Pith Number

pith:4EK3T55W

pith:2018:4EK3T55WAPHOC3COGWEJMQLWQU

not attested not anchored not stored refs pending

Nonarchimedean quadratic Lagrange spectra and continued fractions in power series fields

Yann Bugeaud

arxiv:1804.03566 v1 · 2018-04-10 · 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{4EK3T55WAPHOC3COGWEJMQLWQU}

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	2026-05-18T00:18:47.712583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e115b9f7b603cee16c4e3588964176850608bc9929ec29333f2b82f18d34c15e

Aliases

arxiv: 1804.03566 · arxiv_version: 1804.03566v1 · doi: 10.48550/arxiv.1804.03566 · pith_short_12: 4EK3T55WAPHO · pith_short_16: 4EK3T55WAPHOC3CO · pith_short_8: 4EK3T55W

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/4EK3T55WAPHOC3COGWEJMQLWQU \
  | 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: e115b9f7b603cee16c4e3588964176850608bc9929ec29333f2b82f18d34c15e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ff08562509631b8ba698e39ac329acbdf2321dbce2f30c9ae58f98b96d8b3b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-04-10T14:40:24Z",
    "title_canon_sha256": "90a0c86b46ed087c3ffdf37bb1c02ae062f6a344a97f61d6a4bb4433d7ea9faa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03566",
    "kind": "arxiv",
    "version": 1
  }
}