Pith Number

pith:OFYVPRHQ

pith:2015:OFYVPRHQ5IYLDU3I2ZQAAH3C5N

not attested not anchored not stored refs pending

A short proof that the number of division steps in the Euclidean algorithm is normally distributed

Ian D. Morris

arxiv:1502.07616 v1 · 2015-02-26 · math.DS · 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{OFYVPRHQ5IYLDU3I2ZQAAH3C5N}

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	2026-05-18T02:26:03.284028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

717157c4f0ea30b1d368d660001f62eb6e740b343721ca218108eec2ebbe91fe

Aliases

arxiv: 1502.07616 · arxiv_version: 1502.07616v1 · doi: 10.48550/arxiv.1502.07616 · pith_short_12: OFYVPRHQ5IYL · pith_short_16: OFYVPRHQ5IYLDU3I · pith_short_8: OFYVPRHQ

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/OFYVPRHQ5IYLDU3I2ZQAAH3C5N \
  | 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: 717157c4f0ea30b1d368d660001f62eb6e740b343721ca218108eec2ebbe91fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d104db9e5c82de1df1064e4ed4db2de147c2ec1e078733f03052bbbb6138f7b7",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-02-26T16:11:43Z",
    "title_canon_sha256": "678600e52950b2c6458c25a6651cd5cd7ca17bbe510688e05a0a76a016534eed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07616",
    "kind": "arxiv",
    "version": 1
  }
}