Pith Number

pith:24GEVJJG

pith:2019:24GEVJJG5BVZEWRAAN6LRPREOK

not attested not anchored not stored refs pending

Wilf's conjecture in fixed multiplicity

Christopher O'Neill, Dane Wilburne, Pedro Garcia-Sanchez, Winfried Bruns

arxiv:1903.04342 v2 · 2019-03-11 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{24GEVJJG5BVZEWRAAN6LRPREOK}

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	2026-05-17T23:40:03.743704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d70c4aa526e86b925a20037cb8be2472b864d88ad2a81ed703501cc60cee23bc

Aliases

arxiv: 1903.04342 · arxiv_version: 1903.04342v2 · doi: 10.48550/arxiv.1903.04342 · pith_short_12: 24GEVJJG5BVZ · pith_short_16: 24GEVJJG5BVZEWRA · pith_short_8: 24GEVJJG

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/24GEVJJG5BVZEWRAAN6LRPREOK \
  | 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: d70c4aa526e86b925a20037cb8be2472b864d88ad2a81ed703501cc60cee23bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4149f688a8c8e530d4f7cb62b28777c929af9fe276205d84c8f6d79e4b55bf2e",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-11T14:57:52Z",
    "title_canon_sha256": "8a939871c00e6bb6aef6de404758d24d5e282e279f2161c47dc83d83de27819d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.04342",
    "kind": "arxiv",
    "version": 2
  }
}