Pith Number

pith:PVXAPPUH

pith:2004:PVXAPPUH7CBFPT3C67UDMYGYKU

not attested not anchored not stored refs pending

On the Kazhdan-Lusztig basis of a spherical Hecke algebra

Friedrich Knop

arxiv:math/0403066 v2 · 2004-03-03 · math.RT · 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{PVXAPPUH7CBFPT3C67UDMYGYKU}

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

Growth in affine Hecke categories

Receipt and verification

First computed	2026-07-04T14:49:01.319841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d6e07be87f88257cf62f7e83660d8553ac09ad5dcaa91d7b74a0da54177824f

Aliases

arxiv: math/0403066 · arxiv_version: math/0403066v2 · doi: 10.48550/arxiv.math/0403066 · pith_short_12: PVXAPPUH7CBF · pith_short_16: PVXAPPUH7CBFPT3C · pith_short_8: PVXAPPUH

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/PVXAPPUH7CBFPT3C67UDMYGYKU \
  | 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: 7d6e07be87f88257cf62f7e83660d8553ac09ad5dcaa91d7b74a0da54177824f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da1ca16033259a7d9f772666bfa6631853be0f2f96a345d9f2787e72fe32c221",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2004-03-03T11:10:02Z",
    "title_canon_sha256": "eee5796c694e49027d5c135a05715a2b5ff9a0c2e889435e04e9f58ac8de8ac1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0403066",
    "kind": "arxiv",
    "version": 2
  }
}