Pith Number

pith:VI3JKHNB

pith:2018:VI3JKHNBUWXQVLAUTIDX5PGOJ2

not attested not anchored not stored refs pending

The $\beta$-transformation with a hole at 0

Charlene Kalle, Derong Kong, Niels Langeveld, Wenxia Li

arxiv:1803.07338 v1 · 2018-03-20 · 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{VI3JKHNBUWXQVLAUTIDX5PGOJ2}

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	2026-05-18T00:20:33.601229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa36951da1a5af0aac149a077ebcce4e8417200596650b37a6111df357efc555

Aliases

arxiv: 1803.07338 · arxiv_version: 1803.07338v1 · doi: 10.48550/arxiv.1803.07338 · pith_short_12: VI3JKHNBUWXQ · pith_short_16: VI3JKHNBUWXQVLAU · pith_short_8: VI3JKHNB

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/VI3JKHNBUWXQVLAUTIDX5PGOJ2 \
  | 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: aa36951da1a5af0aac149a077ebcce4e8417200596650b37a6111df357efc555

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05df6ad5d4add46365c71bd0ec09ff1bb44fce0dae8be71b6f6a7755a247a180",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-03-20T09:52:19Z",
    "title_canon_sha256": "e3200d5dc8f433e74d379ed75ff3720f0a3d2b0438714eeec7bd10397d957f50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07338",
    "kind": "arxiv",
    "version": 1
  }
}