Pith Number

pith:MKPONVEA

pith:2010:MKPONVEAEIYSSM5UBXWP46X2AT

not attested not anchored not stored refs pending

Automatic continued fractions are transcendental or quadratic

Yann Bugeaud

arxiv:1012.1709 v2 · 2010-12-08 · 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{MKPONVEAEIYSSM5UBXWP46X2AT}

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	2026-05-18T03:40:14.596565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

629ee6d48022312933b40decfe7afa04fdfcc790d2f6e4b02a3673108e0d2044

Aliases

arxiv: 1012.1709 · arxiv_version: 1012.1709v2 · doi: 10.48550/arxiv.1012.1709 · pith_short_12: MKPONVEAEIYS · pith_short_16: MKPONVEAEIYSSM5U · pith_short_8: MKPONVEA

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/MKPONVEAEIYSSM5UBXWP46X2AT \
  | 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: 629ee6d48022312933b40decfe7afa04fdfcc790d2f6e4b02a3673108e0d2044

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1f259227e09201ee5bb75ccde536360d789bc20def943d365e4d9b9a41716df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-08T09:17:47Z",
    "title_canon_sha256": "bababfc276215ae1741945cfed073281654248d0b22d7335df06ef62af30aef4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1709",
    "kind": "arxiv",
    "version": 2
  }
}