Pith Number

pith:ENYNUZTN

pith:2013:ENYNUZTNWDROSRWFO3OX2GOCFY

not attested not anchored not stored refs pending

Two permutation classes enumerated by the central binomial coefficients

Flavio Bonetti, Marilena Barnabei, Matteo Silimbani

arxiv:1301.1790 v1 · 2013-01-09 · 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{ENYNUZTNWDROSRWFO3OX2GOCFY}

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	2026-05-18T03:36:55.937096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2370da666db0e2e946c576dd7d19c22e1bf336df1de9b3aa6bb75bb547352c47

Aliases

arxiv: 1301.1790 · arxiv_version: 1301.1790v1 · doi: 10.48550/arxiv.1301.1790 · pith_short_12: ENYNUZTNWDRO · pith_short_16: ENYNUZTNWDROSRWF · pith_short_8: ENYNUZTN

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/ENYNUZTNWDROSRWFO3OX2GOCFY \
  | 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: 2370da666db0e2e946c576dd7d19c22e1bf336df1de9b3aa6bb75bb547352c47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeff499ece795a8f96f5b98b1e7dafc436f003d2a678ebda35aac3bbf83d6892",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-09T09:39:13Z",
    "title_canon_sha256": "596fcdf4b12750e32251ebf8311ffc720fd3b345925ba0990423a1c64c381946"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1790",
    "kind": "arxiv",
    "version": 1
  }
}