Pith Number

pith:4QA7EJAZ

pith:2013:4QA7EJAZ5ETRB2OLEEWHBDEUG4

not attested not anchored not stored refs pending

Construction of the mutually orthogonal extraordinary supersquares

Cristian Ghiu, Iulia Ghiu

arxiv:1304.8086 v3 · 2013-04-30 · math-ph · math.CO · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4QA7EJAZ5ETRB2OLEEWHBDEUG4}

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	2026-05-18T03:03:22.813224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e401f22419e92710e9cb212c708c9437062e30e4eb1b1747550e879add34a315

Aliases

arxiv: 1304.8086 · arxiv_version: 1304.8086v3 · doi: 10.48550/arxiv.1304.8086 · pith_short_12: 4QA7EJAZ5ETR · pith_short_16: 4QA7EJAZ5ETRB2OL · pith_short_8: 4QA7EJAZ

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/4QA7EJAZ5ETRB2OLEEWHBDEUG4 \
  | 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: e401f22419e92710e9cb212c708c9437062e30e4eb1b1747550e879add34a315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9ad02ef3185f2048e463fc07282feeb2ee42ad784a2dbe19f664b5af9d8508a",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-04-30T17:35:10Z",
    "title_canon_sha256": "fab54a566846144c17fbd3b0bc4e9e9b352eb9658d16687e9e40901a50a1c94f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.8086",
    "kind": "arxiv",
    "version": 3
  }
}