Pith Number

pith:ZBSCVQ6T

pith:2014:ZBSCVQ6T47NZ65KRXFFSBLU2E2

not attested not anchored not stored refs pending

A function to calculate all relative prime numbers up to the product of the first n primes

Matthias Schmitt

arxiv:1404.0706 v4 · 2014-04-02 · 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{ZBSCVQ6T47NZ65KRXFFSBLU2E2}

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	2026-05-18T02:51:22.780665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8642ac3d3e7db9f7551b94b20ae9a26bb60f44babd08d5c96435eb2a4432217

Aliases

arxiv: 1404.0706 · arxiv_version: 1404.0706v4 · doi: 10.48550/arxiv.1404.0706 · pith_short_12: ZBSCVQ6T47NZ · pith_short_16: ZBSCVQ6T47NZ65KR · pith_short_8: ZBSCVQ6T

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/ZBSCVQ6T47NZ65KRXFFSBLU2E2 \
  | 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: c8642ac3d3e7db9f7551b94b20ae9a26bb60f44babd08d5c96435eb2a4432217

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7027c734a44eeba020783ca8cc2bc374d447981cfe43547a640789d5b4343dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-02T21:00:15Z",
    "title_canon_sha256": "34779df6c05474c83840e8de23693af11d64b52383d2982ed9c342e508340d49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0706",
    "kind": "arxiv",
    "version": 4
  }
}