Pith Number

pith:TI7TKBK7

pith:2016:TI7TKBK7RJ7XX5GNOM3CHQRACV

not attested not anchored not stored refs pending

Squarefree smooth numbers and Euclidean prime generators

Andrew R. Booker, Carl Pomerance

arxiv:1607.01557 v4 · 2016-07-06 · 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{TI7TKBK7RJ7XX5GNOM3CHQRACV}

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	2026-05-18T00:46:49.299905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a3f35055f8a7f7bf4cd733623c2201558a8c618f86d934653f302d5f549e760

Aliases

arxiv: 1607.01557 · arxiv_version: 1607.01557v4 · doi: 10.48550/arxiv.1607.01557 · pith_short_12: TI7TKBK7RJ7X · pith_short_16: TI7TKBK7RJ7XX5GN · pith_short_8: TI7TKBK7

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/TI7TKBK7RJ7XX5GNOM3CHQRACV \
  | 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: 9a3f35055f8a7f7bf4cd733623c2201558a8c618f86d934653f302d5f549e760

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5363d96d491c8d8d2d2200672228134476cf30ecff380a0f9306a76ad62b9880",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-06T11:00:56Z",
    "title_canon_sha256": "f408c99ef15285848efb1a4200e2e4e1c465c8beba714598d4dc17a7c5e72b94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01557",
    "kind": "arxiv",
    "version": 4
  }
}