Pith Number

pith:DX562WCW

pith:2011:DX562WCW6HJQLCTG4C6EGM2NFE

not attested not anchored not stored refs pending

Outer Billiards on the Penrose Kite: Compactification and Renormalizaiton

Richard Evan Schwartz

arxiv:1102.4635 v1 · 2011-02-22 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DX562WCW6HJQLCTG4C6EGM2NFE}

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	2026-05-18T04:28:07.763053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dfbed5856f1d3058a66e0bc43334d2933b902706df4117c37743b39f1bd1ccf

Aliases

arxiv: 1102.4635 · arxiv_version: 1102.4635v1 · doi: 10.48550/arxiv.1102.4635 · pith_short_12: DX562WCW6HJQ · pith_short_16: DX562WCW6HJQLCTG · pith_short_8: DX562WCW

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/DX562WCW6HJQLCTG4C6EGM2NFE \
  | 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: 1dfbed5856f1d3058a66e0bc43334d2933b902706df4117c37743b39f1bd1ccf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00607a97cd1b0c88d32850d2dcfc38f77740475fb0e9945759cec74f5c88df16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-02-22T22:35:48Z",
    "title_canon_sha256": "f3723767ab16bd09090ef668f9c589faca57d0b9478fb4e3de49603bee35118f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4635",
    "kind": "arxiv",
    "version": 1
  }
}