Pith Number

pith:T7BJW2B7

pith:2011:T7BJW2B7DE2LE6QRQAUFQ4GQCZ

not attested not anchored not stored refs pending

Hyperbolic entire functions with full hyperbolic dimension and approximation by Eremenko-Lyubich functions

Lasse Rempe-Gillen

arxiv:1106.3439 v3 · 2011-06-17 · math.CV · 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{T7BJW2B7DE2LE6QRQAUFQ4GQCZ}

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	2026-05-18T02:37:45.049426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fc29b683f1934b27a1180285870d0166576e1bde3e6d5b3ab45de93ffda8366

Aliases

arxiv: 1106.3439 · arxiv_version: 1106.3439v3 · doi: 10.48550/arxiv.1106.3439 · pith_short_12: T7BJW2B7DE2L · pith_short_16: T7BJW2B7DE2LE6QR · pith_short_8: T7BJW2B7

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/T7BJW2B7DE2LE6QRQAUFQ4GQCZ \
  | 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: 9fc29b683f1934b27a1180285870d0166576e1bde3e6d5b3ab45de93ffda8366

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a697a07c3393716daeebb4c840d0aee195701b80d20bb95af5c90fcf53e2870",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-06-17T10:42:51Z",
    "title_canon_sha256": "5ba26b965e5a3c2dc094e732a7f66e14d995b942304b1b8a842ba3f51ac64bc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3439",
    "kind": "arxiv",
    "version": 3
  }
}