Pith Number

pith:7V7HO73M

pith:2023:7V7HO73MWYSYXSN72P5GSMARRO

not attested not anchored not stored refs pending

Planar aperiodic tile sets: from Wang tiles to the Hat and Spectre monotiles

Michael F. Whittaker, Tinka Bruneau

arxiv:2310.06759 v2 · 2023-10-10 · 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{7V7HO73MWYSYXSN72P5GSMARRO}

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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

Quasilattices of the Spectre monotile

Receipt and verification

First computed	2026-07-05T08:21:41.778222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd7e777f6cb6258bc9bfd3fa6930118b9e73f6b3e877a6a36281f2816d6d4570

Aliases

arxiv: 2310.06759 · arxiv_version: 2310.06759v2 · doi: 10.48550/arxiv.2310.06759 · pith_short_12: 7V7HO73MWYSY · pith_short_16: 7V7HO73MWYSYXSN7 · pith_short_8: 7V7HO73M

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/7V7HO73MWYSYXSN72P5GSMARRO \
  | 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: fd7e777f6cb6258bc9bfd3fa6930118b9e73f6b3e877a6a36281f2816d6d4570

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8080134ebcd78352003518b638881788dea807cdaee2b4f75760048eb04e743",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2023-10-10T16:34:42Z",
    "title_canon_sha256": "cb476920482160161ea40db0490bd7ce96578db59164ad2e4bbf3ca2ee1c7b37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.06759",
    "kind": "arxiv",
    "version": 2
  }
}