Pith Number

pith:WVC6SO63

pith:2012:WVC6SO63DEYYGQE7GKNA3T7MVP

not attested not anchored not stored refs pending

On primes of the form $n_1^u + n_2^v + k$, on average

Timothy Foo

arxiv:1202.1393 v5 · 2012-02-07 · 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{WVC6SO63DEYYGQE7GKNA3T7MVP}

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	2026-05-18T03:44:13.581213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b545e93bdb193183409f329a0dcfecabedb1860f32145e111aafec6e38f7228a

Aliases

arxiv: 1202.1393 · arxiv_version: 1202.1393v5 · doi: 10.48550/arxiv.1202.1393 · pith_short_12: WVC6SO63DEYY · pith_short_16: WVC6SO63DEYYGQE7 · pith_short_8: WVC6SO63

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/WVC6SO63DEYYGQE7GKNA3T7MVP \
  | 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: b545e93bdb193183409f329a0dcfecabedb1860f32145e111aafec6e38f7228a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "833f3c15c6f94334d8f1b92056b74352c4b9b1c315dbe90dad92f41c468edd93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-07T10:52:17Z",
    "title_canon_sha256": "c8a04e7eb92b16bf6cb1247d1a7cc701f429d6d343314a88ee8cc547195f772b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1393",
    "kind": "arxiv",
    "version": 5
  }
}