Pith Number

pith:WZBJ4JWX

pith:2010:WZBJ4JWX2PUKYZFRF7SKINSGDN

not attested not anchored not stored refs pending

Bowen's formula for meromorphic functions

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

arxiv:1007.3855 v2 · 2010-07-22 · 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{WZBJ4JWX2PUKYZFRF7SKINSGDN}

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	2026-05-18T03:51:14.546467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6429e26d7d3e8ac64b12fe4a436461b7978f6e68acf2e4ec543fe10892c5ffd

Aliases

arxiv: 1007.3855 · arxiv_version: 1007.3855v2 · doi: 10.48550/arxiv.1007.3855 · pith_short_12: WZBJ4JWX2PUK · pith_short_16: WZBJ4JWX2PUKYZFR · pith_short_8: WZBJ4JWX

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/WZBJ4JWX2PUKYZFRF7SKINSGDN \
  | 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: b6429e26d7d3e8ac64b12fe4a436461b7978f6e68acf2e4ec543fe10892c5ffd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd489a393ddd24d5263dd0f314a80e715d3bd08f21492be5eefaabfea9eeee0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-07-22T11:08:28Z",
    "title_canon_sha256": "c04cdc7021c4dd23ba2667b7a0dc08d5d202cb530a665bf0217a13f57019ea94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3855",
    "kind": "arxiv",
    "version": 2
  }
}