Pith Number

pith:IUHMDTZ5

pith:2008:IUHMDTZ5NHRBA47ZIHIRCAAVYE

not attested not anchored not stored refs pending

Dynamics of postcritically bounded polynomial semigroups III: classification of semi-hyperbolic semigroups and random Julia sets which are Jordan curves but not quasicircles

Hiroki Sumi

arxiv:0811.4536 v5 · 2008-11-28 · math.DS · math.CV · 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{IUHMDTZ5NHRBA47ZIHIRCAAVYE}

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	2026-05-18T04:31:22.780050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

450ec1cf3d69e21073f941d1110015c13ea4f4ea90eedcf80626264201e4e75b

Aliases

arxiv: 0811.4536 · arxiv_version: 0811.4536v5 · doi: 10.48550/arxiv.0811.4536 · pith_short_12: IUHMDTZ5NHRB · pith_short_16: IUHMDTZ5NHRBA47Z · pith_short_8: IUHMDTZ5

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/IUHMDTZ5NHRBA47ZIHIRCAAVYE \
  | 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: 450ec1cf3d69e21073f941d1110015c13ea4f4ea90eedcf80626264201e4e75b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80e100ad29cfddb08f3c7def250b2a6cd630686756db03667432253d5af1a825",
    "cross_cats_sorted": [
      "math.CV",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-11-28T03:21:31Z",
    "title_canon_sha256": "56fb028f6ceed4b67e77ebeb6f151a116545f280497e2eb5cc882bf008036c2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4536",
    "kind": "arxiv",
    "version": 5
  }
}