Pith Number

pith:QBRBAPPW

pith:2019:QBRBAPPWWY55LFCFPUITJKBOKR

not attested not anchored not stored refs pending

A parametrization of 8x8 magic squares of squares through octonionic multiplication

\'Isabel Pirsic

arxiv:1908.00838 v2 · 2019-08-02 · math.HO · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBRBAPPWWY55LFCFPUITJKBOKR}

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.

Cited by

1 paper in Pith

On Euler's magic matrices of sizes $3$ and $8$

Receipt and verification

First computed	2026-07-04T23:51:25.058450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8062103df6b63bd594457d1134a82e54615ebda9639c673e60b53927151d7f6a

Aliases

arxiv: 1908.00838 · arxiv_version: 1908.00838v2 · doi: 10.48550/arxiv.1908.00838 · pith_short_12: QBRBAPPWWY55 · pith_short_16: QBRBAPPWWY55LFCF · pith_short_8: QBRBAPPW

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/QBRBAPPWWY55LFCFPUITJKBOKR \
  | 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: 8062103df6b63bd594457d1134a82e54615ebda9639c673e60b53927151d7f6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a4da6c7ef493946582f1f8d7a5be9228916a9128065e86fb43fc8e5991a281a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2019-08-02T13:11:24Z",
    "title_canon_sha256": "f55491114d8759778aecda79c2059d5b657e0f8ea945c71f65cd358dfaf88c17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.00838",
    "kind": "arxiv",
    "version": 2
  }
}