Pith Number

pith:2ECC266Y

pith:2009:2ECC266YK3I6EPP6B7OCJ5W7GR

not attested not anchored not stored refs pending

About statistics of periods of continued fractions of quadratic irrationalities

E.Yu. Lerner

arxiv:0904.0616 v1 · 2009-04-03 · 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{2ECC266YK3I6EPP6B7OCJ5W7GR}

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	2026-05-18T03:51:36.302694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1042d7bd856d1e23dfe0fdc24f6df346033d3c3a1fffea0e12d44866f66b481

Aliases

arxiv: 0904.0616 · arxiv_version: 0904.0616v1 · doi: 10.48550/arxiv.0904.0616 · pith_short_12: 2ECC266YK3I6 · pith_short_16: 2ECC266YK3I6EPP6 · pith_short_8: 2ECC266Y

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/2ECC266YK3I6EPP6B7OCJ5W7GR \
  | 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: d1042d7bd856d1e23dfe0fdc24f6df346033d3c3a1fffea0e12d44866f66b481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb2a4cd46a9bdf73ca00c47756b6a582c3c4194b4813d65049efcd85bb9eec30",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-04-03T16:33:55Z",
    "title_canon_sha256": "80e5154808ea7e322795eaaa2bc46062e9fa265214e618bb567a5ca0984e84d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0616",
    "kind": "arxiv",
    "version": 1
  }
}