Pith Number

pith:OU6IZ6S3

pith:2013:OU6IZ6S35XNGJFFEUZGM7B7K7H

not attested not anchored not stored refs pending

Prevalence of non-uniform hyperbolicity at the first bifurcation of H\'enon-like families

Hiroki Takahasi

arxiv:1308.4199 v2 · 2013-08-20 · 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{OU6IZ6S35XNGJFFEUZGM7B7K7H}

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	2026-05-18T02:52:14.367905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

753c8cfa5bedda6494a4a64ccf87eaf9d09ce4dc9db24d538d3732198d751f05

Aliases

arxiv: 1308.4199 · arxiv_version: 1308.4199v2 · doi: 10.48550/arxiv.1308.4199 · pith_short_12: OU6IZ6S35XNG · pith_short_16: OU6IZ6S35XNGJFFE · pith_short_8: OU6IZ6S3

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/OU6IZ6S35XNGJFFEUZGM7B7K7H \
  | 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: 753c8cfa5bedda6494a4a64ccf87eaf9d09ce4dc9db24d538d3732198d751f05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beaf2ec67d08851803d1eb62851a6ba5915d3676c4e7fbff9e435390f89986e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-08-20T01:06:10Z",
    "title_canon_sha256": "c6b9dfed7a864bf292ce53242c3e6ca57850002af0c8ee53570fe96ca9226e69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4199",
    "kind": "arxiv",
    "version": 2
  }
}