Pith Number

pith:OTF3JUWN

pith:2016:OTF3JUWNNJ2EHV26APT3TYCRC6

not attested not anchored not stored refs pending

There are infinitely many elliptic Carmichael numbers

Thomas Wright

arxiv:1609.00231 v1 · 2016-09-01 · 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{OTF3JUWNNJ2EHV26APT3TYCRC6}

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	2026-05-18T00:09:20.603843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74cbb4d2cd6a7443d75e03e7b9e0511788fb5dda56c96ab78ea5112c7275c15c

Aliases

arxiv: 1609.00231 · arxiv_version: 1609.00231v1 · doi: 10.48550/arxiv.1609.00231 · pith_short_12: OTF3JUWNNJ2E · pith_short_16: OTF3JUWNNJ2EHV26 · pith_short_8: OTF3JUWN

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/OTF3JUWNNJ2EHV26APT3TYCRC6 \
  | 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: 74cbb4d2cd6a7443d75e03e7b9e0511788fb5dda56c96ab78ea5112c7275c15c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba81347e41909508810c212de9fff1a7f742a876a36a1695026df16c24df3a68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-01T13:40:22Z",
    "title_canon_sha256": "ba4e835ab926fdf2157da25e09559cb99622287fbced9e191e4f4c28a3133476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00231",
    "kind": "arxiv",
    "version": 1
  }
}