Pith Number

pith:WUWOXO4E

pith:2012:WUWOXO4EME5EPMDHTA5VOISC5Q

not attested not anchored not stored refs pending

Complete stationary surfaces in R^4_1 with total Gaussian curvature 6\pi

Xiang Ma

arxiv:1211.0657 v2 · 2012-11-04 · 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{WUWOXO4EME5EPMDHTA5VOISC5Q}

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	2026-05-18T02:59:06.414968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b52cebbb84613a47b067983b572242ec2f26f99bc51ddef9b8fcfc437e2d65e6

Aliases

arxiv: 1211.0657 · arxiv_version: 1211.0657v2 · doi: 10.48550/arxiv.1211.0657 · pith_short_12: WUWOXO4EME5E · pith_short_16: WUWOXO4EME5EPMDH · pith_short_8: WUWOXO4E

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/WUWOXO4EME5EPMDHTA5VOISC5Q \
  | 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: b52cebbb84613a47b067983b572242ec2f26f99bc51ddef9b8fcfc437e2d65e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ea5edea3bf184de7d5c01e3e004892b409b67a103e5b660c222eb59db6bbb04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-04T01:30:54Z",
    "title_canon_sha256": "cec0472a32e9a60294ed8b9fc0230984b13eeb38326319738121894c23778587"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0657",
    "kind": "arxiv",
    "version": 2
  }
}