Pith Number

pith:QUR52G5L

pith:2017:QUR52G5LFUQ5YWCC7BPX3GZLFG

not attested not anchored not stored refs pending

Multiple reciprocal sums and multiple reciprocal star sums of polynomials are almost never integers

Liping Yang, Min Qiu, Qiuyu Yin, Shaofang Hong

arxiv:1703.07263 v2 · 2017-03-21 · 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{QUR52G5LFUQ5YWCC7BPX3GZLFG}

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	2026-05-18T00:12:00.582128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8523dd1bab2d21dc5842f85f7d9b2b29b840c9ab1423286aac5548b7df07c902

Aliases

arxiv: 1703.07263 · arxiv_version: 1703.07263v2 · doi: 10.48550/arxiv.1703.07263 · pith_short_12: QUR52G5LFUQ5 · pith_short_16: QUR52G5LFUQ5YWCC · pith_short_8: QUR52G5L

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/QUR52G5LFUQ5YWCC7BPX3GZLFG \
  | 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: 8523dd1bab2d21dc5842f85f7d9b2b29b840c9ab1423286aac5548b7df07c902

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79ba3efc88884856053fa9f1ad7e3b5615bfe517be9dfd7905d44629aad04e3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-21T15:16:43Z",
    "title_canon_sha256": "bf1fc47f65b751ad8ff0734acbebb119596f08d8b620c13227b897700ca500d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07263",
    "kind": "arxiv",
    "version": 2
  }
}