Pith Number

pith:A7J2UAT5

pith:2012:A7J2UAT5XNNZROOJGKKM574EHC

not attested not anchored not stored refs pending

A new mass for asymptotically flat manifolds

Guofang Wang, Jie Wu, Yuxin Ge

arxiv:1211.3645 v2 · 2012-11-15 · 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{A7J2UAT5XNNZROOJGKKM574EHC}

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	2026-05-18T03:27:01.368051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07d3aa027dbb5b98b9c93294ceff8438abd1cd147c3a8e8102c9356d5d5a1491

Aliases

arxiv: 1211.3645 · arxiv_version: 1211.3645v2 · doi: 10.48550/arxiv.1211.3645 · pith_short_12: A7J2UAT5XNNZ · pith_short_16: A7J2UAT5XNNZROOJ · pith_short_8: A7J2UAT5

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/A7J2UAT5XNNZROOJGKKM574EHC \
  | 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: 07d3aa027dbb5b98b9c93294ceff8438abd1cd147c3a8e8102c9356d5d5a1491

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0e697d42a4a6510b18f9cf0bd7c811ad26f891760aa7d6ced4e0296d879efce",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-15T16:31:33Z",
    "title_canon_sha256": "d8ef1083bd44ee77bb8df7f44e5b3650cdc131147c0c381211cd3dc06db83f0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3645",
    "kind": "arxiv",
    "version": 2
  }
}