Pith Number

pith:KKCZEUB2

pith:2013:KKCZEUB2PPVGRID3DYWZXRXAHU

not attested not anchored not stored refs pending

A Wintgen type inequality for surfaces in 4D neutral pseudo-Riemannian space forms and its applications to minimal immersions

Bang-Yen Chen

arxiv:1307.3172 v1 · 2013-07-11 · 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{KKCZEUB2PPVGRID3DYWZXRXAHU}

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	2026-05-18T03:18:40.962216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

528592503a7bea68a07b1e2d9bc6e03d15d886fea526e996d2860a3ad4683177

Aliases

arxiv: 1307.3172 · arxiv_version: 1307.3172v1 · doi: 10.48550/arxiv.1307.3172 · pith_short_12: KKCZEUB2PPVG · pith_short_16: KKCZEUB2PPVGRID3 · pith_short_8: KKCZEUB2

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/KKCZEUB2PPVGRID3DYWZXRXAHU \
  | 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: 528592503a7bea68a07b1e2d9bc6e03d15d886fea526e996d2860a3ad4683177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c6c58776f1eb992d77b9aee0b30283ae264197485679a7a5dd931e91e66e539",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-11T16:34:31Z",
    "title_canon_sha256": "19d171b2a10204367651d08cfc366e37a0b40c90ce22b817a2b9a5ae919ba76d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3172",
    "kind": "arxiv",
    "version": 1
  }
}