Pith Number

pith:UMFL7KVX

pith:2013:UMFL7KVXKCNDX7HZX3M3K426G4

not attested not anchored not stored refs pending

Remarks on Wilmshurst's theorem

Antonio Lerario, Erik Lundberg, Seung-Yeop Lee

arxiv:1308.6474 v1 · 2013-08-29 · math.CV · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMFL7KVXKCNDX7HZX3M3K426G4}

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	2026-05-18T03:14:39.774775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a30abfaab7509a3bfcf9bed9b5735e372aa30270b6bfc49de51792f25c133ac2

Aliases

arxiv: 1308.6474 · arxiv_version: 1308.6474v1 · doi: 10.48550/arxiv.1308.6474 · pith_short_12: UMFL7KVXKCND · pith_short_16: UMFL7KVXKCNDX7HZ · pith_short_8: UMFL7KVX

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/UMFL7KVXKCNDX7HZX3M3K426G4 \
  | 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: a30abfaab7509a3bfcf9bed9b5735e372aa30270b6bfc49de51792f25c133ac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ade0920f6956e6d60a2729e5f198f838a5f8ed4dbb7cfac381f6d62ecf6bbbf9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-08-29T13:58:48Z",
    "title_canon_sha256": "1810fe3d869b484a3f466b8a323d78de563c55caacfd2c90b463ca52e64d072c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6474",
    "kind": "arxiv",
    "version": 1
  }
}