Pith Number

pith:J2WJQVWL

pith:2012:J2WJQVWLCM53M7JVSUWVPMECJO

not attested not anchored not stored refs pending

On Einstein square metrics

Changtao Yu, Zhongmin Shen

arxiv:1209.3876 v1 · 2012-09-18 · 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{J2WJQVWLCM53M7JVSUWVPMECJO}

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	2026-05-18T03:45:22.318205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eac9856cb133bb67d35952d57b0824b8cdf49071b2d9ba66b24fb358609c288

Aliases

arxiv: 1209.3876 · arxiv_version: 1209.3876v1 · doi: 10.48550/arxiv.1209.3876 · pith_short_12: J2WJQVWLCM53 · pith_short_16: J2WJQVWLCM53M7JV · pith_short_8: J2WJQVWL

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/J2WJQVWLCM53M7JVSUWVPMECJO \
  | 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: 4eac9856cb133bb67d35952d57b0824b8cdf49071b2d9ba66b24fb358609c288

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35757e9201765a4b30c18f4e7c9a5b5a9a555536567b91acb2c45e8a238ff806",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-18T08:59:31Z",
    "title_canon_sha256": "a7b094fdce45d58741c90c080629605b39fd4f2add07ff8a147d30a7c39277a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3876",
    "kind": "arxiv",
    "version": 1
  }
}