Pith Number

pith:GDR5VXAN

pith:2019:GDR5VXAN23HCL3RSBOBPYM7DTQ

not attested not anchored not stored refs pending

On Cilleruelo's conjecture for the least common multiple of polynomial sequences

Sa'ar Zehavi, Ze\'ev Rudnick

arxiv:1902.01102 v2 · 2019-02-04 · 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{GDR5VXAN23HCL3RSBOBPYM7DTQ}

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	2026-05-17T23:48:39.509354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30e3dadc0dd6ce25ee320b82fc33e39c2b4cd502a5fdf1cff58f493c91b45e87

Aliases

arxiv: 1902.01102 · arxiv_version: 1902.01102v2 · doi: 10.48550/arxiv.1902.01102 · pith_short_12: GDR5VXAN23HC · pith_short_16: GDR5VXAN23HCL3RS · pith_short_8: GDR5VXAN

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/GDR5VXAN23HCL3RSBOBPYM7DTQ \
  | 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: 30e3dadc0dd6ce25ee320b82fc33e39c2b4cd502a5fdf1cff58f493c91b45e87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3f289e2d45eb074a1ca1a7fe330764a6831f72fbda348956a1c37077f3f997f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-02-04T09:47:40Z",
    "title_canon_sha256": "b73553d27f2705c4b1ba864778a585acc96cfaea6648c6fc553f0ba633a9691f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.01102",
    "kind": "arxiv",
    "version": 2
  }
}