Pith Number

pith:ASDT5MDZ

pith:2011:ASDT5MDZPIWOIBDFMO4TRS7T26

not attested not anchored not stored refs pending

The least common multiple of a sequence of products of linear polynomials

Guoyou Qian, Qianrong Tan, Shaofang Hong

arxiv:1108.0162 v2 · 2011-07-31 · 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{ASDT5MDZPIWOIBDFMO4TRS7T26}

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	2026-05-18T03:52:51.194438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04873eb0797a2ce4046563b938cbf3d79ae62b43bfe762da2cb328494a5af155

Aliases

arxiv: 1108.0162 · arxiv_version: 1108.0162v2 · doi: 10.48550/arxiv.1108.0162 · pith_short_12: ASDT5MDZPIWO · pith_short_16: ASDT5MDZPIWOIBDF · pith_short_8: ASDT5MDZ

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/ASDT5MDZPIWOIBDFMO4TRS7T26 \
  | 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: 04873eb0797a2ce4046563b938cbf3d79ae62b43bfe762da2cb328494a5af155

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1d8c9cb21950bda38007579a4c9619be1821aa22cadb234984809c3a195eb21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-31T10:37:22Z",
    "title_canon_sha256": "0861407c9a6a024b95da4c45bf2fc9a2022597b7630b8c1ef23e8a12c8de7c87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0162",
    "kind": "arxiv",
    "version": 2
  }
}