Pith Number

pith:KETBFP3H

pith:2026:KETBFP3HBCN74B25M4WFBSZZSC

not attested not anchored not stored refs pending

Group Permanents of Abelian $p$-Groups and Young Diagrams

Naoya Yamaguchi, Yuka Yamaguchi

arxiv:2606.23765 v1 · 2026-06-22 · math.RT · 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{KETBFP3HBCN74B25M4WFBSZZSC}

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	2026-06-24T00:14:25.432439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

512612bf67089bfe075d672c50cb3990a2e80d9e2c204cd0c5e1c2b541e869eb

Aliases

arxiv: 2606.23765 · arxiv_version: 2606.23765v1 · doi: 10.48550/arxiv.2606.23765 · pith_short_12: KETBFP3HBCN7 · pith_short_16: KETBFP3HBCN74B25 · pith_short_8: KETBFP3H

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/KETBFP3HBCN74B25M4WFBSZZSC \
  | 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: 512612bf67089bfe075d672c50cb3990a2e80d9e2c204cd0c5e1c2b541e869eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efb208729074fc17a4f38525fbcbd6cea88d7cfe23c15a787b5e4ffa2962824a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-22T14:43:32Z",
    "title_canon_sha256": "7c62bb991fb5e31ede8dd554aee3638542fb27c9abed5b6f10bc7a0fa97a3e72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23765",
    "kind": "arxiv",
    "version": 1
  }
}