Pith Number

pith:GCKUPMKZ

pith:2005:GCKUPMKZUFRTLWW7UTZYR3IAQN

not attested not anchored not stored refs pending

Combinatorial operators for Kronecker powers of representations of $\S_n$

Alain Goupil, Cedric Chauve

arxiv:math/0503307 v1 · 2005-03-15 · 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{GCKUPMKZUFRTLWW7UTZYR3IAQN}

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	2026-05-18T01:05:23.590546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

309547b159a16335dadfa4f388ed008357197e540b4025d417aa22ad42b4fa3a

Aliases

arxiv: math/0503307 · arxiv_version: math/0503307v1 · doi: 10.48550/arxiv.math/0503307 · pith_short_12: GCKUPMKZUFRT · pith_short_16: GCKUPMKZUFRTLWW7 · pith_short_8: GCKUPMKZ

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/GCKUPMKZUFRTLWW7UTZYR3IAQN \
  | 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: 309547b159a16335dadfa4f388ed008357197e540b4025d417aa22ad42b4fa3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "637e58dc77d8b3d1543df19f8b2da96bfcf12f008f5cb5bb763c4ec5dd1811c6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2005-03-15T16:53:48Z",
    "title_canon_sha256": "6ac32a7c2eb03cee262739ae7f90249dc9cae93af160d45137c25f1e4748c09f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503307",
    "kind": "arxiv",
    "version": 1
  }
}