Pith Number

pith:4HGJ2GUE

pith:2019:4HGJ2GUE7QTLTC3OBE62ABT4OV

not attested not anchored not stored refs pending

Exponential polynomials with Fatou and non-escaping sets of finite Lebesgue measure

Mareike Wolff

arxiv:1908.03037 v1 · 2019-08-08 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HGJ2GUE7QTLTC3OBE62ABT4OV}

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	2026-07-04T23:52:25.609751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1cc9d1a84fc26b98b6e093da0067c754958c7cb413824973c43edf9b5e4cffd

Aliases

arxiv: 1908.03037 · arxiv_version: 1908.03037v1 · doi: 10.48550/arxiv.1908.03037 · pith_short_12: 4HGJ2GUE7QTL · pith_short_16: 4HGJ2GUE7QTLTC3O · pith_short_8: 4HGJ2GUE

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/4HGJ2GUE7QTLTC3OBE62ABT4OV \
  | 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: e1cc9d1a84fc26b98b6e093da0067c754958c7cb413824973c43edf9b5e4cffd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d8d74e64bcb40f542cad2a7fdb82c374312d451c7a5f52af2df6190c145f06e",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-08T12:25:50Z",
    "title_canon_sha256": "1a066fc8ad8f60b06d4b9a17d4739f16413fca948ac0b2c01cc9cea89929c906"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03037",
    "kind": "arxiv",
    "version": 1
  }
}