Pith Number

pith:ZM5OPS3H

pith:2005:ZM5OPS3HEJJ4YFIMXO5EJPZQUK

not attested not anchored not stored refs pending

Rotation sets of billiards with one obstacle

A. Blokh, M. Misiurewicz, N. Simanyi

arxiv:math/0508300 v1 · 2005-08-16 · 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{ZM5OPS3HEJJ4YFIMXO5EJPZQUK}

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	2026-05-18T04:42:22.424358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb3ae7cb672253cc150cbbba44bf30a2a2dfbe133ddfcde5095c02bbd3e4552d

Aliases

arxiv: math/0508300 · arxiv_version: math/0508300v1 · doi: 10.48550/arxiv.math/0508300 · pith_short_12: ZM5OPS3HEJJ4 · pith_short_16: ZM5OPS3HEJJ4YFIM · pith_short_8: ZM5OPS3H

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/ZM5OPS3HEJJ4YFIMXO5EJPZQUK \
  | 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: cb3ae7cb672253cc150cbbba44bf30a2a2dfbe133ddfcde5095c02bbd3e4552d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0f9daf3e052600a96846f0536abae8dcc99d4d876eecd2a59bf8d136417aa9f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2005-08-16T18:05:03Z",
    "title_canon_sha256": "daea204ff4cf14481ec1ddfe4840902e4c97da12053b127950db4f82a37fc76f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508300",
    "kind": "arxiv",
    "version": 1
  }
}