Pith Number

pith:U65HGIV6

pith:2018:U65HGIV6J7D2YB3E5DRCYGQK37

not attested not anchored not stored refs pending

$\alpha$-Expansions with odd partial quotients

Claire Merriman, Florin P. Boca

arxiv:1806.06166 v5 · 2018-06-16 · 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{U65HGIV6J7D2YB3E5DRCYGQK37}

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	2026-05-17T23:41:46.474669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7ba7322be4fc7ac0764e8e22c1a0adfee323583d68f65a836cfda798fc45cfc

Aliases

arxiv: 1806.06166 · arxiv_version: 1806.06166v5 · doi: 10.48550/arxiv.1806.06166 · pith_short_12: U65HGIV6J7D2 · pith_short_16: U65HGIV6J7D2YB3E · pith_short_8: U65HGIV6

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/U65HGIV6J7D2YB3E5DRCYGQK37 \
  | 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: a7ba7322be4fc7ac0764e8e22c1a0adfee323583d68f65a836cfda798fc45cfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6923018475948d5f4bbcdc2d677b30ae308f4acf3400717042413485c46fb254",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-06-16T01:38:27Z",
    "title_canon_sha256": "14aeef8617c7df59f516f9422d0c8b17e60e54bd279a0798562e0b1bc9c383e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06166",
    "kind": "arxiv",
    "version": 5
  }
}