Pith Number

pith:Q57OHUAL

pith:2013:Q57OHUALLZPQVN2NOXGRZ3EAJQ

not attested not anchored not stored refs pending

Diophantine approximation of the orbit of 1 in the dynamical system of bete expansions

Baowei Wang, Bing Li, Jun Wu, Tomas Persson

arxiv:1301.3595 v2 · 2013-01-16 · 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{Q57OHUALLZPQVN2NOXGRZ3EAJQ}

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	2026-05-18T03:30:27.528341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

877ee3d00b5e5f0ab74d75cd1cec804c198dbd5f306dcba867378680f3537fd4

Aliases

arxiv: 1301.3595 · arxiv_version: 1301.3595v2 · doi: 10.48550/arxiv.1301.3595 · pith_short_12: Q57OHUALLZPQ · pith_short_16: Q57OHUALLZPQVN2N · pith_short_8: Q57OHUAL

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/Q57OHUALLZPQVN2NOXGRZ3EAJQ \
  | 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: 877ee3d00b5e5f0ab74d75cd1cec804c198dbd5f306dcba867378680f3537fd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b162658f46f01b112db4d239f7bdbdaa559d020eecda7e8f777104c8d2cd424",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-01-16T06:16:55Z",
    "title_canon_sha256": "38072c4ddf01ce67dcb43d4a9855ed11f041a169f1465e69bba2024f399d896a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3595",
    "kind": "arxiv",
    "version": 2
  }
}