Pith Number

pith:6PG4GCAF

pith:2007:6PG4GCAFYRCYS4GC7QBGCYL6IO

not attested not anchored not stored refs pending

The strong Lefschetz property of the coinvariant ring of the Coxeter group of type H4

Akihito Wachi, Yasuhide Numata

arxiv:math/0703003 v1 · 2007-03-01 · math.RT · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PG4GCAFYRCYS4GC7QBGCYL6IO}

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	2026-05-18T02:55:26.303016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3cdc30805c4458970c2fc0261617e4397f66b340221d324222de6052b2d4e35

Aliases

arxiv: math/0703003 · arxiv_version: math/0703003v1 · doi: 10.48550/arxiv.math/0703003 · pith_short_12: 6PG4GCAFYRCY · pith_short_16: 6PG4GCAFYRCYS4GC · pith_short_8: 6PG4GCAF

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/6PG4GCAFYRCYS4GC7QBGCYL6IO \
  | 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: f3cdc30805c4458970c2fc0261617e4397f66b340221d324222de6052b2d4e35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f464890f2aac5040608a12d8fff819d127244e5f31f2da243d7c5d7328974b78",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2007-03-01T00:00:02Z",
    "title_canon_sha256": "5632d52c8c6559dfa52551c6beb1dc451ab52e2caeef258834a231eb08a53e61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703003",
    "kind": "arxiv",
    "version": 1
  }
}