Pith Number

pith:WH24ENMI

pith:2015:WH24ENMID2XBEOZA4E55SFG7YI

not attested not anchored not stored refs pending

Effective Separability of Finitely Generated Nilpotent Groups

Mark Pengitore

arxiv:1502.05445 v3 · 2015-02-18 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WH24ENMID2XBEOZA4E55SFG7YI}

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	2026-05-18T00:43:21.394473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1f5c235881eae123b20e13bd914dfc2099e27e0c91e17c630155d43f6bb9ab1

Aliases

arxiv: 1502.05445 · arxiv_version: 1502.05445v3 · doi: 10.48550/arxiv.1502.05445 · pith_short_12: WH24ENMID2XB · pith_short_16: WH24ENMID2XBEOZA · pith_short_8: WH24ENMI

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/WH24ENMID2XBEOZA4E55SFG7YI \
  | 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: b1f5c235881eae123b20e13bd914dfc2099e27e0c91e17c630155d43f6bb9ab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "331e38214229145fcf58be49fbfe0985f910c49082bf52f4084b233fa944372a",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-02-18T23:59:22Z",
    "title_canon_sha256": "70f5753ccf86ba45b6670d216b5f9dd788a1e3629c5e470311c56829a4d19c17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05445",
    "kind": "arxiv",
    "version": 3
  }
}