Pith Number

pith:Z7HO4JRH

pith:2018:Z7HO4JRH33VBYQLAEHKH3PF6O7

not attested not anchored not stored refs pending

Counting inversions and descents of random elements in finite Coxeter groups

Christian Stump, Thomas Kahle

arxiv:1802.01389 v4 · 2018-02-05 · 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{Z7HO4JRH33VBYQLAEHKH3PF6O7}

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.

Cited by

1 paper in Pith

A central limit theorem for the two-sided descent statistic on Coxeter groups

Receipt and verification

First computed	2026-07-04T23:59:04.299652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfceee2627deea1c416021d47dbcbe77cce7b8943878ae10b3a7547351ff2916

Aliases

arxiv: 1802.01389 · arxiv_version: 1802.01389v4 · doi: 10.48550/arxiv.1802.01389 · pith_short_12: Z7HO4JRH33VB · pith_short_16: Z7HO4JRH33VBYQLA · pith_short_8: Z7HO4JRH

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/Z7HO4JRH33VBYQLAEHKH3PF6O7 \
  | 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: cfceee2627deea1c416021d47dbcbe77cce7b8943878ae10b3a7547351ff2916

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8b42b6dd26492be6e645a9c75f76ecaeb81b17e7b462835f762c27eaf1f5b36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-05T13:52:54Z",
    "title_canon_sha256": "59a1a27149a2c8c7b6af072afd77cdbca775f07e275d2dc8ff82a1e18d341a35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01389",
    "kind": "arxiv",
    "version": 4
  }
}