Pith Number

pith:NCWYHB5K

pith:2026:NCWYHB5KPIKQAS3G4WFKKFIJSM

not attested not anchored not stored refs pending

Covering systems where the prime divisors of all moduli are only $2$, $3$, or $5$

Jonah Klein, Joshua Harrington, Joshua Lowrance, Ognian Trifonov

arxiv:2605.18644 v1 · 2026-05-18 · 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{NCWYHB5KPIKQAS3G4WFKKFIJSM}

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	2026-05-20T00:06:12.536703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68ad8387aa7a15004b66e58aa51509933175b3369348f9003f90919e4d4fcd94

Aliases

arxiv: 2605.18644 · arxiv_version: 2605.18644v1 · doi: 10.48550/arxiv.2605.18644 · pith_short_12: NCWYHB5KPIKQ · pith_short_16: NCWYHB5KPIKQAS3G · pith_short_8: NCWYHB5K

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/NCWYHB5KPIKQAS3G4WFKKFIJSM \
  | 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: 68ad8387aa7a15004b66e58aa51509933175b3369348f9003f90919e4d4fcd94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be8371a20069eacc8f71e5ccebd9f06d9f699e6411dff3dc41f66f2133e77dcf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-18T16:51:26Z",
    "title_canon_sha256": "820725a3250158ed1828cd4aaba096d5196ca7138837ed4e792031e1c96802bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18644",
    "kind": "arxiv",
    "version": 1
  }
}