Pith Number

pith:IQM5B7YX

pith:2011:IQM5B7YXPGTMV32IAEN4DCNOLE

not attested not anchored not stored refs pending

Hecke algebras and involutions in Weyl groups

David A. Vogan Jr, George Lusztig

arxiv:1109.4606 v3 · 2011-09-21 · 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{IQM5B7YXPGTMV32IAEN4DCNOLE}

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	2026-05-18T04:09:36.187101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4419d0ff1779a6caef48011bc189ae590bc6a57381f1ea85b0d3f268ec154a2d

Aliases

arxiv: 1109.4606 · arxiv_version: 1109.4606v3 · doi: 10.48550/arxiv.1109.4606 · pith_short_12: IQM5B7YXPGTM · pith_short_16: IQM5B7YXPGTMV32I · pith_short_8: IQM5B7YX

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/IQM5B7YXPGTMV32IAEN4DCNOLE \
  | 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: 4419d0ff1779a6caef48011bc189ae590bc6a57381f1ea85b0d3f268ec154a2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ca0f961fe3388a3ba5dcae3397e37228b2e2440b17a63016abe5a1737760626",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-09-21T18:26:47Z",
    "title_canon_sha256": "586ce3a8d5837514a49dc8e10e140b22ea33708d6e5be90fb6e75652c175a34c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4606",
    "kind": "arxiv",
    "version": 3
  }
}