Pith Number

pith:WCSXYOH2

pith:2026:WCSXYOH2KYAQEFL4MDGMUID3H7

not attested not anchored not stored refs pending

A proper Euler magic matrix of order $5$

Scott Duke Kominers

arxiv:2607.19416 v1 · 2026-07-18 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCSXYOH2KYAQEFL4MDGMUID3H7}

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	2026-07-23T00:23:48.845884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0a57c38fa560102157c60ccca207b3fcbfce361a1fa542b6aa0c8497e1a86af

Aliases

arxiv: 2607.19416 · arxiv_version: 2607.19416v1 · doi: 10.48550/arxiv.2607.19416 · pith_short_12: WCSXYOH2KYAQ · pith_short_16: WCSXYOH2KYAQEFL4 · pith_short_8: WCSXYOH2

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/WCSXYOH2KYAQEFL4MDGMUID3H7 \
  | 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: b0a57c38fa560102157c60ccca207b3fcbfce361a1fa542b6aa0c8497e1a86af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69a73f5081072813f8b3f3c31d95321d650e18a521cab0cde526f375016955ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2026-07-18T21:03:18Z",
    "title_canon_sha256": "daa5c5321b59dd2b62c3a6edb63ace54ac5d0d8c7c6ee949d154fb593c600485"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19416",
    "kind": "arxiv",
    "version": 1
  }
}