Pith Number

pith:E7KJDBCG

pith:2011:E7KJDBCGD6OZM5SLA6M3Y5YWUQ

not attested not anchored not stored refs pending

A remark concerning universal curvature identities on 4-dimensional Riemannian manifolds

Chohee Jeong, JeongHyeong Park, Yunhee Euh

arxiv:1109.4222 v1 · 2011-09-20 · 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{E7KJDBCGD6OZM5SLA6M3Y5YWUQ}

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	2026-05-18T04:12:43.902344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27d49184461f9d96764b0799bc7716a407b4377b8736c6d134db887e80518fb0

Aliases

arxiv: 1109.4222 · arxiv_version: 1109.4222v1 · doi: 10.48550/arxiv.1109.4222 · pith_short_12: E7KJDBCGD6OZ · pith_short_16: E7KJDBCGD6OZM5SL · pith_short_8: E7KJDBCG

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/E7KJDBCGD6OZM5SLA6M3Y5YWUQ \
  | 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: 27d49184461f9d96764b0799bc7716a407b4377b8736c6d134db887e80518fb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "346b594987db11e145e0dab7790867b91fc89eafde466803b08601df78465890",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-20T07:29:55Z",
    "title_canon_sha256": "b6265a17be4f54b5bd4b2ef41768b8b1d8981ccae6daeccfc2cf1224564ff8fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4222",
    "kind": "arxiv",
    "version": 1
  }
}