Pith Number

pith:Z7ZSIQ3N

pith:2010:Z7ZSIQ3NF35YUDYZXFBBNSZVRJ

not attested not anchored not stored refs pending

Critical points of Wang-Yau quasi-local energy

Luen-fai Tam, Naqing Xie, Pengzi Miao

arxiv:1003.5048 v2 · 2010-03-26 · 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{Z7ZSIQ3NF35YUDYZXFBBNSZVRJ}

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	2026-05-18T04:22:01.059554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cff324436d2efb8a0f19b94216cb358a616867f46dfe03712d527d85c3ee66f6

Aliases

arxiv: 1003.5048 · arxiv_version: 1003.5048v2 · doi: 10.48550/arxiv.1003.5048 · pith_short_12: Z7ZSIQ3NF35Y · pith_short_16: Z7ZSIQ3NF35YUDYZ · pith_short_8: Z7ZSIQ3N

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/Z7ZSIQ3NF35YUDYZXFBBNSZVRJ \
  | 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: cff324436d2efb8a0f19b94216cb358a616867f46dfe03712d527d85c3ee66f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a7f990c9df93427011f23e1b74d23302544959e759970150136caf242c06ef0",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-03-26T06:42:56Z",
    "title_canon_sha256": "41ed588c584a39c2d3e634db2b0afe492e14194753f51d75b6dfb88c4713a8dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5048",
    "kind": "arxiv",
    "version": 2
  }
}