Pith Number

pith:WBUNECKS

pith:2022:WBUNECKSIMZAYEKSTZDJYUEFRJ

not attested not anchored not stored refs pending

On the Diophantine equations of the form $\lambda_1U_{n_1} + \lambda_2U_{n_2} +\ldots + \lambda_kU_{n_k} = wp_1^{z_1}p_2^{z_2} \cdots p_s^{z_s}$

Brian Ha, Eva Goedhart, Lily McBeath, Luisa Velasco

arxiv:2212.11945 v1 · 2022-12-22 · 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{WBUNECKSIMZAYEKSTZDJYUEFRJ}

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	2026-07-05T05:27:44.921104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b068d2095243320c11529e469c50858a47f582491a02850ff5fc0eac6f14d1f9

Aliases

arxiv: 2212.11945 · arxiv_version: 2212.11945v1 · doi: 10.48550/arxiv.2212.11945 · pith_short_12: WBUNECKSIMZA · pith_short_16: WBUNECKSIMZAYEKS · pith_short_8: WBUNECKS

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/WBUNECKSIMZAYEKSTZDJYUEFRJ \
  | 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: b068d2095243320c11529e469c50858a47f582491a02850ff5fc0eac6f14d1f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "285a800d4b9c57ee034d1d0729cb9c6b0ba42ad9a54772f4b7833070bb36da18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-12-22T18:24:55Z",
    "title_canon_sha256": "b8543e4162c845212a723eb704957f7d0ad8ad9fa4f4bf4223b6514bca952b10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.11945",
    "kind": "arxiv",
    "version": 1
  }
}