Pith Number

pith:FKSKMJWE

pith:1997:FKSKMJWEA6HGNST5RDNJWUJBDB

not attested not anchored not stored refs pending

Kazhdan-Lusztig polynomials and canonical basis

Alexander Kirillov Jr, Igor Frenkel, Mikhail Khovanov

arxiv:q-alg/9709042 v1 · 1997-09-29 · q-alg · 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{FKSKMJWEA6HGNST5RDNJWUJBDB}

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

Big data approach to Kazhdan-Lusztig polynomials

Receipt and verification

First computed	2026-07-04T15:09:11.977313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aa4a626c4078e66ca7d88da9b5121187ee06d0c9367b3b6903cf677161cf051

Aliases

arxiv: q-alg/9709042 · arxiv_version: q-alg/9709042v1 · doi: 10.48550/arxiv.q-alg/9709042 · pith_short_12: FKSKMJWEA6HG · pith_short_16: FKSKMJWEA6HGNST5 · pith_short_8: FKSKMJWE

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/FKSKMJWEA6HGNST5RDNJWUJBDB \
  | 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: 2aa4a626c4078e66ca7d88da9b5121187ee06d0c9367b3b6903cf677161cf051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d571bab77d58a8b0cd325592546557119363f5797c40e5fbd8a1191b856f9299",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1997-09-29T17:29:34Z",
    "title_canon_sha256": "439fbb3f56d3b9d3e07db4aebff287ec97b5679413712be4715e49ddaef56b66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9709042",
    "kind": "arxiv",
    "version": 1
  }
}