Pith Number

pith:JJEU5PAN

pith:2012:JJEU5PAN5NZBHUXKNJ2DRAEDWC

not attested not anchored not stored refs pending

Asymptotic behavior of the least common multiple of consecutive arithmetic progression terms

Guoyou Qian, Shaofang Hong

arxiv:1204.5415 v2 · 2012-04-24 · 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{JJEU5PAN5NZBHUXKNJ2DRAEDWC}

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	2026-05-18T03:27:11.485248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a494ebc0deb7213d2ea6a74388083b0ba9ecf7b886b43f7130ee9f834afea28

Aliases

arxiv: 1204.5415 · arxiv_version: 1204.5415v2 · doi: 10.48550/arxiv.1204.5415 · pith_short_12: JJEU5PAN5NZB · pith_short_16: JJEU5PAN5NZBHUXK · pith_short_8: JJEU5PAN

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/JJEU5PAN5NZBHUXKNJ2DRAEDWC \
  | 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: 4a494ebc0deb7213d2ea6a74388083b0ba9ecf7b886b43f7130ee9f834afea28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ce2d00abfbdded3a5e12a92d7e86c8d537286db416a5c6dd9044b3ece2570b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-24T15:41:02Z",
    "title_canon_sha256": "24ec974a1aec66ad24042b1eee0bfd3aacbb42c0c0bef30678c70d25f3f9bc29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5415",
    "kind": "arxiv",
    "version": 2
  }
}