Pith Number

pith:P2662ABF

pith:2025:P2662ABFRZVUXAI2BQ6SH5RSRA

not attested not anchored not stored refs pending

On Euler's magic matrices of sizes $3$ and $8$

Peter M\"uller

arxiv:2504.16260 v2 · 2025-04-22 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2662ABFRZVUXAI2BQ6SH5RSRA}

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	2026-05-20T00:02:49.686349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ebded00258e6b4b811a0c3d23f632881ec5ff66dbc1dc3c8509a6c41927df8b

Aliases

arxiv: 2504.16260 · arxiv_version: 2504.16260v2 · doi: 10.48550/arxiv.2504.16260 · pith_short_12: P2662ABFRZVU · pith_short_16: P2662ABFRZVUXAI2 · pith_short_8: P2662ABF

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/P2662ABFRZVUXAI2BQ6SH5RSRA \
  | 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: 7ebded00258e6b4b811a0c3d23f632881ec5ff66dbc1dc3c8509a6c41927df8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e1af8d0fcc723975135b6c892670d322b2f49c39b4be87506c2e054584620aa",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-22T20:38:41Z",
    "title_canon_sha256": "9d3a1a45fbee9d0daff879991735980dfb4d6cfcdbb038c72762f5277f772e22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.16260",
    "kind": "arxiv",
    "version": 2
  }
}