Pith Number

pith:P3BNFXOK

pith:2016:P3BNFXOKYIPY44NTYC7OKMMWOP

not attested not anchored not stored refs pending

Multiplicity-free Kronecker products of characters of the symmetric groups

Christine Bessenrodt, Christopher Bowman

arxiv:1609.03596 v1 · 2016-09-12 · 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{P3BNFXOKYIPY44NTYC7OKMMWOP}

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	2026-05-18T01:04:46.428109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ec2d2ddcac21f8e71b3c0bee5319673e4f7bc43854831d9618cf04c7712b412

Aliases

arxiv: 1609.03596 · arxiv_version: 1609.03596v1 · doi: 10.48550/arxiv.1609.03596 · pith_short_12: P3BNFXOKYIPY · pith_short_16: P3BNFXOKYIPY44NT · pith_short_8: P3BNFXOK

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/P3BNFXOKYIPY44NTYC7OKMMWOP \
  | 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: 7ec2d2ddcac21f8e71b3c0bee5319673e4f7bc43854831d9618cf04c7712b412

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99e723e0d671cb45e0f1d5c49bb0735e6a2753a8a0995bdee6ca25921de652a1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-09-12T20:39:54Z",
    "title_canon_sha256": "605445b43dd7a1103343a2c9fcab8980e24d33f8bc2c69d013a70eec65eed937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03596",
    "kind": "arxiv",
    "version": 1
  }
}