Pith Number

pith:VU2K2Z6W

pith:2005:VU2K2Z6W5YUX6EY56TOQKR2336

not attested not anchored not stored refs pending

A distributional limit law for the continued fraction digit sum

Marc Kesseb\"ohmer, Mehdi Slassi

arxiv:math/0509559 v2 · 2005-09-23 · math.NT · 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{VU2K2Z6W5YUX6EY56TOQKR2336}

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	2026-05-18T04:32:35.389631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad34ad67d6ee297f131df4dd05475bdfa3a6a9080dbe353348e402bb5a5247ec

Aliases

arxiv: math/0509559 · arxiv_version: math/0509559v2 · doi: 10.48550/arxiv.math/0509559 · pith_short_12: VU2K2Z6W5YUX · pith_short_16: VU2K2Z6W5YUX6EY5 · pith_short_8: VU2K2Z6W

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/VU2K2Z6W5YUX6EY56TOQKR2336 \
  | 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: ad34ad67d6ee297f131df4dd05475bdfa3a6a9080dbe353348e402bb5a5247ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "091093d535f803246867ee50273922222976446e7ac8d4d8ac85bff682d905c4",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-09-23T14:55:30Z",
    "title_canon_sha256": "88b296b9a7a21a19078af26d9152dd8f66808b1ed929ca85fa86901fb31e3d75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509559",
    "kind": "arxiv",
    "version": 2
  }
}