Pith Number

pith:HL4MLPKD

pith:2006:HL4MLPKDFJ7EYGD5MURBUJ6EJY

not attested not anchored not stored refs pending

Hyperbolic outer billiards : a first example

Daniel Genin

arxiv:math/0601338 v2 · 2006-01-13 · math.DS · math-ph · 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{HL4MLPKDFJ7EYGD5MURBUJ6EJY}

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	2026-05-18T04:22:40.633952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3af8c5bd432a7e4c187d65221a27c44e313f2005bb2be5e16323df7b7846c559

Aliases

arxiv: math/0601338 · arxiv_version: math/0601338v2 · doi: 10.48550/arxiv.math/0601338 · pith_short_12: HL4MLPKDFJ7E · pith_short_16: HL4MLPKDFJ7EYGD5 · pith_short_8: HL4MLPKD

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/HL4MLPKDFJ7EYGD5MURBUJ6EJY \
  | 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: 3af8c5bd432a7e4c187d65221a27c44e313f2005bb2be5e16323df7b7846c559

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aebab2a1c4aee23cd405622fecdc2f1758447360e323ae5a3445f992590b3187",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2006-01-13T16:08:57Z",
    "title_canon_sha256": "a222205808b1607f86ccac613405e8af087fa42317f7d0a755410e637d6e7ee3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601338",
    "kind": "arxiv",
    "version": 2
  }
}