Pith Number

pith:5UXKWHMA

pith:2011:5UXKWHMALH5T7WUOAA7IO47OAT

not attested not anchored not stored refs pending

Diagonalization of the Matrices of the Multinomial Descent and Multinomial Inversion Statistics on the Symmetric Group

Hery Randriamaro

arxiv:1104.4099 v1 · 2011-04-20 · 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{5UXKWHMALH5T7WUOAA7IO47OAT}

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	2026-05-18T04:23:47.087521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed2eab1d8059fb3fda8e003e8773ee04d76535a41d64a282df296dccd08b09b3

Aliases

arxiv: 1104.4099 · arxiv_version: 1104.4099v1 · doi: 10.48550/arxiv.1104.4099 · pith_short_12: 5UXKWHMALH5T · pith_short_16: 5UXKWHMALH5T7WUO · pith_short_8: 5UXKWHMA

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/5UXKWHMALH5T7WUOAA7IO47OAT \
  | 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: ed2eab1d8059fb3fda8e003e8773ee04d76535a41d64a282df296dccd08b09b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa49af540e97f524e407b8d923cf60f2eb09da5042f79915c7ee62879b2bf943",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-20T19:05:23Z",
    "title_canon_sha256": "09d102b8b686cff8e45773c82d54ecb0813faf2d6c348b1e7b45670a1f110fab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4099",
    "kind": "arxiv",
    "version": 1
  }
}