Pith Number

pith:KWHOYIOH

pith:2010:KWHOYIOH2FMHHRYVBEFVEAXLZS

not attested not anchored not stored refs pending

Schmidt's game, fractals, and orbits of toral endomorphisms

Dmitry Kleinbock, Lior Fishman, Ryan Broderick

arxiv:1001.0318 v3 · 2010-01-02 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KWHOYIOH2FMHHRYVBEFVEAXLZS}

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	2026-05-18T00:05:15.127358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

558eec21c7d15873c715090b5202ebccb92a2ef7c2b602e28759ff8364768d43

Aliases

arxiv: 1001.0318 · arxiv_version: 1001.0318v3 · doi: 10.48550/arxiv.1001.0318 · pith_short_12: KWHOYIOH2FMH · pith_short_16: KWHOYIOH2FMHHRYV · pith_short_8: KWHOYIOH

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/KWHOYIOH2FMHHRYVBEFVEAXLZS \
  | 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: 558eec21c7d15873c715090b5202ebccb92a2ef7c2b602e28759ff8364768d43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9bc4a90b424dff3ccb7d541f5752294fc55969be46317f9c47e9be6f013a20b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-01-02T16:40:43Z",
    "title_canon_sha256": "4bba00a303cd87c1086a1aa66789b36a9c444a994c064a6a7a58cd748d22986b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0318",
    "kind": "arxiv",
    "version": 3
  }
}