Pith Number

pith:XIGRKR47

pith:2009:XIGRKR47YC7ERHZH6NPQYC55DF

not attested not anchored not stored refs pending

The least common multiple of consecutive arithmetic progression terms

Guoyou Qian, Shaofang Hong

arxiv:0903.0530 v3 · 2009-03-03 · 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{XIGRKR47YC7ERHZH6NPQYC55DF}

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	2026-05-18T04:16:32.427195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba0d15479fc0be489f27f35f0c0bbd1963c512dc576c910bed63e7655b87d38a

Aliases

arxiv: 0903.0530 · arxiv_version: 0903.0530v3 · doi: 10.48550/arxiv.0903.0530 · pith_short_12: XIGRKR47YC7E · pith_short_16: XIGRKR47YC7ERHZH · pith_short_8: XIGRKR47

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/XIGRKR47YC7ERHZH6NPQYC55DF \
  | 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: ba0d15479fc0be489f27f35f0c0bbd1963c512dc576c910bed63e7655b87d38a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6838bff378a307818ac8c1cc1cca061c591146c9ca124ed6c8f9a27f6637a14e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-03-03T13:31:38Z",
    "title_canon_sha256": "52577f4140e3b4d23918e72df8a5f7ed26af30821a072a21d6cf5d7bf5925cbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0530",
    "kind": "arxiv",
    "version": 3
  }
}