Pith Number

pith:26DJURBQ

pith:2024:26DJURBQQKCV7UCWYCZCRVJAPR

not attested not anchored not stored refs pending

Primes of the form $p^2 + nq^2$

Ben Green, Mehtaab Sawhney

arxiv:2410.04189 v3 · 2024-10-05 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26DJURBQQKCV7UCWYCZCRVJAPR}

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.

Cited by

1 paper in Pith

On polynomial progressions via transference

Receipt and verification

First computed	2026-06-09T01:05:03.836201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7869a443082855fd056c0b228d5207c5a300cfdbd6968c761d529a3f745fe04

Aliases

arxiv: 2410.04189 · arxiv_version: 2410.04189v3 · doi: 10.48550/arxiv.2410.04189 · pith_short_12: 26DJURBQQKCV · pith_short_16: 26DJURBQQKCV7UCW · pith_short_8: 26DJURBQ

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/26DJURBQQKCV7UCWYCZCRVJAPR \
  | 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: d7869a443082855fd056c0b228d5207c5a300cfdbd6968c761d529a3f745fe04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b37e2d9210155f3ab6a90b4657799802b6d91f8487372d830feab37bfd46edc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-10-05T15:08:03Z",
    "title_canon_sha256": "2bc1e904f01365f0d9cc4d24b97800bda0b8e372ded1bdb28a337b214aaec0f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.04189",
    "kind": "arxiv",
    "version": 3
  }
}