Pith Number

pith:FEWZ7YF6

pith:2010:FEWZ7YF6Y225D2KH5FSCDFYCIQ

not attested not anchored not stored refs pending

Complementation in the Group of Units of Matrix Rings

Stewart Wilcox

arxiv:1010.1332 v1 · 2010-10-07 · 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{FEWZ7YF6Y225D2KH5FSCDFYCIQ}

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	2026-05-18T04:39:41.385920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

292d9fe0bec6b5d1e947e96421970244001d7b79dd47fce0eed7a967834a35af

Aliases

arxiv: 1010.1332 · arxiv_version: 1010.1332v1 · doi: 10.48550/arxiv.1010.1332 · pith_short_12: FEWZ7YF6Y225 · pith_short_16: FEWZ7YF6Y225D2KH · pith_short_8: FEWZ7YF6

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/FEWZ7YF6Y225D2KH5FSCDFYCIQ \
  | 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: 292d9fe0bec6b5d1e947e96421970244001d7b79dd47fce0eed7a967834a35af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0827b976dec13b146b71d009e43f24aa66fa3b2a99eb8bb99b41965089bb3748",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-10-07T04:29:47Z",
    "title_canon_sha256": "e9f22de8550b89ccf57e1146d46aa1f75fa7a5e8291e7c2fb88d9c4bf5b9f3a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1332",
    "kind": "arxiv",
    "version": 1
  }
}