Pith Number

pith:BXI5LREA

pith:2023:BXI5LREAV6NLPTF7RZVRN2RAMX

not attested not anchored not stored refs pending

An alternative proof for an aperiodic monotile

Shigeki Akiyama, Yoshiaki Araki

arxiv:2307.12322 v7 · 2023-07-23 · math.MG · math.CO · math.DS · 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{BXI5LREAV6NLPTF7RZVRN2RAMX}

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.

Cited by

1 paper in Pith

On the long-range order of the Spectre tilings

Receipt and verification

First computed	2026-07-05T10:02:40.888165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dd1d5c480af9ab7ccbf8e6b16ea2065d6eff157fdabadd68b383d51b7cd348c

Aliases

arxiv: 2307.12322 · arxiv_version: 2307.12322v7 · doi: 10.48550/arxiv.2307.12322 · pith_short_12: BXI5LREAV6NL · pith_short_16: BXI5LREAV6NLPTF7 · pith_short_8: BXI5LREA

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/BXI5LREAV6NLPTF7RZVRN2RAMX \
  | 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: 0dd1d5c480af9ab7ccbf8e6b16ea2065d6eff157fdabadd68b383d51b7cd348c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "380848b012988d60e46ba22d095193c48f8dd96879dc246b9d73cf5aab73029b",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2023-07-23T13:24:05Z",
    "title_canon_sha256": "2c185e99ba514dd0a36a43b4b27bdc16ef2953b0fdf9e7fbbca8ae48280c0012"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.12322",
    "kind": "arxiv",
    "version": 7
  }
}