Pith Number

pith:7UBBW3BH

pith:2019:7UBBW3BHFT2MOIE3NO5J7XYO7Z

not attested not anchored not stored refs pending

Quasi-local mass on unit spheres at spatial infinity

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

arxiv:1901.06954 v1 · 2019-01-21 · gr-qc · math-ph · math.DG · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UBBW3BHFT2MOIE3NO5J7XYO7Z}

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	2026-05-17T23:55:48.580381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd021b6c272cf4c7209b6bba9fdf0efe6832f781edb1b4a9fb966f86e0ba5d5c

Aliases

arxiv: 1901.06954 · arxiv_version: 1901.06954v1 · doi: 10.48550/arxiv.1901.06954 · pith_short_12: 7UBBW3BHFT2M · pith_short_16: 7UBBW3BHFT2MOIE3 · pith_short_8: 7UBBW3BH

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/7UBBW3BHFT2MOIE3NO5J7XYO7Z \
  | 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: fd021b6c272cf4c7209b6bba9fdf0efe6832f781edb1b4a9fb966f86e0ba5d5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be9914d47c4c9a4743f50a254df85388de38df1a57ddf82bf2e74516127118f0",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-01-21T15:14:07Z",
    "title_canon_sha256": "d3fd066bccff142e9ac349ed0ff0af50c24ee483db93c24ca385c32facd0cf5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06954",
    "kind": "arxiv",
    "version": 1
  }
}