Pith Number

pith:XBNUTD2E

pith:2017:XBNUTD2EDFCZDVAFJSQYHND5B4

not attested not anchored not stored refs pending

p-Divisibility of the number of linear representations of an Abelian p-group

Chen Wang

arxiv:1709.04829 v1 · 2017-09-14 · math.CO · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XBNUTD2EDFCZDVAFJSQYHND5B4}

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	2026-05-17T23:46:42.046683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b85b498f44194591d4054ca183b47d0f0a7f9bd8d47169944e5ab7c3467e9b2a

Aliases

arxiv: 1709.04829 · arxiv_version: 1709.04829v1 · doi: 10.48550/arxiv.1709.04829 · pith_short_12: XBNUTD2EDFCZ · pith_short_16: XBNUTD2EDFCZDVAF · pith_short_8: XBNUTD2E

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/XBNUTD2EDFCZDVAFJSQYHND5B4 \
  | 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: b85b498f44194591d4054ca183b47d0f0a7f9bd8d47169944e5ab7c3467e9b2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaa0be448d66c689f1b39a7220d611b47d6d4f719f8b8628af4284ed35b90787",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-14T15:00:09Z",
    "title_canon_sha256": "b100556ced35a66d94958246135847eb889d602a6b71b38df642d3f2b9c221d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04829",
    "kind": "arxiv",
    "version": 1
  }
}