Pith Number

pith:L2SJVLHK

pith:2022:L2SJVLHKRWIGGIOAWSIZQUALRJ

not attested not anchored not stored refs pending

The one-sided cycle shuffles in the symmetric group algebra

Darij Grinberg, Nadia Lafreni\`ere

arxiv:2212.06274 v4 · 2022-12-12 · math.CO · math.GR · math.PR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L2SJVLHKRWIGGIOAWSIZQUALRJ}

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

Top to random and reverse: analysis of a new descent algebra shuffle

Receipt and verification

First computed	2026-07-05T08:24:21.129440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ea49aacea8d906321c0b49198500b8a6ecaa3b15e72700c692a8a3b74fcab77

Aliases

arxiv: 2212.06274 · arxiv_version: 2212.06274v4 · doi: 10.48550/arxiv.2212.06274 · pith_short_12: L2SJVLHKRWIG · pith_short_16: L2SJVLHKRWIGGIOA · pith_short_8: L2SJVLHK

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/L2SJVLHKRWIGGIOAWSIZQUALRJ \
  | 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: 5ea49aacea8d906321c0b49198500b8a6ecaa3b15e72700c692a8a3b74fcab77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75918d4d2f44f18b6c233f30378ba355a918cd539637fbd5097ba484a9b7673b",
    "cross_cats_sorted": [
      "math.GR",
      "math.PR",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-12-12T22:50:40Z",
    "title_canon_sha256": "2a8e73b9bae68f47f0aaaaf2a040717033adc9505146703c3eae8b810e5fa239"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.06274",
    "kind": "arxiv",
    "version": 4
  }
}