Pith Number

pith:6IBI6AZO

pith:2008:6IBI6AZOQQXK3YZSHK2MQCSZ2B

not attested not anchored not stored refs pending

Extending the Coinvariant Theorems of Chevalley, Shephard--Todd, Mitchell and Springer

Abraham Broer, Larry Smith, Peter Webb, Victor Reiner

arxiv:0805.3694 v2 · 2008-05-24 · math.AC · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6IBI6AZOQQXK3YZSHK2MQCSZ2B}

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	2026-05-18T02:58:11.498340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2028f032e842eade3323ab4c80a59d07554f2a6bc017babf73912511cf26f1e

Aliases

arxiv: 0805.3694 · arxiv_version: 0805.3694v2 · doi: 10.48550/arxiv.0805.3694 · pith_short_12: 6IBI6AZOQQXK · pith_short_16: 6IBI6AZOQQXK3YZS · pith_short_8: 6IBI6AZO

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/6IBI6AZOQQXK3YZSHK2MQCSZ2B \
  | 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: f2028f032e842eade3323ab4c80a59d07554f2a6bc017babf73912511cf26f1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "491c8a1ca4abc0ee340b53a7c818e7cc93ab2b47f51676feb13e97d99feae329",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2008-05-24T12:57:34Z",
    "title_canon_sha256": "9a1f445b719fa0bb1f833560cb8aa3aeee3c9baedaac8cdd8f7643f094365443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.3694",
    "kind": "arxiv",
    "version": 2
  }
}