Pith Number

pith:EDMEPJMP

pith:2026:EDMEPJMPFF56LVFP2VEL7FARUJ

not attested not anchored not stored refs pending

An aperiodic set of Wang tiles for every quadratic irrational

Jarkko Kari, Pieter Mostert, S\'ebastien Labb\'e

arxiv:2606.24693 v1 · 2026-06-23 · math.NT · math.CO · math.DS · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EDMEPJMPFF56LVFP2VEL7FARUJ}

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	2026-06-24T01:15:39.403109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20d847a58f297be5d4afd548bf9411a2797bb6c3bf2910e0350ec1c95ebc371c

Aliases

arxiv: 2606.24693 · arxiv_version: 2606.24693v1 · doi: 10.48550/arxiv.2606.24693 · pith_short_12: EDMEPJMPFF56 · pith_short_16: EDMEPJMPFF56LVFP · pith_short_8: EDMEPJMP

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/EDMEPJMPFF56LVFP2VEL7FARUJ \
  | 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: 20d847a58f297be5d4afd548bf9411a2797bb6c3bf2910e0350ec1c95ebc371c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f552bc2471e3dc458045c8687a735764639e7bb467fc7c73f6d46d025fba3e47",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-23T15:22:15Z",
    "title_canon_sha256": "59b4de73bbc6c2cedf681a9bde7b5280b272e4a72993264ef1801f1c12f94949"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24693",
    "kind": "arxiv",
    "version": 1
  }
}