Pith Number

pith:BAVJE5DX

pith:2010:BAVJE5DXLJCIHDVHBNIJVVZYZT

not attested not anchored not stored refs pending

An interesting new Mahonian permutation statistic

Mark C. Wilson

arxiv:1007.3560 v1 · 2010-07-21 · 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{BAVJE5DXLJCIHDVHBNIJVVZYZT}

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	2026-05-18T04:02:50.527127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

082a9274775a44838ea70b509ad738ccf7f5d666141b6cf2007b3d24e82dcdab

Aliases

arxiv: 1007.3560 · arxiv_version: 1007.3560v1 · doi: 10.48550/arxiv.1007.3560 · pith_short_12: BAVJE5DXLJCI · pith_short_16: BAVJE5DXLJCIHDVH · pith_short_8: BAVJE5DX

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/BAVJE5DXLJCIHDVHBNIJVVZYZT \
  | 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: 082a9274775a44838ea70b509ad738ccf7f5d666141b6cf2007b3d24e82dcdab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00cdd19a76299721c4bf4f822baa39809178e8fde692239fc264309b62c320bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-07-21T04:56:49Z",
    "title_canon_sha256": "0c23b299ba43bdb631026197ace0baf861d75e6a5e97774483cf879226b3e85c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3560",
    "kind": "arxiv",
    "version": 1
  }
}