Pith Number

pith:L6N2VLZP

pith:2013:L6N2VLZPQODV6ZU2MZMAABZRDK

not attested not anchored not stored refs pending

Using functional equations to enumerate 1324-avoiding permutations

Brian Nakamura, Fredrik Johansson

arxiv:1309.7117 v1 · 2013-09-27 · 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{L6N2VLZPQODV6ZU2MZMAABZRDK}

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	2026-05-18T03:12:00.197892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f9baaaf2f83875f669a66580007311a8e2319068003263d01b72fe6a3276b47

Aliases

arxiv: 1309.7117 · arxiv_version: 1309.7117v1 · doi: 10.48550/arxiv.1309.7117 · pith_short_12: L6N2VLZPQODV · pith_short_16: L6N2VLZPQODV6ZU2 · pith_short_8: L6N2VLZP

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/L6N2VLZPQODV6ZU2MZMAABZRDK \
  | 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: 5f9baaaf2f83875f669a66580007311a8e2319068003263d01b72fe6a3276b47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb2f2526b421ee4ea2697475da59f5ad0f2ed281505473e817a58edc3788b5c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-27T05:28:43Z",
    "title_canon_sha256": "e0e91481eba1531a90018590316b4297b3084e9623745e701080dc4360e01824"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7117",
    "kind": "arxiv",
    "version": 1
  }
}