Pith Number

pith:2LTGTNF3

pith:1994:2LTGTNF3ALLV7FE3EQR4QMKVLF

not attested not anchored not stored refs pending

Noncommutative symmetric functions

Alain Lascoux, B. Leclerc, D. Krob, Israel Gelfand, J.-Y. Thibon, V. S. Retakh

arxiv:hep-th/9407124 v1 · 1994-07-20 · hep-th · 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{2LTGTNF3ALLV7FE3EQR4QMKVLF}

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.

Cited by

1 paper in Pith

Unitary matrix models, quantized symmetric functions and spin chain

Receipt and verification

First computed	2026-07-04T15:08:53.069882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2e669b4bb02d75f949b2423c83155597a37003a4d1fad02c73fd4357645aa88

Aliases

arxiv: hep-th/9407124 · arxiv_version: hep-th/9407124v1 · doi: 10.48550/arxiv.hep-th/9407124 · pith_short_12: 2LTGTNF3ALLV · pith_short_16: 2LTGTNF3ALLV7FE3 · pith_short_8: 2LTGTNF3

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/2LTGTNF3ALLV7FE3EQR4QMKVLF \
  | 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: d2e669b4bb02d75f949b2423c83155597a37003a4d1fad02c73fd4357645aa88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce40e870211bb018c74cb32b18d2f06d3b8c082d9c8ffdda1da8270053bb0ea7",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1994-07-20T10:45:23Z",
    "title_canon_sha256": "e73215278eeafa3fd7d5cea7b08632767f312b6ac908b009a2f9dd7bddea8b9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9407124",
    "kind": "arxiv",
    "version": 1
  }
}