Pith Number

pith:R2OWRJZ2

pith:2010:R2OWRJZ2IBVASC3WFJA7RLQK5E

not attested not anchored not stored refs pending

Deformed Kazhdan-Lusztig elements and Macdonald polynomials

Alain Lascoux, Jan de Gier, Mark Sorrell

arxiv:1007.0861 v2 · 2010-07-06 · math.CO · math-ph · math.MP · 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{R2OWRJZ2IBVASC3WFJA7RLQK5E}

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	2026-05-18T04:14:05.961066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e9d68a73a406a090b762a41f8ae0ae924c07c36c65fd5efa642d8d992432cf5

Aliases

arxiv: 1007.0861 · arxiv_version: 1007.0861v2 · doi: 10.48550/arxiv.1007.0861 · pith_short_12: R2OWRJZ2IBVA · pith_short_16: R2OWRJZ2IBVASC3W · pith_short_8: R2OWRJZ2

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/R2OWRJZ2IBVASC3WFJA7RLQK5E \
  | 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: 8e9d68a73a406a090b762a41f8ae0ae924c07c36c65fd5efa642d8d992432cf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a78fd3ce7a71f37995db1ca6bcacf5b873277b4080a86170cb873d143583601",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-07-06T11:03:53Z",
    "title_canon_sha256": "f14d1801531dceef3a887cf24d5a17956ffe4dd02bd1b102ff9efc685979aabd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0861",
    "kind": "arxiv",
    "version": 2
  }
}