Pith Number

pith:VCXI7WVS

pith:2009:VCXI7WVS22D62HTHGHOSCR5PPT

not attested not anchored not stored refs pending

Bowen Parameter and Hausdorff Dimension for Expanding Rational Semigroups

Hiroki Sumi, Mariusz Urbanski

arxiv:0911.3727 v6 · 2009-11-19 · 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{VCXI7WVS22D62HTHGHOSCR5PPT}

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	2026-05-18T03:46:47.938566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8ae8fdab2d687ed1e6731dd2147af7cd5234179793655b9b81c840a64f6cfd9

Aliases

arxiv: 0911.3727 · arxiv_version: 0911.3727v6 · doi: 10.48550/arxiv.0911.3727 · pith_short_12: VCXI7WVS22D6 · pith_short_16: VCXI7WVS22D62HTH · pith_short_8: VCXI7WVS

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/VCXI7WVS22D62HTHGHOSCR5PPT \
  | 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: a8ae8fdab2d687ed1e6731dd2147af7cd5234179793655b9b81c840a64f6cfd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2847e545e44ec8d626a7560020c41c402b2c2708ee24d265a7d7e4fcb81eb581",
    "cross_cats_sorted": [
      "math.CV",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-11-19T09:18:15Z",
    "title_canon_sha256": "ceb1031542ab68f619f84213ba6d073e0147502e80e7658a1c739a7d8e01fcd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3727",
    "kind": "arxiv",
    "version": 6
  }
}