Pith Number

pith:Y5WKM5IX

pith:2010:Y5WKM5IXMAL5AN67U5KG3EAOK2

not attested not anchored not stored refs pending

Equivalence classes for the mu-coefficient of Kazhdan-Lusztig polynomials in S_n

Gregory S. Warrington

arxiv:1010.3961 v1 · 2010-10-19 · math.CO · math.RT

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\usepackage{pith}
\pithnumber{Y5WKM5IXMAL5AN67U5KG3EAOK2}

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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	2026-05-18T04:39:07.155687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c76ca675176017d037dfa7546d900e56a9ae8986f734ab8f1c9be39589da7162

Aliases

arxiv: 1010.3961 · arxiv_version: 1010.3961v1 · doi: 10.48550/arxiv.1010.3961 · pith_short_12: Y5WKM5IXMAL5 · pith_short_16: Y5WKM5IXMAL5AN67 · pith_short_8: Y5WKM5IX

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/Y5WKM5IXMAL5AN67U5KG3EAOK2 \
  | 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: c76ca675176017d037dfa7546d900e56a9ae8986f734ab8f1c9be39589da7162

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12d87c115315919ab9d971495b561f521b43e5fb129eef22dd42445a6351da3e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-19T15:46:16Z",
    "title_canon_sha256": "b3922ce733f961b9a1399eaefc2fff834c527ab421d780423a3c019a1839e7dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3961",
    "kind": "arxiv",
    "version": 1
  }
}