Pith Number

pith:5UA6SOGT

pith:2012:5UA6SOGT3A7Q24ZSSDXFSWQJQN

not attested not anchored not stored refs pending

On an incomplete argument of Erdos on the irrationality of Lambert series

Joseph Vandehey

arxiv:1206.0340 v1 · 2012-06-02 · 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{5UA6SOGT3A7Q24ZSSDXFSWQJQN}

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	2026-05-18T03:54:25.203181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed01e938d3d83f0d733290ee595a098342aac0fb98fff7b6c58cee9e850e5d0c

Aliases

arxiv: 1206.0340 · arxiv_version: 1206.0340v1 · doi: 10.48550/arxiv.1206.0340 · pith_short_12: 5UA6SOGT3A7Q · pith_short_16: 5UA6SOGT3A7Q24ZS · pith_short_8: 5UA6SOGT

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/5UA6SOGT3A7Q24ZSSDXFSWQJQN \
  | 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: ed01e938d3d83f0d733290ee595a098342aac0fb98fff7b6c58cee9e850e5d0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19c13c57eab327edffb35bac1eeefd20eaee7e628e66cb347e977db0480ed782",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-02T03:11:12Z",
    "title_canon_sha256": "4b3a71125e596684697d3d5669571f3bd6266ae1e5799eaaa2cb4b45b2fb0f41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0340",
    "kind": "arxiv",
    "version": 1
  }
}