Pith Number

pith:CFZQ35RU

pith:2019:CFZQ35RU7G6U6O2NDQAH3EGDPO

not attested not anchored not stored refs pending

On the largest prime factor of $n^2+1$

Jori Merikoski

arxiv:1908.08816 v3 · 2019-08-23 · 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{CFZQ35RU7G6U6O2NDQAH3EGDPO}

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	2026-07-05T01:48:06.313943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11730df634f9bd4f3b4d1c007d90c37b8f31e6753e3f134d293117d01aacb8a8

Aliases

arxiv: 1908.08816 · arxiv_version: 1908.08816v3 · doi: 10.48550/arxiv.1908.08816 · pith_short_12: CFZQ35RU7G6U · pith_short_16: CFZQ35RU7G6U6O2N · pith_short_8: CFZQ35RU

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/CFZQ35RU7G6U6O2NDQAH3EGDPO \
  | 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: 11730df634f9bd4f3b4d1c007d90c37b8f31e6753e3f134d293117d01aacb8a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aad8ef1754a15ca148b8a541a382b8044d58cbaec60ad10b6f2812167d5a017",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-23T13:21:57Z",
    "title_canon_sha256": "1b2752f053455ab47237012ed1ad7e12aac08c109068e4ac04f7eafa94d58997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08816",
    "kind": "arxiv",
    "version": 3
  }
}