Pith Number

pith:5Z673WMZ

pith:2016:5Z673WMZI4MBZRLHLKJAL7FGLZ

not attested not anchored not stored refs pending

Large and moderate deviation principles for Engel continued fractions

Lei Shang, Lulu Fang

arxiv:1604.05155 v4 · 2016-04-18 · math.PR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5Z673WMZI4MBZRLHLKJAL7FGLZ}

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	2026-05-18T01:07:53.756364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee7dfdd99947181cc5675a9205fca65e56a04c9732da304cc164749d34dd52d6

Aliases

arxiv: 1604.05155 · arxiv_version: 1604.05155v4 · doi: 10.48550/arxiv.1604.05155 · pith_short_12: 5Z673WMZI4MB · pith_short_16: 5Z673WMZI4MBZRLH · pith_short_8: 5Z673WMZ

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/5Z673WMZI4MBZRLHLKJAL7FGLZ \
  | 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: ee7dfdd99947181cc5675a9205fca65e56a04c9732da304cc164749d34dd52d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75af02befb66ed0bab80c53a5e2d157fba972699621e7351316d7832ca1bd60f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-18T13:57:11Z",
    "title_canon_sha256": "a7b0c04647c68a6edd857058a776f8561808de47f10893944406b232dc6a0214"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05155",
    "kind": "arxiv",
    "version": 4
  }
}