Pith Number

pith:VL2SN2DW

pith:2023:VL2SN2DWUD52DJ3C6X3Y2WAUTX

not attested not anchored not stored refs pending

Moments of Colored Permutation Statistics on Conjugacy Classes

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

arxiv:2305.11800 v4 · 2023-05-19 · 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{VL2SN2DWUD52DJ3C6X3Y2WAUTX}

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.

Receipt and verification

First computed	2026-07-05T12:05:57.252907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaf526e876a0fba1a762f5f78d58149df76af02bb77cb5d1ea666f4c6f1cf5c6

Aliases

arxiv: 2305.11800 · arxiv_version: 2305.11800v4 · doi: 10.48550/arxiv.2305.11800 · pith_short_12: VL2SN2DWUD52 · pith_short_16: VL2SN2DWUD52DJ3C · pith_short_8: VL2SN2DW

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/VL2SN2DWUD52DJ3C6X3Y2WAUTX \
  | 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: aaf526e876a0fba1a762f5f78d58149df76af02bb77cb5d1ea666f4c6f1cf5c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19e4026253c61ce03e9939b9a487e2c26e4e251d38f7f8ea569c043f75eb0305",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-05-19T16:35:31Z",
    "title_canon_sha256": "9a4efb7dd3a50f97975f11d655764e8759d922e406995902c77a2cbe18e97b08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.11800",
    "kind": "arxiv",
    "version": 4
  }
}