Pith Number

pith:4WRV2NI3

pith:2011:4WRV2NI34CV3QDYIGINXQVLYQX

not attested not anchored not stored refs pending

Square-Free Rings With Local Units

Martin Montgomery

arxiv:1106.0913 v1 · 2011-06-05 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WRV2NI34CV3QDYIGINXQVLYQX}

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	2026-05-18T04:20:37.035049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5a35d351be0abb80f08321b78557885d404a827b2440bbdc93739a906edbb6a

Aliases

arxiv: 1106.0913 · arxiv_version: 1106.0913v1 · doi: 10.48550/arxiv.1106.0913 · pith_short_12: 4WRV2NI34CV3 · pith_short_16: 4WRV2NI34CV3QDYI · pith_short_8: 4WRV2NI3

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/4WRV2NI34CV3QDYIGINXQVLYQX \
  | 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: e5a35d351be0abb80f08321b78557885d404a827b2440bbdc93739a906edbb6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee41ded333c50df4fcbb5469d62737a058bba87e06d2289d6d2484e66e26b427",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-06-05T16:47:04Z",
    "title_canon_sha256": "6060f6f5cf71088e3908537587af7ddaaaf8d7e921b3a320d6fd58e7832f9221"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0913",
    "kind": "arxiv",
    "version": 1
  }
}