Pith Number

pith:UN5ZPN2B

pith:2012:UN5ZPN2BEIA7GJCOCQ7557NA34

not attested not anchored not stored refs pending

A positive mass theorem in the Einstein-Gauss-Bonnet theory

Guofang Wang, Jie Wu, Yuxin Ge

arxiv:1211.7305 v2 · 2012-11-30 · 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{UN5ZPN2BEIA7GJCOCQ7557NA34}

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	2026-05-18T03:27:03.225201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a37b97b7412201f3244e143fdefda0df36e55ee127dcdfd5e8973b28a764e4aa

Aliases

arxiv: 1211.7305 · arxiv_version: 1211.7305v2 · doi: 10.48550/arxiv.1211.7305 · pith_short_12: UN5ZPN2BEIA7 · pith_short_16: UN5ZPN2BEIA7GJCO · pith_short_8: UN5ZPN2B

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/UN5ZPN2BEIA7GJCOCQ7557NA34 \
  | 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: a37b97b7412201f3244e143fdefda0df36e55ee127dcdfd5e8973b28a764e4aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e477903996030d690a57d1a7e74d4460dc458ae7e5bc9c4be3c11c627c174728",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-30T16:34:57Z",
    "title_canon_sha256": "b4c0623fc87fd64efc761f56e2f433be239b2f01040f8b899a4bde14dbd1be10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7305",
    "kind": "arxiv",
    "version": 2
  }
}