Pith Number

pith:ZIHG3LAZ

pith:2013:ZIHG3LAZP2PWA232VECW5XFBIP

not attested not anchored not stored refs pending

Indecomposable modules for the dual immaculate basis of quasi-symmetric functions

Chris Berg, Franco Saliola, Luis Serrano, Mike Zabrocki, Nantel Bergeron

arxiv:1304.1224 v1 · 2013-04-04 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZIHG3LAZP2PWA232VECW5XFBIP}

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	2026-05-18T01:00:10.607025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca0e6dac197e9f606b7aa9056edca143f5c934b6f66b42b99d14b139a77ab583

Aliases

arxiv: 1304.1224 · arxiv_version: 1304.1224v1 · doi: 10.48550/arxiv.1304.1224 · pith_short_12: ZIHG3LAZP2PW · pith_short_16: ZIHG3LAZP2PWA232 · pith_short_8: ZIHG3LAZ

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/ZIHG3LAZP2PWA232VECW5XFBIP \
  | 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: ca0e6dac197e9f606b7aa9056edca143f5c934b6f66b42b99d14b139a77ab583

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15799e154a0a136a837ba0c31d806d224115871c0fc5acf128a685e64ae8fbc9",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-04T01:58:54Z",
    "title_canon_sha256": "94bdbfb2c5a2f436fddd44b67f7013dc4e2826b7507e6f3d9e3a5c122e22b044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1224",
    "kind": "arxiv",
    "version": 1
  }
}