Pith Number

pith:G72W5XQS

pith:2013:G72W5XQSXX4W35CPDTIDRTDBHY

not attested not anchored not stored refs pending

A criterion for the simplicity of the Lyapunov spectrum of square-tiled surfaces

Carlos Matheus, Jean-Christophe Yoccoz, Martin Moeller

arxiv:1305.2033 v4 · 2013-05-09 · 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{G72W5XQSXX4W35CPDTIDRTDBHY}

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	2026-05-18T01:12:53.414811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37f56ede12bdf96df44f1cd038cc613e0567384318c3b87d7f48e134f07a0762

Aliases

arxiv: 1305.2033 · arxiv_version: 1305.2033v4 · doi: 10.48550/arxiv.1305.2033 · pith_short_12: G72W5XQSXX4W · pith_short_16: G72W5XQSXX4W35CP · pith_short_8: G72W5XQS

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/G72W5XQSXX4W35CPDTIDRTDBHY \
  | 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: 37f56ede12bdf96df44f1cd038cc613e0567384318c3b87d7f48e134f07a0762

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c79e196ed8089f30781be699cf748df85e9308e93250620661bba9042daa3ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-05-09T08:49:24Z",
    "title_canon_sha256": "cc429065c2e291a7c496b2114763b2aa79eab6262dbf81170db3196fafee4dab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2033",
    "kind": "arxiv",
    "version": 4
  }
}