Pith Number

pith:RCCRCIJT

pith:2008:RCCRCIJT4Y5C25AW7QABHH4K5G

not attested not anchored not stored refs pending

Strong Lefschetz elements of the coinvariant rings of finite Coxeter groups

Akihito Wachi, Toshiaki Maeno, Yasuhide Numata

arxiv:0809.3558 v1 · 2008-09-21 · math.RT · math.AC · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RCCRCIJT4Y5C25AW7QABHH4K5G}

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	2026-05-18T02:55:28.011802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8885112133e63a2d7416fc00139f8ae9a65a1baee69d3e16c3f31ad50c23cd2e

Aliases

arxiv: 0809.3558 · arxiv_version: 0809.3558v1 · doi: 10.48550/arxiv.0809.3558 · pith_short_12: RCCRCIJT4Y5C · pith_short_16: RCCRCIJT4Y5C25AW · pith_short_8: RCCRCIJT

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/RCCRCIJT4Y5C25AW7QABHH4K5G \
  | 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: 8885112133e63a2d7416fc00139f8ae9a65a1baee69d3e16c3f31ad50c23cd2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0f9a1410b36ee517a6da3ec22d7810802dcd74f00bf8373b360c03f2ba51f1e",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2008-09-21T08:00:28Z",
    "title_canon_sha256": "4666a275a67b325cd0c1188d552db326f5d20ddd4b9fb3bf8965159357e390a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.3558",
    "kind": "arxiv",
    "version": 1
  }
}