Pith Number

pith:JYP5WUQQ

pith:2006:JYP5WUQQUOOYMNRRWJ2CQNNZDM

not attested not anchored not stored refs pending

Integers with a divisor in (y,2y]

Kevin Ford

arxiv:math/0607473 v5 · 2006-07-19 · 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{JYP5WUQQUOOYMNRRWJ2CQNNZDM}

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	2026-05-18T03:30:38.566839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e1fdb5210a39d863631b2742835b91b15c569a69e96ef6f50f0f48c57cf722f

Aliases

arxiv: math/0607473 · arxiv_version: math/0607473v5 · doi: 10.48550/arxiv.math/0607473 · pith_short_12: JYP5WUQQUOOY · pith_short_16: JYP5WUQQUOOYMNRR · pith_short_8: JYP5WUQQ

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/JYP5WUQQUOOYMNRRWJ2CQNNZDM \
  | 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: 4e1fdb5210a39d863631b2742835b91b15c569a69e96ef6f50f0f48c57cf722f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ded316a042f2ae511daca862baaaa462a6fd24343efa5de2ce2c61df81c55b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2006-07-19T17:18:45Z",
    "title_canon_sha256": "1d02af2f3261e1d47f5280cf8a800035ca75729421a3723e2d1139b1465abf73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607473",
    "kind": "arxiv",
    "version": 5
  }
}