Pith Number

pith:ZWUFE4RJ

pith:2012:ZWUFE4RJ5F7SBOEFTA5LSM2YAF

not attested not anchored not stored refs pending

An arithmetic proof of John's ellipsoid theorem

Franz E. Schuster, Peter M. Gruber

arxiv:1207.7246 v1 · 2012-07-31 · math.MG · math.DG · math.FA

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

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	2026-05-18T03:49:46.409071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cda8527229e97f20b885983ab933580146ca825714ab135fe235c1b830fab881

Aliases

arxiv: 1207.7246 · arxiv_version: 1207.7246v1 · doi: 10.48550/arxiv.1207.7246 · pith_short_12: ZWUFE4RJ5F7S · pith_short_16: ZWUFE4RJ5F7SBOEF · pith_short_8: ZWUFE4RJ

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/ZWUFE4RJ5F7SBOEFTA5LSM2YAF \
  | 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: cda8527229e97f20b885983ab933580146ca825714ab135fe235c1b830fab881

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94822ecf1add6a9c46c7ef301228d2d8e839ed23bf0f5f4785a2efd4a7b5ce8d",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-07-31T13:52:13Z",
    "title_canon_sha256": "b868e7d8529d1e1df39c581a96689aab2ea4ef2db3a6d544c59c7307810d8b37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7246",
    "kind": "arxiv",
    "version": 1
  }
}