Pith Number

pith:GQRYAGUU

pith:2011:GQRYAGUUVZMUW73GELLZZG2RAR

not attested not anchored not stored refs pending

On the error term of the logarithm of the lcm of a quadratic sequence

Ana Zumalac\'arregui, Juanjo Ru\'e, Paulius \v{S}arka

arxiv:1110.0939 v2 · 2011-10-05 · 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{GQRYAGUUVZMUW73GELLZZG2RAR}

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	2026-05-18T04:11:17.530242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3423801a94ae594b7f6622d79c9b51047aa291e74a34ccc68e7b04e24ccef2f1

Aliases

arxiv: 1110.0939 · arxiv_version: 1110.0939v2 · doi: 10.48550/arxiv.1110.0939 · pith_short_12: GQRYAGUUVZMU · pith_short_16: GQRYAGUUVZMUW73G · pith_short_8: GQRYAGUU

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/GQRYAGUUVZMUW73GELLZZG2RAR \
  | 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: 3423801a94ae594b7f6622d79c9b51047aa291e74a34ccc68e7b04e24ccef2f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55696b18c8080c9e475d545a24c8d21b1bce3160947288edf739208931b0fd7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-10-05T10:30:25Z",
    "title_canon_sha256": "4bf914dcba9bc59021018b44a8bd3d54fc2d9ecf9d5cafa8aebd9601cac812c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0939",
    "kind": "arxiv",
    "version": 2
  }
}