Pith Number

pith:VGBBEUOY

pith:2019:VGBBEUOYUKX3ET5PB7MLJIDIXK

not attested not anchored not stored refs pending

Some more Long Continued Fractions, I

James Mc Laughlin, Peter Zimmer

arxiv:1901.00605 v1 · 2019-01-03 · 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{VGBBEUOYUKX3ET5PB7MLJIDIXK}

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	2026-05-17T23:57:01.943867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9821251d8a2afb24faf0fd8b4a068baad112a92804c2b40d8f4e310f8b14c81

Aliases

arxiv: 1901.00605 · arxiv_version: 1901.00605v1 · doi: 10.48550/arxiv.1901.00605 · pith_short_12: VGBBEUOYUKX3 · pith_short_16: VGBBEUOYUKX3ET5P · pith_short_8: VGBBEUOY

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/VGBBEUOYUKX3ET5PB7MLJIDIXK \
  | 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: a9821251d8a2afb24faf0fd8b4a068baad112a92804c2b40d8f4e310f8b14c81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04b3111d7400c3fcbafcbd579784721ac8ce765c4816ee53ab4bbab6552a9eac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-01-03T04:17:47Z",
    "title_canon_sha256": "ace009bb422f02be78a8737fcd7546d6417436bf0ce0f484c036769f1de112aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00605",
    "kind": "arxiv",
    "version": 1
  }
}