Pith Number

pith:BXB7UK32

pith:2014:BXB7UK32YX23XLKCPTBLEJLCVR

not attested not anchored not stored refs pending

Asymptotic behavior of the least common multiple of consecutive reducible quadratic progression terms

Guoyou Qian, Shaofang Hong

arxiv:1406.6123 v1 · 2014-06-24 · 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{BXB7UK32YX23XLKCPTBLEJLCVR}

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	2026-05-18T02:49:04.030552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dc3fa2b7ac5f5bbad427cc2b22562ac56dc0c2f20aec651cb6b5d5d82f54a43

Aliases

arxiv: 1406.6123 · arxiv_version: 1406.6123v1 · doi: 10.48550/arxiv.1406.6123 · pith_short_12: BXB7UK32YX23 · pith_short_16: BXB7UK32YX23XLKC · pith_short_8: BXB7UK32

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/BXB7UK32YX23XLKCPTBLEJLCVR \
  | 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: 0dc3fa2b7ac5f5bbad427cc2b22562ac56dc0c2f20aec651cb6b5d5d82f54a43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60a351f8558666a376f422ad19a496a90aff988cfebed6b1894714135d24eece",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-06-24T02:39:06Z",
    "title_canon_sha256": "c7f5138cd4b672698837c3c1f6ff1bd877953262f946ee863492f0056de86c10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6123",
    "kind": "arxiv",
    "version": 1
  }
}