Pith Number

pith:4PTNJSKC

pith:2012:4PTNJSKCYH3WZKH3C6XQBYCJBP

not attested not anchored not stored refs pending

On the Hausdorff dimension of Julia sets of some real polynomials

Genadi Levin, Michel Zinsmeister (MAPMO, PMC)

arxiv:1201.5186 v1 · 2012-01-25 · 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{4PTNJSKCYH3WZKH3C6XQBYCJBP}

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	2026-05-18T04:03:55.402396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3e6d4c942c1f76ca8fb17af00e0490beb7eab55ac1ad5e61d69d1ff9f1486bd

Aliases

arxiv: 1201.5186 · arxiv_version: 1201.5186v1 · doi: 10.48550/arxiv.1201.5186 · pith_short_12: 4PTNJSKCYH3W · pith_short_16: 4PTNJSKCYH3WZKH3 · pith_short_8: 4PTNJSKC

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/4PTNJSKCYH3WZKH3C6XQBYCJBP \
  | 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: e3e6d4c942c1f76ca8fb17af00e0490beb7eab55ac1ad5e61d69d1ff9f1486bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e924a69590d69f5eb68720f83946c835587a3807d22c744a4834c6b98ddeccb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-01-25T05:45:46Z",
    "title_canon_sha256": "6a7b3e722d339164fbefc9b6ae3b412d65ce80b3eec6f8238b8ba4627f31bc0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5186",
    "kind": "arxiv",
    "version": 1
  }
}