Pith Number

pith:PTH7SXLT

pith:2011:PTH7SXLTI57O4ZPIGFOELGQS5J

not attested not anchored not stored refs pending

Representation zeta functions of nilpotent groups and generating functions for Weyl groups of type B

Alexander Stasinski, Christopher Voll

arxiv:1104.1756 v2 · 2011-04-10 · math.GR · 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{PTH7SXLTI57O4ZPIGFOELGQS5J}

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	2026-05-18T02:57:44.273032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ccff95d73477eee65e8315c459a12ea5226c06f9032dcaceb0bb60970edd9cc

Aliases

arxiv: 1104.1756 · arxiv_version: 1104.1756v2 · doi: 10.48550/arxiv.1104.1756 · pith_short_12: PTH7SXLTI57O · pith_short_16: PTH7SXLTI57O4ZPI · pith_short_8: PTH7SXLT

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/PTH7SXLTI57O4ZPIGFOELGQS5J \
  | 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: 7ccff95d73477eee65e8315c459a12ea5226c06f9032dcaceb0bb60970edd9cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "658554437e3a9eb8e9a19124ca9bd095abe57d9e7da12492ecd67f6f87150fe5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-04-10T08:34:13Z",
    "title_canon_sha256": "e01cb56d19ca23228a550214bdeb486b3c4bb6420d6c224898b0a352f9790a0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1756",
    "kind": "arxiv",
    "version": 2
  }
}