Pith Number

pith:XXRN4BO7

pith:2010:XXRN4BO7UJR3IIMM6W3QSFJCQ5

not attested not anchored not stored refs pending

Polynilpotent Capability of Finitely Generated Abelian Groups

Behrooz Mashayekhy, Mohsen Parvizi, Saeed Kayvanfar

arxiv:1012.0129 v1 · 2010-12-01 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXRN4BO7UJR3IIMM6W3QSFJCQ5}

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	2026-05-18T04:34:18.882385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bde2de05dfa263b4218cf5b70915228742fcd01618ce77a0a260b2a866599f53

Aliases

arxiv: 1012.0129 · arxiv_version: 1012.0129v1 · doi: 10.48550/arxiv.1012.0129 · pith_short_12: XXRN4BO7UJR3 · pith_short_16: XXRN4BO7UJR3IIMM · pith_short_8: XXRN4BO7

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/XXRN4BO7UJR3IIMM6W3QSFJCQ5 \
  | 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: bde2de05dfa263b4218cf5b70915228742fcd01618ce77a0a260b2a866599f53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "451a6bf4f851988924f390e5015b0a95955c9090c0bb9fc1a655ca93897b0e22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-12-01T09:13:19Z",
    "title_canon_sha256": "9fb9d8af187446bc6577988012e65fd520556274e56166d1140df3a783b87e39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0129",
    "kind": "arxiv",
    "version": 1
  }
}