Pith Number

pith:ZF4UYTWI

pith:2012:ZF4UYTWIKZLUU6K2SXGM2NDQYH

not attested not anchored not stored refs pending

Natural boundary for the susceptibility function of generic piecewise expanding unimodal maps

David Sauzin, Stefano Marmi, Viviane Baladi

arxiv:1205.5226 v2 · 2012-05-23 · math.DS · math.CV · nlin.CD

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZF4UYTWIKZLUU6K2SXGM2NDQYH}

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	2026-05-17T23:53:18.718053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9794c4ec856574a795a95cccd3470c1c79f3973f086bba8d0bd712b37973d84

Aliases

arxiv: 1205.5226 · arxiv_version: 1205.5226v2 · doi: 10.48550/arxiv.1205.5226 · pith_short_12: ZF4UYTWIKZLU · pith_short_16: ZF4UYTWIKZLUU6K2 · pith_short_8: ZF4UYTWI

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/ZF4UYTWIKZLUU6K2SXGM2NDQYH \
  | 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: c9794c4ec856574a795a95cccd3470c1c79f3973f086bba8d0bd712b37973d84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edd315fb3092078f65a0e4723942922e3fc01e251be5061d47e14df0d7725731",
    "cross_cats_sorted": [
      "math.CV",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-05-23T17:19:24Z",
    "title_canon_sha256": "de7422a1467f2ffe524e1e2b91ba7e407d2fe31966da33ba023116d7ffc649f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5226",
    "kind": "arxiv",
    "version": 2
  }
}