Pith Number

pith:WIWQVY2S

pith:2012:WIWQVY2S2V6RUA7MX5H7FCDYOZ

not attested not anchored not stored refs pending

Robust vanishing of all Lyapunov exponents for iterated function systems

Christian Bonatti, Jairo Bochi, Lorenzo J. D\'iaz

arxiv:1211.3435 v2 · 2012-11-14 · 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{WIWQVY2S2V6RUA7MX5H7FCDYOZ}

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	2026-05-18T03:21:54.019145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b22d0ae352d57d1a03ecbf4ff2887876489d09a02a3cd55eea14c2fd138da7da

Aliases

arxiv: 1211.3435 · arxiv_version: 1211.3435v2 · doi: 10.48550/arxiv.1211.3435 · pith_short_12: WIWQVY2S2V6R · pith_short_16: WIWQVY2S2V6RUA7M · pith_short_8: WIWQVY2S

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/WIWQVY2S2V6RUA7MX5H7FCDYOZ \
  | 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: b22d0ae352d57d1a03ecbf4ff2887876489d09a02a3cd55eea14c2fd138da7da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b957d637076dc3cd7c718d9948c6a36cc4ea7b3d120e774a94b1baf1ab45e3da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-11-14T21:27:33Z",
    "title_canon_sha256": "7003f35b1b58434dad3caaf0ca105fddf1f575fc2ae7897b8b50c3f88a00f3d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3435",
    "kind": "arxiv",
    "version": 2
  }
}