Pith Number

pith:QZB6STV6

pith:2013:QZB6STV67BTTS6HENFWFPSEXIZ

not attested not anchored not stored refs pending

On the sign representations for the complex reflection groups $G(r,p,n)$

Aba Mbirika, Thomas Pietraho, William Silver

arxiv:1303.5021 v1 · 2013-03-20 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZB6STV67BTTS6HENFWFPSEXIZ}

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	2026-05-18T00:37:58.843541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8643e94ebef8673978e4696c57c897464ab139e67f7c85b0f235776e3c6ae43a

Aliases

arxiv: 1303.5021 · arxiv_version: 1303.5021v1 · doi: 10.48550/arxiv.1303.5021 · pith_short_12: QZB6STV67BTT · pith_short_16: QZB6STV67BTTS6HE · pith_short_8: QZB6STV6

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/QZB6STV67BTTS6HENFWFPSEXIZ \
  | 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: 8643e94ebef8673978e4696c57c897464ab139e67f7c85b0f235776e3c6ae43a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c247618f08993eef81bfac78382ef28fa50afb6d9827355bec6eab23b489866e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-20T18:37:19Z",
    "title_canon_sha256": "7b80bd6d3e17f32834b8685374fa111739530ffc5356f37e33bcc6b5093d4490"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5021",
    "kind": "arxiv",
    "version": 1
  }
}