Pith Number

pith:CBIHKNAS

pith:2010:CBIHKNAS5M3IWMJSQIPJFRZJMJ

not attested not anchored not stored refs pending

The least common multiple of a quadratic sequence

Javier Cilleruelo

arxiv:1001.3438 v1 · 2010-01-20 · 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{CBIHKNAS5M3IWMJSQIPJFRZJMJ}

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	2026-05-17T23:53:37.032019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1050753412eb368b3132821e92c729624b54869105dc401d18467d0705710898

Aliases

arxiv: 1001.3438 · arxiv_version: 1001.3438v1 · doi: 10.48550/arxiv.1001.3438 · pith_short_12: CBIHKNAS5M3I · pith_short_16: CBIHKNAS5M3IWMJS · pith_short_8: CBIHKNAS

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/CBIHKNAS5M3IWMJSQIPJFRZJMJ \
  | 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: 1050753412eb368b3132821e92c729624b54869105dc401d18467d0705710898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04597663989df483356366a247fcad15aabe3aae8f2e196b8ef575e0b8120121",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-01-20T00:51:15Z",
    "title_canon_sha256": "7884ab57ad8d3dec3bcf48e614af54cac654b0b6524c1ad826740b2ae7a4be85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3438",
    "kind": "arxiv",
    "version": 1
  }
}