Pith Number

pith:ZMX4IKJ5

pith:2018:ZMX4IKJ5BFNNQZ56KDRONYMRWT

not attested not anchored not stored refs pending

On a question of Perlis and Stuart regarding arithmetic equivalence

Guillermo Mantilla-Soler

arxiv:1807.03243 v2 · 2018-07-09 · 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{ZMX4IKJ5BFNNQZ56KDRONYMRWT}

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	2026-05-17T23:49:27.656209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb2fc4293d095ad867be50e2e6e191b4edf2fd45ad3d1232ca81362349b9d01f

Aliases

arxiv: 1807.03243 · arxiv_version: 1807.03243v2 · doi: 10.48550/arxiv.1807.03243 · pith_short_12: ZMX4IKJ5BFNN · pith_short_16: ZMX4IKJ5BFNNQZ56 · pith_short_8: ZMX4IKJ5

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/ZMX4IKJ5BFNNQZ56KDRONYMRWT \
  | 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: cb2fc4293d095ad867be50e2e6e191b4edf2fd45ad3d1232ca81362349b9d01f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc6ee34713384590b97cd0eae50c0af1d3f5ca91429ccad3cff5b7c02b685134",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-09T15:41:55Z",
    "title_canon_sha256": "c8082c378d66e5f3a64bea87cb0f65a19a40a493aaa907e6c554f8b7710e2f3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03243",
    "kind": "arxiv",
    "version": 2
  }
}