Pith Number

pith:7JHZ475H

pith:2018:7JHZ475HBUPYMM6N2NQ3SQYNI3

not attested not anchored not stored refs pending

Asymptotics of a locally dependent statistic on finite reflection groups

Frank R\"ottger

arxiv:1812.00372 v2 · 2018-12-02 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JHZ475HBUPYMM6N2NQ3SQYNI3}

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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	2026-07-05T02:49:49.029454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa4f9e7fa70d1f8633cdd361b9430d46c0fd63c782eb5c5683315d5948d23f41

Aliases

arxiv: 1812.00372 · arxiv_version: 1812.00372v2 · doi: 10.48550/arxiv.1812.00372 · pith_short_12: 7JHZ475HBUPY · pith_short_16: 7JHZ475HBUPYMM6N · pith_short_8: 7JHZ475H

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/7JHZ475HBUPYMM6N2NQ3SQYNI3 \
  | 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: fa4f9e7fa70d1f8633cdd361b9430d46c0fd63c782eb5c5683315d5948d23f41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0937fdc29aca4f8c30df3ae512c789964a9413532ec8580be54faaa96a4822ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-02T11:35:17Z",
    "title_canon_sha256": "79b773b4a4b9a2a5d4fef38ee6168fefaf19df9f5d69aaf00ef1b9036fadfcc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.00372",
    "kind": "arxiv",
    "version": 2
  }
}