Pith Number

pith:ID7IZ2AZ

pith:2007:ID7IZ2AZJDNI3XCAWTXYQ23WBI

not attested not anchored not stored refs pending

Dynamical properties and structure of Julia sets of postcritically bounded polynomial semigroups

Hiroki Sumi, Rich Stankewitz

arxiv:0708.3187 v4 · 2007-08-23 · 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{ID7IZ2AZJDNI3XCAWTXYQ23WBI}

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	2026-05-18T04:22:32.071560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40fe8ce81948da8ddc40b4ef886b760a292914d723dace42a2c383d17b6c810a

Aliases

arxiv: 0708.3187 · arxiv_version: 0708.3187v4 · doi: 10.48550/arxiv.0708.3187 · pith_short_12: ID7IZ2AZJDNI · pith_short_16: ID7IZ2AZJDNI3XCA · pith_short_8: ID7IZ2AZ

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/ID7IZ2AZJDNI3XCAWTXYQ23WBI \
  | 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: 40fe8ce81948da8ddc40b4ef886b760a292914d723dace42a2c383d17b6c810a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5a9de57f5966d49a7cfbc31cfe79eda421a6a5c6638630789499b19c7da663e",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2007-08-23T15:15:19Z",
    "title_canon_sha256": "c49ec38b5dc7869c3bc376fda201fe99cef2ad39d934bb9da8527b2c2bd83de6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.3187",
    "kind": "arxiv",
    "version": 4
  }
}