Pith Number

pith:CFEOD5HJ

pith:2018:CFEOD5HJ3FJRVQU2EVZ7REDRA6

not attested not anchored not stored refs pending

Polynomials describing the multiplication in finitely generated torsion free nilpotent groups

Alexander Cant, Bettina Eick

arxiv:1801.02932 v2 · 2018-01-09 · 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{CFEOD5HJ3FJRVQU2EVZ7REDRA6}

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	2026-05-18T00:20:44.148402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1148e1f4e9d9531ac29a2573f8907107b879477d9fbb99e5423bb762aa0fb549

Aliases

arxiv: 1801.02932 · arxiv_version: 1801.02932v2 · doi: 10.48550/arxiv.1801.02932 · pith_short_12: CFEOD5HJ3FJR · pith_short_16: CFEOD5HJ3FJRVQU2 · pith_short_8: CFEOD5HJ

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/CFEOD5HJ3FJRVQU2EVZ7REDRA6 \
  | 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: 1148e1f4e9d9531ac29a2573f8907107b879477d9fbb99e5423bb762aa0fb549

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cacd340b0a37161b6ebaf1615908d57a1f8f70b874b8b1b64b20c56513dbf662",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-01-09T13:45:21Z",
    "title_canon_sha256": "6ee732a652c21bbc48fc7ef89f37a3751be2282f16e64e7cc317eaea9e28e468"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02932",
    "kind": "arxiv",
    "version": 2
  }
}