Pith Number

pith:3E2JC5QR

pith:2014:3E2JC5QRYNFKCZG3RM2VWGDFPI

not attested not anchored not stored refs pending

Irreducible characters of the symmetric group and exponential growth

Antonio Giambruno, Sergey Mishchenko

arxiv:1406.1653 v1 · 2014-06-06 · math.CO · 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{3E2JC5QRYNFKCZG3RM2VWGDFPI}

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	2026-05-18T02:50:14.273876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d934917611c34aa164db8b355b18657a241ff128ad5e5dff99b160f06342c84c

Aliases

arxiv: 1406.1653 · arxiv_version: 1406.1653v1 · doi: 10.48550/arxiv.1406.1653 · pith_short_12: 3E2JC5QRYNFK · pith_short_16: 3E2JC5QRYNFKCZG3 · pith_short_8: 3E2JC5QR

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/3E2JC5QRYNFKCZG3RM2VWGDFPI \
  | 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: d934917611c34aa164db8b355b18657a241ff128ad5e5dff99b160f06342c84c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "221cb66e30d8327579342c9ee124f4b450b053113f953bb7cb0245eeba364638",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-06T11:48:27Z",
    "title_canon_sha256": "419c439014bac0ef0aee3e2e66814e4fa7bac7611c2e4e101098216fda358092"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1653",
    "kind": "arxiv",
    "version": 1
  }
}