Pith Number

pith:PMC67G2S

pith:2025:PMC67G2SR3AZMS6HSHE2EX3OII

not attested not anchored not stored refs pending

Shuffling via sums of Jucys--Murphy Elements

Evita Nestoridi, Samira Arfaee

arxiv:2504.07918 v2 · 2025-04-10 · 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{PMC67G2SR3AZMS6HSHE2EX3OII}

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	2026-05-20T01:04:53.603443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b05ef9b528ec1964bc791c9a25f6e4220194129de465d4d45b27187d89894df

Aliases

arxiv: 2504.07918 · arxiv_version: 2504.07918v2 · doi: 10.48550/arxiv.2504.07918 · pith_short_12: PMC67G2SR3AZ · pith_short_16: PMC67G2SR3AZMS6H · pith_short_8: PMC67G2S

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/PMC67G2SR3AZMS6HSHE2EX3OII \
  | 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: 7b05ef9b528ec1964bc791c9a25f6e4220194129de465d4d45b27187d89894df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bee5aedc128b8452e17b6839fdbe52e706bb842ee1b2885e6c17175b666ccc3",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-10T17:33:30Z",
    "title_canon_sha256": "e49c148cb139bff7fa63bda9d1eb28541496b29487fbfc2c15905f3e81885f70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.07918",
    "kind": "arxiv",
    "version": 2
  }
}