440680f79779659274247f05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-31T18:02:18Z",
    "title_canon_sha256": "5abcbb24a0bb9332e7e5463107b0c305f6b8f36d59047b0bd390728aa80c85e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7333",
    "kind": "arxiv",
    "version": 2
  }
}