Pith Number

pith:UTKEQASG

pith:2013:UTKEQASG45E3QZTPR32IXBQJ7B

not attested not anchored not stored refs pending

Uniform lower bound for the least common multiple of a polynomial sequence

Chunlin Wang, Guoyou Qian, Shaofang Hong, Yuanyuan Luo

arxiv:1308.6458 v2 · 2013-08-29 · 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{UTKEQASG45E3QZTPR32IXBQJ7B}

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	2026-05-18T03:06:32.383854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4d4480246e749b8666f8ef48b8609f86830e3462e08e51d68c9fd054db1c1be

Aliases

arxiv: 1308.6458 · arxiv_version: 1308.6458v2 · doi: 10.48550/arxiv.1308.6458 · pith_short_12: UTKEQASG45E3 · pith_short_16: UTKEQASG45E3QZTP · pith_short_8: UTKEQASG

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/UTKEQASG45E3QZTPR32IXBQJ7B \
  | 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: a4d4480246e749b8666f8ef48b8609f86830e3462e08e51d68c9fd054db1c1be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33da840cea659cb06562b99aa9eb74124340fa24874a6236bfd43a13bd4ba3d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-29T13:23:07Z",
    "title_canon_sha256": "e5d8b60748a6192dfcc08b824f247549ec865e6f89af1086d7a409e34851be0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6458",
    "kind": "arxiv",
    "version": 2
  }
}