Pith Number

pith:3GNA323X

pith:2014:3GNA323XSQLDKXU43OYQPNVFRE

not attested not anchored not stored refs pending

The m/n Pieri rule

Andrei Negu\c{t}

arxiv:1407.5303 v5 · 2014-07-20 · math.CO · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3GNA323XSQLDKXU43OYQPNVFRE}

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	2026-05-18T02:18:01.327474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d99a0deb779416355e9cdbb107b6a5892cae6ba0180182534998c1925ee26d29

Aliases

arxiv: 1407.5303 · arxiv_version: 1407.5303v5 · doi: 10.48550/arxiv.1407.5303 · pith_short_12: 3GNA323XSQLD · pith_short_16: 3GNA323XSQLDKXU4 · pith_short_8: 3GNA323X

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/3GNA323XSQLDKXU43OYQPNVFRE \
  | 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: d99a0deb779416355e9cdbb107b6a5892cae6ba0180182534998c1925ee26d29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa4cf266fe946c87d867f965aecf8c46b0a51b6c0f7051c89a26bf14ece1c654",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-20T15:41:53Z",
    "title_canon_sha256": "12b107db4233c60f29513ce56cb58237a0ac8270c4419b693fb6cac1c89a7b9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5303",
    "kind": "arxiv",
    "version": 5
  }
}