Pith Number

pith:C3X4JI4A

pith:2014:C3X4JI4AGGGIZAPH2QCDW6JUOL

not attested not anchored not stored refs pending

A product formula for certain Littlewood-Richardson coefficients for Jack and Macdonald polynomials

Yusra Naqvi

arxiv:1406.3391 v1 · 2014-06-13 · 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{C3X4JI4AGGGIZAPH2QCDW6JUOL}

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	2026-05-18T02:49:46.792101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16efc4a380318c8c81e7d4043b793472f708dcadba6dc6dc165b995fe6648597

Aliases

arxiv: 1406.3391 · arxiv_version: 1406.3391v1 · doi: 10.48550/arxiv.1406.3391 · pith_short_12: C3X4JI4AGGGI · pith_short_16: C3X4JI4AGGGIZAPH · pith_short_8: C3X4JI4A

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/C3X4JI4AGGGIZAPH2QCDW6JUOL \
  | 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: 16efc4a380318c8c81e7d4043b793472f708dcadba6dc6dc165b995fe6648597

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "679409294b6cc219a0ca1b82bab5f1688359f73991518a523b893c4906d8f009",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-13T00:09:04Z",
    "title_canon_sha256": "76452f5f1b15f2722628b3f2089f5a4ccb2fd973fe0b3606e60528c518bfd7a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3391",
    "kind": "arxiv",
    "version": 1
  }
}