Pith Number

pith:Y6A6YUWM

pith:2016:Y6A6YUWMJIL43FEREPSKMHGLUJ

not attested not anchored not stored refs pending

Goldbach for Gaussian, Hurwitz, Octavian and Eisenstein primes

Oliver Knill

arxiv:1606.05958 v1 · 2016-06-20 · math.NT · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6A6YUWMJIL43FEREPSKMHGLUJ}

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	2026-05-18T01:12:15.694181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c781ec52cc4a17cd949123e4a61ccba25fd591dc4c0992eeeb7ccb1644cb0691

Aliases

arxiv: 1606.05958 · arxiv_version: 1606.05958v1 · doi: 10.48550/arxiv.1606.05958 · pith_short_12: Y6A6YUWMJIL4 · pith_short_16: Y6A6YUWMJIL43FER · pith_short_8: Y6A6YUWM

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/Y6A6YUWMJIL43FEREPSKMHGLUJ \
  | 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: c781ec52cc4a17cd949123e4a61ccba25fd591dc4c0992eeeb7ccb1644cb0691

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc20e84b97459c87220c3e860a14203076f39acee5eccda2bd4ef04d39a4bc22",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-20T02:34:36Z",
    "title_canon_sha256": "5619569ff7c8ceb350da295f5063727f288ca3e428bbfa79865f789cf073c0d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05958",
    "kind": "arxiv",
    "version": 1
  }
}