Pith Number

pith:H7QNCNZI

pith:2016:H7QNCNZICI4GIWFMBWA6PJUHQL

not attested not anchored not stored refs pending

Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups

Georgia Benkart, Nate Harman, Tom Halverson

arxiv:1605.06543 v2 · 2016-05-20 · 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{H7QNCNZICI4GIWFMBWA6PJUHQL}

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	2026-05-18T01:13:10.878815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fe0d1372812386458ac0d81e7a68782ca41ea8b0a089cab25820d78dbe5145e

Aliases

arxiv: 1605.06543 · arxiv_version: 1605.06543v2 · doi: 10.48550/arxiv.1605.06543 · pith_short_12: H7QNCNZICI4G · pith_short_16: H7QNCNZICI4GIWFM · pith_short_8: H7QNCNZI

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/H7QNCNZICI4GIWFMBWA6PJUHQL \
  | 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: 3fe0d1372812386458ac0d81e7a68782ca41ea8b0a089cab25820d78dbe5145e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ed4228092aa9848f12a9687892292e27dd4194d01e71bca51ed0779359e2504",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-05-20T21:35:48Z",
    "title_canon_sha256": "4bec9a61a12599c28893fc28bbfd1a96cf5c68bcd78f54bedacd64f0cdcb1480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06543",
    "kind": "arxiv",
    "version": 2
  }
}