Pith Number

pith:UB3NGHA2

pith:2018:UB3NGHA2IYNKRK5ZBCAKDDDL72

not attested not anchored not stored refs pending

The Minkowski formula and the quasi-local mass

Mu-Tao Wang, Po-Ning Chen, Shing-Tung Yau

arxiv:1804.08216 v1 · 2018-04-23 · 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{UB3NGHA2IYNKRK5ZBCAKDDDL72}

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	2026-05-17T23:50:28.151382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a076d31c1a461aa8abb90880a18c6bfe9c8068997250282234c4efc9c628753c

Aliases

arxiv: 1804.08216 · arxiv_version: 1804.08216v1 · doi: 10.48550/arxiv.1804.08216 · pith_short_12: UB3NGHA2IYNK · pith_short_16: UB3NGHA2IYNKRK5Z · pith_short_8: UB3NGHA2

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/UB3NGHA2IYNKRK5ZBCAKDDDL72 \
  | 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: a076d31c1a461aa8abb90880a18c6bfe9c8068997250282234c4efc9c628753c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9af717bda85437b60c875bb746f847deae00f47bf53c65560a4013774a6c7d1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-04-23T01:45:52Z",
    "title_canon_sha256": "986e18c59736e47193da6df3597028a6d219464cb34467c5a59fca1fba218930"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08216",
    "kind": "arxiv",
    "version": 1
  }
}