Pith Number

pith:MT4NO7J5

pith:2009:MT4NO7J5L45ETHYUBVDMBM4KM6

not attested not anchored not stored refs pending

A stability property for coefficients in Kronecker products of complex S_n characters

Ernesto Vallejo

arxiv:0905.0218 v1 · 2009-05-04 · 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{MT4NO7J5L45ETHYUBVDMBM4KM6}

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	2026-05-18T02:09:52.782697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64f8d77d3d5f3a499f140d46c0b38a67b5fc14b6bb167dff502ca09382b9cd59

Aliases

arxiv: 0905.0218 · arxiv_version: 0905.0218v1 · doi: 10.48550/arxiv.0905.0218 · pith_short_12: MT4NO7J5L45E · pith_short_16: MT4NO7J5L45ETHYU · pith_short_8: MT4NO7J5

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/MT4NO7J5L45ETHYUBVDMBM4KM6 \
  | 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: 64f8d77d3d5f3a499f140d46c0b38a67b5fc14b6bb167dff502ca09382b9cd59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13aba32e7c63cb28bf8c8b1e5e93d757345a8c306cfa887928e0cd79ba772486",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-05-04T19:34:43Z",
    "title_canon_sha256": "3a441f7ed8dfaf30181f3a9ab336d2ff688223f32070fe2b771d3e9ad5693bf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0218",
    "kind": "arxiv",
    "version": 1
  }
}