Pith Number

pith:7N54WCEC

pith:2019:7N54WCECGAE47ZG7SN6OIZUODM

not attested not anchored not stored refs pending

Enumeration of associative magic squares of order 7

Go Kato, Shin-ichi Minato

arxiv:1906.07461 v1 · 2019-06-18 · 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{7N54WCECGAE47ZG7SN6OIZUODM}

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	2026-05-17T23:43:07.840373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb7bcb08823009cfe4df937ce4668e1b1b068d0f667ca97ffee9c27960ff5b83

Aliases

arxiv: 1906.07461 · arxiv_version: 1906.07461v1 · doi: 10.48550/arxiv.1906.07461 · pith_short_12: 7N54WCECGAE4 · pith_short_16: 7N54WCECGAE47ZG7 · pith_short_8: 7N54WCEC

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/7N54WCECGAE47ZG7SN6OIZUODM \
  | 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: fb7bcb08823009cfe4df937ce4668e1b1b068d0f667ca97ffee9c27960ff5b83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eae02a8e030364873880b02f75a6409fff9f701dfcd873ed8d3c8015683141b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-18T09:32:06Z",
    "title_canon_sha256": "885f51f3d519ccd2e33ffae625b235a020fe9490e22aeaf81a3b8e52d9553335"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07461",
    "kind": "arxiv",
    "version": 1
  }
}