Pith Number

pith:5VXAWFCU

pith:2012:5VXAWFCUZU7XZDB3JMQVUCMYHI

not attested not anchored not stored refs pending

"Frobenius twists" in the representation theory of the symmetric group

David J. Hemmer

arxiv:1204.1045 v1 · 2012-04-04 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VXAWFCUZU7XZDB3JMQVUCMYHI}

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	2026-05-18T03:58:37.201831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed6e0b1454cd3f7c8c3b4b215a09983a2db96def94e9f09fe7ebdac768b6710f

Aliases

arxiv: 1204.1045 · arxiv_version: 1204.1045v1 · doi: 10.48550/arxiv.1204.1045 · pith_short_12: 5VXAWFCUZU7X · pith_short_16: 5VXAWFCUZU7XZDB3 · pith_short_8: 5VXAWFCU

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/5VXAWFCUZU7XZDB3JMQVUCMYHI \
  | 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: ed6e0b1454cd3f7c8c3b4b215a09983a2db96def94e9f09fe7ebdac768b6710f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41b9c00dc592a96420833733b438b707c78ec2bfdaf5ac9c6136820c601129e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-04-04T19:43:50Z",
    "title_canon_sha256": "d6e6be76eadd1a0c2af482b73e5ca8abbe8fc4cf40acf726761a3d1fa34b7c09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1045",
    "kind": "arxiv",
    "version": 1
  }
}