Pith Number

pith:7C5AP3WN

pith:2026:7C5AP3WN3ACAOZHFN7M352FRRN

not attested not anchored not stored refs pending

A Minkowski Theory for the Exterior Capacitary Volumes and A Resolution of the P\'olya-Szeg\"o Conjecture

Baocheng Zhu, Jie Xiao, Ning Zhang, Qiushuang Liu, Rubin Zhang

arxiv:2607.02273 v1 · 2026-07-02 · math.MG · 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{7C5AP3WN3ACAOZHFN7M352FRRN}

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	2026-07-03T01:17:47.200747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ba07eecdd8040764e56fd9bee8b18b45aa280e4e18311dd3ead1e4a1f7c464

Aliases

arxiv: 2607.02273 · arxiv_version: 2607.02273v1 · doi: 10.48550/arxiv.2607.02273 · pith_short_12: 7C5AP3WN3ACA · pith_short_16: 7C5AP3WN3ACAOZHF · pith_short_8: 7C5AP3WN

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/7C5AP3WN3ACAOZHFN7M352FRRN \
  | 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: f8ba07eecdd8040764e56fd9bee8b18b45aa280e4e18311dd3ead1e4a1f7c464

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44cb60aafcdc82a97f6791a59d5624ed9fd5a30456904edfdb9e04da277aea80",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-07-02T14:56:31Z",
    "title_canon_sha256": "da479e83fc05812a558225b6aa8f01a164ec9f6b64db255eac02181ffa7c5c80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02273",
    "kind": "arxiv",
    "version": 1
  }
}