Pith Number

pith:4L4T6KRE

pith:2012:4L4T6KREZY4CNT3KPPAND3ZJW3

not attested not anchored not stored refs pending

Complete stationary surfaces in $\mathbb{R}^4_1$ with total curvature $-\int K\mathrm{d}M=4\pi$

Peng Wang, Xiang Ma

arxiv:1210.8254 v1 · 2012-10-31 · math.DG · math.CV · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4L4T6KREZY4CNT3KPPAND3ZJW3}

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	2026-05-18T02:59:06.446482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f93f2a24ce3826cf6a7bc0d1ef29b6fa1a148df2421fe77451dd34b776e66e

Aliases

arxiv: 1210.8254 · arxiv_version: 1210.8254v1 · doi: 10.48550/arxiv.1210.8254 · pith_short_12: 4L4T6KREZY4C · pith_short_16: 4L4T6KREZY4CNT3K · pith_short_8: 4L4T6KRE

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/4L4T6KREZY4CNT3KPPAND3ZJW3 \
  | 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: e2f93f2a24ce3826cf6a7bc0d1ef29b6fa1a148df2421fe77451dd34b776e66e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dce1dbb9746fce3d9838698573393938c2badae04d566f72848b1ea2f6f0ed4d",
    "cross_cats_sorted": [
      "math.CV",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-31T07:51:53Z",
    "title_canon_sha256": "c8ec12503e0c7213652d5629b23a178d27236c99131d890c156b627f781900d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8254",
    "kind": "arxiv",
    "version": 1
  }
}