Pith Number

pith:2GBETA3U

pith:2017:2GBETA3UDKLZBYRSYK2MQFHAAS

not attested not anchored not stored refs pending

On the multipliers of repelling periodic points of entire functions

Dan Liu, Walter Bergweiler

arxiv:1701.06858 v2 · 2017-01-24 · math.CV · math.DS

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GBETA3UDKLZBYRSYK2MQFHAAS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:18:53.947158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1824983741a9790e232c2b4c814e004838687fb84098ed60acd37a22010a32c

Aliases

arxiv: 1701.06858 · arxiv_version: 1701.06858v2 · doi: 10.48550/arxiv.1701.06858 · pith_short_12: 2GBETA3UDKLZ · pith_short_16: 2GBETA3UDKLZBYRS · pith_short_8: 2GBETA3U

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/2GBETA3UDKLZBYRSYK2MQFHAAS \
  | 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: d1824983741a9790e232c2b4c814e004838687fb84098ed60acd37a22010a32c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a6de1b1bf11e55ddc97baf1cde69e35ab8227be6c2c7dd121fcd9f477447328",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-01-24T13:13:22Z",
    "title_canon_sha256": "3c0e96c30b144a9919a6c2309f37d97242d7cffa9b21df80377dd82d8dabef34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06858",
    "kind": "arxiv",
    "version": 2
  }
}