Pith Number

pith:SVRZVLQ4

pith:2010:SVRZVLQ4X4F7XIBDO4YZVR5UPZ

not attested not anchored not stored refs pending

A dichotomy between uniform distributions of the Stern-Brocot and the Farey sequence

Bernd O. Stratmann, Marc Kesseb\"ohmer

arxiv:1009.1823 v1 · 2010-09-09 · 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{SVRZVLQ4X4F7XIBDO4YZVR5UPZ}

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	2026-05-18T02:49:52.493532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95639aae1cbf0bfba02377319ac7b47e7c24b0b9b7028246de13552b7fccba7a

Aliases

arxiv: 1009.1823 · arxiv_version: 1009.1823v1 · doi: 10.48550/arxiv.1009.1823 · pith_short_12: SVRZVLQ4X4F7 · pith_short_16: SVRZVLQ4X4F7XIBD · pith_short_8: SVRZVLQ4

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/SVRZVLQ4X4F7XIBDO4YZVR5UPZ \
  | 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: 95639aae1cbf0bfba02377319ac7b47e7c24b0b9b7028246de13552b7fccba7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bbcbd3d28037d948e744d0e1976621e5ea9474433b7baf285cfe5bbcd671b34",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-09T16:48:40Z",
    "title_canon_sha256": "8c9189d4ef437b164bff6e099c418b448f202efd792342b6d03ac87b87c2d775"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1823",
    "kind": "arxiv",
    "version": 1
  }
}