Pith Number

pith:QR64NTU2

pith:2025:QR64NTU27YLKLNMZHVOARHINTM

not attested not anchored not stored refs pending

Limit theorems for descents and inversions of shelf-shuffles

Alexander Clay

arxiv:2510.00343 v2 · 2025-09-30 · math.PR · 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{QR64NTU27YLKLNMZHVOARHINTM}

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

Analysis of the asymmetric shelf shuffle

Receipt and verification

First computed	2026-06-19T16:10:31.501353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

847dc6ce9afe16a5b5993d5c089d0d9b3c8ed2212acc1eda9e0189b5c4358157

Aliases

arxiv: 2510.00343 · arxiv_version: 2510.00343v2 · doi: 10.48550/arxiv.2510.00343 · pith_short_12: QR64NTU27YLK · pith_short_16: QR64NTU27YLKLNMZ · pith_short_8: QR64NTU2

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/QR64NTU27YLKLNMZHVOARHINTM \
  | 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: 847dc6ce9afe16a5b5993d5c089d0d9b3c8ed2212acc1eda9e0189b5c4358157

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68f8743c95a8433b30fc9995aa637acbf9a114c55fff5b06d7ecafe4653d6a28",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-09-30T23:06:17Z",
    "title_canon_sha256": "65517c8f0f56c7089ff3735e339b25ce8ec1adc447882e68029fdfd94f662e83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.00343",
    "kind": "arxiv",
    "version": 2
  }
}