Pith Number

pith:JX6PIULC

pith:2008:JX6PIULCSTPPTZRDB4KYGQBPXK

not attested not anchored not stored refs pending

Dynamics of postcritically bounded polynomial semigroups I: connected components of the Julia sets

Hiroki Sumi

arxiv:0811.3664 v8 · 2008-11-22 · math.DS · math.CV · math.GT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JX6PIULCSTPPTZRDB4KYGQBPXK}

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	2026-05-18T04:31:22.790510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dfcf4516294def9e6230f1583402fbaa27b1ad002b97f52a5e64478fa7e8d95

Aliases

arxiv: 0811.3664 · arxiv_version: 0811.3664v8 · doi: 10.48550/arxiv.0811.3664 · pith_short_12: JX6PIULCSTPP · pith_short_16: JX6PIULCSTPPTZRD · pith_short_8: JX6PIULC

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/JX6PIULCSTPPTZRDB4KYGQBPXK \
  | 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: 4dfcf4516294def9e6230f1583402fbaa27b1ad002b97f52a5e64478fa7e8d95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97fe256079ee0cbeec5f0c9926e76fea509461fbcf18252e8a356a5a138144b4",
    "cross_cats_sorted": [
      "math.CV",
      "math.GT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-11-22T07:44:09Z",
    "title_canon_sha256": "9fa16af1e72720b3b3be7775add9c0226b638ea213117c0970c15ef0872c7c6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.3664",
    "kind": "arxiv",
    "version": 8
  }
}