pith. sign in
Pith Number

pith:QSBZKQSM

pith:2017:QSBZKQSM72RXB6C2NKYU6TW2OH
not attested not anchored not stored refs pending

Pandiagonal Type-p Franklin Squares

John Lorch

arxiv:1712.09602 v1 · 2017-12-27 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QSBZKQSM72RXB6C2NKYU6TW2OH}

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 2026-05-18T00:27:07.845210Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

848395424cfea370f85a6ab14f4eda71e3dd502c91d693affb7b5fd5c40d98c5

Aliases

arxiv: 1712.09602 · arxiv_version: 1712.09602v1 · doi: 10.48550/arxiv.1712.09602 · pith_short_12: QSBZKQSM72RX · pith_short_16: QSBZKQSM72RXB6C2 · pith_short_8: QSBZKQSM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QSBZKQSM72RXB6C2NKYU6TW2OH \
  | 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: 848395424cfea370f85a6ab14f4eda71e3dd502c91d693affb7b5fd5c40d98c5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8414734a8e46791c0248075ef4e148f4e8770dc795e4cf22fa1be2a0b3530e32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-27T15:34:35Z",
    "title_canon_sha256": "2d86035eb76b05d044f72100de4e53d035e152423f1d6e2f3fb752c679e372b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09602",
    "kind": "arxiv",
    "version": 1
  }
}