Pith Number

pith:X2BKX3B2

pith:2012:X2BKX3B23RDIANTTMP53SK6N2K

not attested not anchored not stored refs pending

The least common multiple of consecutive quadratic progression terms

Guoyou Qian, Shaofang Hong

arxiv:1208.5119 v2 · 2012-08-25 · 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{X2BKX3B23RDIANTTMP53SK6N2K}

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	2026-05-18T02:54:56.475484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be82abec3adc4680367363fbb92bcdd2a7a58948930ce594e9228a0b9ee0d833

Aliases

arxiv: 1208.5119 · arxiv_version: 1208.5119v2 · doi: 10.48550/arxiv.1208.5119 · pith_short_12: X2BKX3B23RDI · pith_short_16: X2BKX3B23RDIANTT · pith_short_8: X2BKX3B2

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/X2BKX3B23RDIANTTMP53SK6N2K \
  | 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: be82abec3adc4680367363fbb92bcdd2a7a58948930ce594e9228a0b9ee0d833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c17d678a47e3bd1c94bb4f3ee49fc058b24c3f408054d69797b9bac816f14e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-25T09:06:43Z",
    "title_canon_sha256": "d36d6b75e3f22522927a4b170613d2aad0ef7e387892dda649af63253b95621f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5119",
    "kind": "arxiv",
    "version": 2
  }
}