Pith Number

pith:5FIOQRJL

pith:2019:5FIOQRJLJVCQCR7V7QJ3UARVQH

not attested not anchored not stored refs pending

On the Diophantine Equation 1/a + 1/b = (q+1) / pq

Jeremiah W. Johnson

arxiv:1905.03056 v1 · 2019-05-06 · math.HO · 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{5FIOQRJLJVCQCR7V7QJ3UARVQH}

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	2026-05-17T23:46:42.996978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e950e8452b4d450147f5fc13ba023581e520c27dd229a0017321e91d6af632d0

Aliases

arxiv: 1905.03056 · arxiv_version: 1905.03056v1 · doi: 10.48550/arxiv.1905.03056 · pith_short_12: 5FIOQRJLJVCQ · pith_short_16: 5FIOQRJLJVCQCR7V · pith_short_8: 5FIOQRJL

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/5FIOQRJLJVCQCR7V7QJ3UARVQH \
  | 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: e950e8452b4d450147f5fc13ba023581e520c27dd229a0017321e91d6af632d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4959bc7ce83b0ece5b5e84347369e83bd5f8c10c98e132c342888bc3a55957e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2019-05-06T23:19:18Z",
    "title_canon_sha256": "3c5a36cc979abb742cae48ae7939b4343c14da537cb1bbc89caf57f5a1eeb971"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03056",
    "kind": "arxiv",
    "version": 1
  }
}