Pith Number

pith:5347QOGU

pith:2010:5347QOGUHJW3DMDLOR7GGU42EM

not attested not anchored not stored refs pending

One-skeleton galleries, the path model and a generalization of Macdonald's formula for Hall-Littlewood polynomials

Peter Littelmann, St\'ephane Gaussent (IECN)

arxiv:1004.0066 v2 · 2010-04-01 · 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{5347QOGUHJW3DMDLOR7GGU42EM}

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	2026-05-18T04:24:53.145615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eef9f838d43a6db1b06b747e63539a2300541f569b9ce814431bd77180865a56

Aliases

arxiv: 1004.0066 · arxiv_version: 1004.0066v2 · doi: 10.48550/arxiv.1004.0066 · pith_short_12: 5347QOGUHJW3 · pith_short_16: 5347QOGUHJW3DMDL · pith_short_8: 5347QOGU

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/5347QOGUHJW3DMDLOR7GGU42EM \
  | 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: eef9f838d43a6db1b06b747e63539a2300541f569b9ce814431bd77180865a56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91412f62bda200b0056d61421b77bd6af2dad6eaa6006a9bd2b9baecb7300197",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-04-01T07:01:54Z",
    "title_canon_sha256": "9985c216d1d4b9a49de02bc6a941bf06382cf4fc659d2b2d52f18dcbff510508"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0066",
    "kind": "arxiv",
    "version": 2
  }
}