Pith Number

pith:NPJY5SCE

pith:2009:NPJY5SCEVSSYG3ISAG47IR3AV3

not attested not anchored not stored refs pending

Enumeration of $4 \times 4$ Magic Squares

Andrew Van Herick, Matthias Beck

arxiv:0907.3188 v2 · 2009-07-18 · 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{NPJY5SCEVSSYG3ISAG47IR3AV3}

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	2026-05-18T04:27:25.676383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bd38ec844aca5836d1201b9f44760aed38dd83c4c5b0cf75e3f974f1276e442

Aliases

arxiv: 0907.3188 · arxiv_version: 0907.3188v2 · doi: 10.48550/arxiv.0907.3188 · pith_short_12: NPJY5SCEVSSY · pith_short_16: NPJY5SCEVSSYG3IS · pith_short_8: NPJY5SCE

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/NPJY5SCEVSSYG3ISAG47IR3AV3 \
  | 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: 6bd38ec844aca5836d1201b9f44760aed38dd83c4c5b0cf75e3f974f1276e442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61ceb1fd27dd3ab4da0aa9791d49a22d4988f97b225ca97b89b93b8cf433dda4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-07-18T07:54:03Z",
    "title_canon_sha256": "0c82033efe5babcc56e03fee9313d6afbc1d18a7b80e2ae368abd1fa2b18258d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3188",
    "kind": "arxiv",
    "version": 2
  }
}