Pith Number

pith:YK2E4ZLV

pith:2006:YK2E4ZLVQ4AVAEYGCXJMWVUHP2

not attested not anchored not stored refs pending

Tabloids and Weighted Sums of Characters of Certain Modules of the Symmetric Groups

Yasuhide Numata

arxiv:math/0607337 v1 · 2006-07-14 · 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{YK2E4ZLVQ4AVAEYGCXJMWVUHP2}

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	2026-05-18T04:24:04.899087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2b44e6575870150130615d2cb56877e92a93813cca94c68fa714f13f0a0017c

Aliases

arxiv: math/0607337 · arxiv_version: math/0607337v1 · doi: 10.48550/arxiv.math/0607337 · pith_short_12: YK2E4ZLVQ4AV · pith_short_16: YK2E4ZLVQ4AVAEYG · pith_short_8: YK2E4ZLV

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/YK2E4ZLVQ4AVAEYGCXJMWVUHP2 \
  | 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: c2b44e6575870150130615d2cb56877e92a93813cca94c68fa714f13f0a0017c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d34a4c65218fce6f7833f5818e260bac06d93a47179a098d59c5e2cce333e7c4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-07-14T06:54:32Z",
    "title_canon_sha256": "32111ae4db99da3d697319524c529d1185d4bdcd6dce4d3631bda35ee1f5e693"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607337",
    "kind": "arxiv",
    "version": 1
  }
}