Pith Number

pith:ADEXS3Y3

pith:2010:ADEXS3Y3LZJOS6WCPVWTDKTAVB

not attested not anchored not stored refs pending

Density of hyperbolicity for classes of real transcendental entire functions and circle maps

Lasse Rempe-Gillen, Sebastian van Strien

arxiv:1005.4627 v5 · 2010-05-25 · 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{ADEXS3Y3LZJOS6WCPVWTDKTAVB}

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	2026-05-18T01:28:22.108539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00c9796f1b5e52e97ac27d6d31aa60a876ecc73a78ee05f266f607db3d742f12

Aliases

arxiv: 1005.4627 · arxiv_version: 1005.4627v5 · doi: 10.48550/arxiv.1005.4627 · pith_short_12: ADEXS3Y3LZJO · pith_short_16: ADEXS3Y3LZJOS6WC · pith_short_8: ADEXS3Y3

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/ADEXS3Y3LZJOS6WCPVWTDKTAVB \
  | 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: 00c9796f1b5e52e97ac27d6d31aa60a876ecc73a78ee05f266f607db3d742f12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85037786e675005ade276caace60a405b7fc821e7b3ccfe744adfe4008a2b95c",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-05-25T16:45:36Z",
    "title_canon_sha256": "67b94db11cd735748a34d95473c763f40090b1b7bfdf6692ce42d5e247014aa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4627",
    "kind": "arxiv",
    "version": 5
  }
}