Pith Number

pith:RI3OSK4X

pith:2008:RI3OSK4XQASTS77GVSRO2CAI5Q

not attested not anchored not stored refs pending

Uniformly Hyperbolic Finite-Valued SL(2,R)-Cocycles

Artur Avila, Jairo Bochi, Jean-Christophe Yoccoz

arxiv:0808.0133 v1 · 2008-08-01 · 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{RI3OSK4XQASTS77GVSRO2CAI5Q}

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	2026-05-18T04:27:58.366016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a36e92b978025397fe6aca2ed0808ec23714debd792193f403a434fcdb33952

Aliases

arxiv: 0808.0133 · arxiv_version: 0808.0133v1 · doi: 10.48550/arxiv.0808.0133 · pith_short_12: RI3OSK4XQAST · pith_short_16: RI3OSK4XQASTS77G · pith_short_8: RI3OSK4X

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/RI3OSK4XQASTS77GVSRO2CAI5Q \
  | 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: 8a36e92b978025397fe6aca2ed0808ec23714debd792193f403a434fcdb33952

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e3df36f395328ba4da5ef03e22e6e67782d2aeef67506339d6b6434f474c6d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-08-01T15:00:41Z",
    "title_canon_sha256": "9b393c310122a07bbde25fc1720891862a35627f6a1588315975766764d1a224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.0133",
    "kind": "arxiv",
    "version": 1
  }
}