Pith Number

pith:VKZBUJ4R

pith:2023:VKZBUJ4RW3SXKHC3J6MJZGHWPZ

not attested not anchored not stored refs pending

A chiral aperiodic monotile

Chaim Goodman-Strauss, Craig S. Kaplan, David Smith, Joseph Samuel Myers

arxiv:2305.17743 v2 · 2023-05-28 · math.CO · cs.DM · 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{VKZBUJ4RW3SXKHC3J6MJZGHWPZ}

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

Renormalisation techniques for inflation systems and some of their applications

Receipt and verification

First computed	2026-07-05T09:12:53.271163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aab21a2791b6e5751c5b4f989c98f67e49c3682c7c78b65bdca6d8080746a548

Aliases

arxiv: 2305.17743 · arxiv_version: 2305.17743v2 · doi: 10.48550/arxiv.2305.17743 · pith_short_12: VKZBUJ4RW3SX · pith_short_16: VKZBUJ4RW3SXKHC3 · pith_short_8: VKZBUJ4R

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/VKZBUJ4RW3SXKHC3J6MJZGHWPZ \
  | 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: aab21a2791b6e5751c5b4f989c98f67e49c3682c7c78b65bdca6d8080746a548

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "191225b27234d036367899432a975d7907c8e61b7e81911c1159a99d5909f485",
    "cross_cats_sorted": [
      "cs.DM",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-05-28T14:51:19Z",
    "title_canon_sha256": "ecaef3c06112e626961fcf68f0951b28d57235825d2e566e36602c16a69db81c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.17743",
    "kind": "arxiv",
    "version": 2
  }
}