Pith Number

pith:VBXFIB5E

pith:2010:VBXFIB5ETLPPFX5ZMQACI5TULX

not attested not anchored not stored refs pending

A fractal version of the pinwheel tiling

Michael F. Whittaker, Natalie Priebe Frank

arxiv:1001.2203 v3 · 2010-01-13 · math.DS · math-ph · math.AT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBXFIB5ETLPPFX5ZMQACI5TULX}

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	2026-05-18T03:49:09.419081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a86e5407a49adef2dfb964002476745dcf4bac5179e707d6f1efa0a7447780e1

Aliases

arxiv: 1001.2203 · arxiv_version: 1001.2203v3 · doi: 10.48550/arxiv.1001.2203 · pith_short_12: VBXFIB5ETLPP · pith_short_16: VBXFIB5ETLPPFX5Z · pith_short_8: VBXFIB5E

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/VBXFIB5ETLPPFX5ZMQACI5TULX \
  | 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: a86e5407a49adef2dfb964002476745dcf4bac5179e707d6f1efa0a7447780e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb1b157050a820de9b2a4a9a8dee4f2fc8eccacc6a3345362c20f5235aea156f",
    "cross_cats_sorted": [
      "math-ph",
      "math.AT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-01-13T14:42:26Z",
    "title_canon_sha256": "c31708b85b4801faecedd909749924f81646a9d2f04a63d31a917bcd36069460"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2203",
    "kind": "arxiv",
    "version": 3
  }
}