Pith Number

pith:XZRAIPD3

pith:2016:XZRAIPD3IYLRZHZTJQNHCBPSYT

not attested not anchored not stored refs pending

Limit theorems related to beta-expansion and continued fraction expansion

Bing Li, Lulu Fang, Min Wu

arxiv:1601.02202 v1 · 2016-01-10 · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZRAIPD3IYLRZHZTJQNHCBPSYT}

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	2026-05-18T01:11:35.116236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be62043c7b46171c9f334c1a7105f2c4e874502421844c813676fd8a26e5ec1a

Aliases

arxiv: 1601.02202 · arxiv_version: 1601.02202v1 · doi: 10.48550/arxiv.1601.02202 · pith_short_12: XZRAIPD3IYLR · pith_short_16: XZRAIPD3IYLRZHZT · pith_short_8: XZRAIPD3

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/XZRAIPD3IYLRZHZTJQNHCBPSYT \
  | 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: be62043c7b46171c9f334c1a7105f2c4e874502421844c813676fd8a26e5ec1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf28aca1faf11abb5e0482981fffd6c6962121bdc9f1bb2eefbb9fe457fbe323",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-10T11:52:40Z",
    "title_canon_sha256": "3c27ba0ffc88a4c78a39c06773288686cedf85d87c1f897b51a46d10e90d687b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02202",
    "kind": "arxiv",
    "version": 1
  }
}