Pith Number

pith:IWIRJCPN

pith:2011:IWIRJCPN2ANTD7Y2AVRHI3LGVM

not attested not anchored not stored refs pending

On (almost) extreme components in Kronecker products of characters of the symmetric groups

Christine Bessenrodt, Stephanie van Willigenburg

arxiv:1105.3170 v2 · 2011-05-16 · 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{IWIRJCPN2ANTD7Y2AVRHI3LGVM}

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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	2026-05-18T02:52:13.038381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45911489edd01b31ff1a0562746d66ab24da2a13a803f487b51dd249ac186ab1

Aliases

arxiv: 1105.3170 · arxiv_version: 1105.3170v2 · doi: 10.48550/arxiv.1105.3170 · pith_short_12: IWIRJCPN2ANT · pith_short_16: IWIRJCPN2ANTD7Y2 · pith_short_8: IWIRJCPN

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/IWIRJCPN2ANTD7Y2AVRHI3LGVM \
  | 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: 45911489edd01b31ff1a0562746d66ab24da2a13a803f487b51dd249ac186ab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "838a117848cab285d396e7141e389bab4c1906411b1b203afcd63fa656cc5b13",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-16T18:39:04Z",
    "title_canon_sha256": "1722184583ee99e0e133ddd08e67362c3afc40fa61e04e78703057f25c154f0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3170",
    "kind": "arxiv",
    "version": 2
  }
}