Pith Number

pith:MHDBPXNX

pith:2012:MHDBPXNXZDPQM6LFY3ZSMICYKM

not attested not anchored not stored refs pending

A canonical system of basic invariants of a finite reflection group

Norihiro Nakashima, Shuhei Tsujie

arxiv:1211.6026 v4 · 2012-11-26 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHDBPXNXZDPQM6LFY3ZSMICYKM}

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	2026-05-18T00:11:24.188553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61c617ddb7c8df067965c6f32620585327d18d634ed30ab9f3300fd6f17ed38a

Aliases

arxiv: 1211.6026 · arxiv_version: 1211.6026v4 · doi: 10.48550/arxiv.1211.6026 · pith_short_12: MHDBPXNXZDPQ · pith_short_16: MHDBPXNXZDPQM6LF · pith_short_8: MHDBPXNX

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/MHDBPXNXZDPQM6LFY3ZSMICYKM \
  | 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: 61c617ddb7c8df067965c6f32620585327d18d634ed30ab9f3300fd6f17ed38a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b48d5f6d2fcbc6e42adfd9767a2b8b6ac2a034e12cea41587c38e527d814a98c",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-11-26T17:02:20Z",
    "title_canon_sha256": "5675c897f7775d82abe1de13088365e3fd241ad995e713622b86de9e86fc567a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6026",
    "kind": "arxiv",
    "version": 4
  }
}