Pith Number

pith:EVVBWSKC

pith:2017:EVVBWSKC5NEF3R5ZHLPMPFEDEV

not attested not anchored not stored refs pending

Finite decomposition rank for virtually nilpotent groups

Caleb Eckhardt, Elizabeth Gillaspy, Paul McKenney

arxiv:1706.04142 v2 · 2017-06-13 · math.OA · 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{EVVBWSKC5NEF3R5ZHLPMPFEDEV}

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	2026-05-18T00:25:11.682949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

256a1b4942eb485dc7b93adec79483254e2377dc63473b8d604a2312de2048d8

Aliases

arxiv: 1706.04142 · arxiv_version: 1706.04142v2 · doi: 10.48550/arxiv.1706.04142 · pith_short_12: EVVBWSKC5NEF · pith_short_16: EVVBWSKC5NEF3R5Z · pith_short_8: EVVBWSKC

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/EVVBWSKC5NEF3R5ZHLPMPFEDEV \
  | 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: 256a1b4942eb485dc7b93adec79483254e2377dc63473b8d604a2312de2048d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9075c4befc0a4b3fcc811d61c44a1c6d70fa3f6f2250e302f7021163d94de0fa",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-06-13T16:03:15Z",
    "title_canon_sha256": "4efcb90333d2aafe43906f22c6a1edaf3f6bab27a9b180d1c3b74399dd15e60c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04142",
    "kind": "arxiv",
    "version": 2
  }
}