Pith Number

pith:NQNCNXH3

pith:2026:NQNCNXH3QR26ZXSGQUVEPKZ4ML

not attested not anchored not stored refs pending

On strengthened versions of Klee's convex body problem in Banach spaces

Chulei Liu, Lixin Cheng, Wuyi He, Zhizheng Yu

arxiv:2606.07370 v1 · 2026-06-05 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQNCNXH3QR26ZXSGQUVEPKZ4ML}

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	2026-06-08T01:05:23.036952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c1a26dcfb8475ecde46852a47ab3c62c015973dd4e2a5443911aff4aa6748e8

Aliases

arxiv: 2606.07370 · arxiv_version: 2606.07370v1 · doi: 10.48550/arxiv.2606.07370 · pith_short_12: NQNCNXH3QR26 · pith_short_16: NQNCNXH3QR26ZXSG · pith_short_8: NQNCNXH3

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/NQNCNXH3QR26ZXSGQUVEPKZ4ML \
  | 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: 6c1a26dcfb8475ecde46852a47ab3c62c015973dd4e2a5443911aff4aa6748e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a389053467059fb6d988e04dfd704dc3fb52df13cbe33a6c47bc314bd10916a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-05T15:12:54Z",
    "title_canon_sha256": "69fbda2d20beca83c0608196540196b6a17463e9f1d2c22d55ab2174cf529af6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07370",
    "kind": "arxiv",
    "version": 1
  }
}