Pith Number

pith:4B6MOI3O

pith:2011:4B6MOI3OFK2KFPSEBCYFLJ7AWR

not attested not anchored not stored refs pending

Multivariate Diagonal Coinvariant Spaces for Complex Reflection Groups

Francois Bergeron

arxiv:1105.4358 v4 · 2011-05-22 · math.CO · 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{4B6MOI3OFK2KFPSEBCYFLJ7AWR}

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	2026-05-18T04:09:45.732689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e07cc7236e2ab4a2be4408b055a7e0b46b65f98449b18fba7ce1e4c7219b781f

Aliases

arxiv: 1105.4358 · arxiv_version: 1105.4358v4 · doi: 10.48550/arxiv.1105.4358 · pith_short_12: 4B6MOI3OFK2K · pith_short_16: 4B6MOI3OFK2KFPSE · pith_short_8: 4B6MOI3O

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/4B6MOI3OFK2KFPSEBCYFLJ7AWR \
  | 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: e07cc7236e2ab4a2be4408b055a7e0b46b65f98449b18fba7ce1e4c7219b781f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8a2bb5c13cd793fb42222319f2152d1e8239920a3767335042fb16b59d31c70",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-22T18:01:33Z",
    "title_canon_sha256": "eb685511a46841342f285992a9b3b6bce70910b2d63c96286508392b0c7979b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4358",
    "kind": "arxiv",
    "version": 4
  }
}