Pith Number

pith:NZI7Z5ZY

pith:2010:NZI7Z5ZYGYMIRS2ASIZISTVDQS

not attested not anchored not stored refs pending

Distortion in Free Nilpotent Groups

Tara Davis

arxiv:1009.2730 v1 · 2010-09-14 · 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{NZI7Z5ZYGYMIRS2ASIZISTVDQS}

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	2026-05-18T04:40:56.466075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e51fcf738361888cb409232894ea3849bd78c23e980208ae59fb6b703a3a1d0

Aliases

arxiv: 1009.2730 · arxiv_version: 1009.2730v1 · doi: 10.48550/arxiv.1009.2730 · pith_short_12: NZI7Z5ZYGYMI · pith_short_16: NZI7Z5ZYGYMIRS2A · pith_short_8: NZI7Z5ZY

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/NZI7Z5ZYGYMIRS2ASIZISTVDQS \
  | 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: 6e51fcf738361888cb409232894ea3849bd78c23e980208ae59fb6b703a3a1d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7e9ff6c819bc782c1011807819d77b0d1f2f9ce085e184116c3d84810639f93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-09-14T18:15:41Z",
    "title_canon_sha256": "5e1bcec6d1bf3fc8f93cf768213bea023708b7c9884e69f8eb4992913e7f3970"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2730",
    "kind": "arxiv",
    "version": 1
  }
}