Pith Number

pith:KFB4E2LF

pith:2012:KFB4E2LFP6J5LRDO74RSZQDZP6

not attested not anchored not stored refs pending

On the Construction of Even Order Magic Squares

Abdullahi Umar

arxiv:1202.0948 v1 · 2012-02-05 · 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{KFB4E2LFP6J5LRDO74RSZQDZP6}

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	2026-05-18T04:03:05.706298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5143c269657f93d5c46eff232cc0797f84158d4a07988cee2f689f4091456fea

Aliases

arxiv: 1202.0948 · arxiv_version: 1202.0948v1 · doi: 10.48550/arxiv.1202.0948 · pith_short_12: KFB4E2LFP6J5 · pith_short_16: KFB4E2LFP6J5LRDO · pith_short_8: KFB4E2LF

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/KFB4E2LFP6J5LRDO74RSZQDZP6 \
  | 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: 5143c269657f93d5c46eff232cc0797f84158d4a07988cee2f689f4091456fea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1de0f4316fd63e6652d45f53185570d5c9d9b990deb12a00af23745b5891f62f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-05T10:30:39Z",
    "title_canon_sha256": "d294435ad80bf434d1da6695ea56bc557d5a4dcf710fae98e119a7e237c4a53d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0948",
    "kind": "arxiv",
    "version": 1
  }
}