Pith Number

pith:L4U7DN7E

pith:2026:L4U7DN7EKXP6I4MISEMMKGQ6CD

not attested not anchored not stored refs pending

Three Brillhart-Lehmer-Selfridge primality proofs for Wagstaff numbers

Alexey Dolotov

arxiv:2605.18555 v1 · 2026-05-18 · 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{L4U7DN7EKXP6I4MISEMMKGQ6CD}

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	2026-05-20T00:06:07.515723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f29f1b7e455dfe471889118c51a1e10f36f796099ce9f849787acf04e330dea

Aliases

arxiv: 2605.18555 · arxiv_version: 2605.18555v1 · doi: 10.48550/arxiv.2605.18555 · pith_short_12: L4U7DN7EKXP6 · pith_short_16: L4U7DN7EKXP6I4MI · pith_short_8: L4U7DN7E

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/L4U7DN7EKXP6I4MISEMMKGQ6CD \
  | 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: 5f29f1b7e455dfe471889118c51a1e10f36f796099ce9f849787acf04e330dea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae14e5b4c965bad8507a82456fc7f0448b9061eed1710dec05a0c779acb94b2c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-18T15:35:56Z",
    "title_canon_sha256": "06ffef627d8313a088f3528b5268b080d84a4e2be4f2daf06d6edac2bd79f5d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18555",
    "kind": "arxiv",
    "version": 1
  }
}