Pith Number

pith:KM7TCPI7

pith:2005:KM7TCPI724OEZYH7ULIZRX6ALK

not attested not anchored not stored refs pending

Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture

Artur Avila, Marcelo Viana

arxiv:math/0508508 v1 · 2005-08-25 · 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{KM7TCPI724OEZYH7ULIZRX6ALK}

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	2026-05-18T01:05:23.233266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

533f313d1fd71c4ce0ffa2d198dfc05aadd56a77019e23d2255b016a4d801589

Aliases

arxiv: math/0508508 · arxiv_version: math/0508508v1 · doi: 10.48550/arxiv.math/0508508 · pith_short_12: KM7TCPI724OE · pith_short_16: KM7TCPI724OEZYH7 · pith_short_8: KM7TCPI7

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/KM7TCPI724OEZYH7ULIZRX6ALK \
  | 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: 533f313d1fd71c4ce0ffa2d198dfc05aadd56a77019e23d2255b016a4d801589

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "511039be66ecf17a5e86343a49cbe241eb0e105688c055d578c7580242c7d735",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2005-08-25T14:49:43Z",
    "title_canon_sha256": "e0297ead8341d229a0dcc231e46ef1c93e5849cc2f4fbf6dfea76c15eebd2233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508508",
    "kind": "arxiv",
    "version": 1
  }
}