Pith Number

pith:CQ5UQTWD

pith:2010:CQ5UQTWDGCY4NJZUPGE3UDVHFM

not attested not anchored not stored refs pending

Minimal sets of non-resonant torus homeomorphisms

Ferry Kwakkel

arxiv:1002.0364 v3 · 2010-02-01 · 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{CQ5UQTWDGCY4NJZUPGE3UDVHFM}

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	2026-05-18T02:52:42.526721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

143b484ec330b1c6a7347989ba0ea72b1ea37de3d1a94a8b95133b09896127d5

Aliases

arxiv: 1002.0364 · arxiv_version: 1002.0364v3 · doi: 10.48550/arxiv.1002.0364 · pith_short_12: CQ5UQTWDGCY4 · pith_short_16: CQ5UQTWDGCY4NJZU · pith_short_8: CQ5UQTWD

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/CQ5UQTWDGCY4NJZUPGE3UDVHFM \
  | 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: 143b484ec330b1c6a7347989ba0ea72b1ea37de3d1a94a8b95133b09896127d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6ba0e6a0e66300e7a7c781f793d75ea5fb7c02c4bc3e21da1977a0f813fa9ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-02-01T23:43:18Z",
    "title_canon_sha256": "6b4729b86b8977748f456742b85fa3ba3d01c3b9e8ee67713ceb47db3d4b6285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0364",
    "kind": "arxiv",
    "version": 3
  }
}