Pith Number

pith:UKZ2H7CA

pith:2019:UKZ2H7CAQRRHNIOSPNOJSBQHDU

not attested not anchored not stored refs pending

Gaussian Integers, Rings, Finite Fields, and the Magic Square of Squares

Onno Cain

arxiv:1908.03236 v2 · 2019-08-08 · math.RA · 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{UKZ2H7CAQRRHNIOSPNOJSBQHDU}

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	2026-07-04T23:55:13.234503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2b3a3fc40846276a1d27b5c9906071d22f37b48bd12ad38ed9b59cd136ac823

Aliases

arxiv: 1908.03236 · arxiv_version: 1908.03236v2 · doi: 10.48550/arxiv.1908.03236 · pith_short_12: UKZ2H7CAQRRH · pith_short_16: UKZ2H7CAQRRHNIOS · pith_short_8: UKZ2H7CA

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/UKZ2H7CAQRRHNIOSPNOJSBQHDU \
  | 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: a2b3a3fc40846276a1d27b5c9906071d22f37b48bd12ad38ed9b59cd136ac823

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c862c5ca0ee4d6b8e6f3bc3cbaf99cc5f7ba83dae410aa866b0bf55b2c3ec679",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-08-08T18:41:15Z",
    "title_canon_sha256": "1a0dd6cfdbe43f87287867265d7387b0573c1ac0138ec5747b154d17d7d78612"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03236",
    "kind": "arxiv",
    "version": 2
  }
}