Pith Number

pith:E5WIPZ7C

pith:2010:E5WIPZ7CDIDH2FFQOO2LYZU4AP

not attested not anchored not stored refs pending

Products of Geck-Rouquier conjugacy classes and the Hecke algebra of composed permutations

Pierre-Lo\"ic M\'eliot

arxiv:1009.4285 v1 · 2010-09-22 · 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{E5WIPZ7CDIDH2FFQOO2LYZU4AP}

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	2026-05-18T04:40:33.476907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

276c87e7e21a067d14b073b4bc669c03d538460c5a16dc85cc14bdc1ee5f6a6c

Aliases

arxiv: 1009.4285 · arxiv_version: 1009.4285v1 · doi: 10.48550/arxiv.1009.4285 · pith_short_12: E5WIPZ7CDIDH · pith_short_16: E5WIPZ7CDIDH2FFQ · pith_short_8: E5WIPZ7C

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/E5WIPZ7CDIDH2FFQOO2LYZU4AP \
  | 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: 276c87e7e21a067d14b073b4bc669c03d538460c5a16dc85cc14bdc1ee5f6a6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6a7613971f5b7739580b23e1a78d400852a5c8fd4f6c98c1940856b45f83b45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-09-22T08:08:30Z",
    "title_canon_sha256": "722d0fe69040af4d31156dde28d60b50535e1955dd07f32b7c83f0f0430e07a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4285",
    "kind": "arxiv",
    "version": 1
  }
}