Pith Number

pith:RUTLJG76

pith:2023:RUTLJG76KUJNZMH2BAW5PCXH3O

not attested not anchored not stored refs pending

Permutation Statistics in Conjugacy Classes of the Symmetric Group

Eric Nathan Stucky, Jesse Campion Loth, Kevin Liu, Mei Yin, Michael Levet, Sheila Sundaram

arxiv:2301.00898 v2 · 2023-01-02 · math.CO · 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{RUTLJG76KUJNZMH2BAW5PCXH3O}

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

On the statistics of random-to-top shuffles

Receipt and verification

First computed	2026-07-05T06:11:02.642623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d26b49bfe5512dcb0fa082dd78ae7db99546b5d2afd4a23890c99fa590034cb

Aliases

arxiv: 2301.00898 · arxiv_version: 2301.00898v2 · doi: 10.48550/arxiv.2301.00898 · pith_short_12: RUTLJG76KUJN · pith_short_16: RUTLJG76KUJNZMH2 · pith_short_8: RUTLJG76

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/RUTLJG76KUJNZMH2BAW5PCXH3O \
  | 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: 8d26b49bfe5512dcb0fa082dd78ae7db99546b5d2afd4a23890c99fa590034cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d175518bc428e7ab2ad981b91db400bf6a171d72a67298a6df54168f5f0068a2",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-01-02T23:07:48Z",
    "title_canon_sha256": "ac5b3ad6c950a9166a3468764f0644437d46cce0cafa93e7d09f299d45c39625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.00898",
    "kind": "arxiv",
    "version": 2
  }
}