Pith Number

pith:S4X5HIHV

pith:2017:S4X5HIHV654FCTJXRN5QXYSEQG

not attested not anchored not stored refs pending

Enumeration of small Wilf classes avoiding 1342 and two other $4$-letter patterns

David Callan, Toufik Mansour

arxiv:1708.00832 v1 · 2017-07-30 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4X5HIHV654FCTJXRN5QXYSEQG}

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	2026-05-18T00:38:44.529617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

972fd3a0f5f778514d378b7b0be24481bd042d9880b988474a40b2c095b2dfcc

Aliases

arxiv: 1708.00832 · arxiv_version: 1708.00832v1 · doi: 10.48550/arxiv.1708.00832 · pith_short_12: S4X5HIHV654F · pith_short_16: S4X5HIHV654FCTJX · pith_short_8: S4X5HIHV

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/S4X5HIHV654FCTJXRN5QXYSEQG \
  | 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: 972fd3a0f5f778514d378b7b0be24481bd042d9880b988474a40b2c095b2dfcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c8a7a8edc13a9de5212e65317baf9c921e2779eaf2681ae8aaf54b9b6f97f38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-30T12:14:19Z",
    "title_canon_sha256": "883637b907edb023af9f8c58370bc469ffcc71bf5ec2195f7fd0e13eb7ba8846"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00832",
    "kind": "arxiv",
    "version": 1
  }
}