Pith Number

pith:AVGBUM23

pith:2007:AVGBUM23FL4OQO7K2YKP7W5MA6

not attested not anchored not stored refs pending

Hyperbolic dimension of Julia sets of meromorphic maps with logarithmic tracts

Anna Zdunik, Bogus{\l}awa Karpi\'nska, Krzysztof Bara\'nski

arxiv:0711.2672 v1 · 2007-11-16 · 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{AVGBUM23FL4OQO7K2YKP7W5MA6}

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	2026-05-18T04:21:21.626368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

054c1a335b2af8e83bead614ffdbac07bb2e1127da959a5f065a5818e2c5ec74

Aliases

arxiv: 0711.2672 · arxiv_version: 0711.2672v1 · doi: 10.48550/arxiv.0711.2672 · pith_short_12: AVGBUM23FL4O · pith_short_16: AVGBUM23FL4OQO7K · pith_short_8: AVGBUM23

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/AVGBUM23FL4OQO7K2YKP7W5MA6 \
  | 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: 054c1a335b2af8e83bead614ffdbac07bb2e1127da959a5f065a5818e2c5ec74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5143ca2b42e7973e2492dbcbd859fee70892f072f7f69959f2e081b8a7f4e397",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2007-11-16T20:16:54Z",
    "title_canon_sha256": "753e8a66a47cbe3b331dadc933acb1e8d2e165bd303e2fa4be3984d987e59202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.2672",
    "kind": "arxiv",
    "version": 1
  }
}