Pith Number

pith:WHFKZ6KQ

pith:2012:WHFKZ6KQDCGANQUXEBJJTPQH3L

not attested not anchored not stored refs pending

Perimeter under multiple Steiner symmetrizations

Almut Burchard, Gregory R. Chambers

arxiv:1209.4521 v1 · 2012-09-20 · 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{WHFKZ6KQDCGANQUXEBJJTPQH3L}

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	2026-05-18T01:29:22.150504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1caacf950188c06c297205299be07daf5b78cd4a8090836e8da179dc1474b8b

Aliases

arxiv: 1209.4521 · arxiv_version: 1209.4521v1 · doi: 10.48550/arxiv.1209.4521 · pith_short_12: WHFKZ6KQDCGA · pith_short_16: WHFKZ6KQDCGANQUX · pith_short_8: WHFKZ6KQ

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/WHFKZ6KQDCGANQUXEBJJTPQH3L \
  | 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: b1caacf950188c06c297205299be07daf5b78cd4a8090836e8da179dc1474b8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7d300f5cda02ce546d42e8b551fbcc15bfa18d2d80c6d7fbdcc4f7e13c68f4f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-09-20T13:15:30Z",
    "title_canon_sha256": "0368abb641b2606f7eb3d40f3edc898dca7f5ed2a05c4c2ad12c4b95c488b996"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4521",
    "kind": "arxiv",
    "version": 1
  }
}