Pith Number

pith:CMXTRXTQ

pith:2005:CMXTRXTQCBD6Q75UBIGSHIJYWB

not attested not anchored not stored refs pending

A Combinatorial Interpretation for the coefficients in the Kronecker Product $s_{(n-p,p)}\ast s_{\lambda}$ (Multiplicities in the Kronecker Product $s_{(n-p,p)}\ast s_{\lambda}$)

Cristina M. Ballantine, Rosa C. Orellana

arxiv:math/0507544 v2 · 2005-07-26 · 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{CMXTRXTQCBD6Q75UBIGSHIJYWB}

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	2026-05-18T03:35:52.248678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

132f38de701047e87fb40a0d23a138b0746a578c3dee8919d6e1203f5422afd6

Aliases

arxiv: math/0507544 · arxiv_version: math/0507544v2 · doi: 10.48550/arxiv.math/0507544 · pith_short_12: CMXTRXTQCBD6 · pith_short_16: CMXTRXTQCBD6Q75U · pith_short_8: CMXTRXTQ

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/CMXTRXTQCBD6Q75UBIGSHIJYWB \
  | 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: 132f38de701047e87fb40a0d23a138b0746a578c3dee8919d6e1203f5422afd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fda017a3100015fb15db0bb7070d8fbf5ee276187ca45b459829316b110417d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2005-07-26T17:16:56Z",
    "title_canon_sha256": "a2c5dfe44517f7108ca0e490a9d111740ce3b1ebae36141aaa36c63b3c119d05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507544",
    "kind": "arxiv",
    "version": 2
  }
}