Pith Number

pith:WXG743RZ

pith:2010:WXG743RZTVCQDJ6YKVSGIVFFWE

not attested not anchored not stored refs pending

An element of order 4 in the Nottingham group at the prime 2

Peter Symonds, Ted Chinburg

arxiv:1009.5135 v1 · 2010-09-26 · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXG743RZTVCQDJ6YKVSGIVFFWE}

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	2026-05-18T04:40:19.116646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5cdfe6e399d4501a7d855646454a5b1005969b1be67a03fb9816353d48dd8c2

Aliases

arxiv: 1009.5135 · arxiv_version: 1009.5135v1 · doi: 10.48550/arxiv.1009.5135 · pith_short_12: WXG743RZTVCQ · pith_short_16: WXG743RZTVCQDJ6Y · pith_short_8: WXG743RZ

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/WXG743RZTVCQDJ6YKVSGIVFFWE \
  | 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: b5cdfe6e399d4501a7d855646454a5b1005969b1be67a03fb9816353d48dd8c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "227b81a26ff50b994d8da22d527fe4df15754d4a235f782e1421d294638c349a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-09-26T22:23:42Z",
    "title_canon_sha256": "20e6bedcedf38d76e2ac57a63546cc70205852890d481c89abb657a4586e490e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5135",
    "kind": "arxiv",
    "version": 1
  }
}