Pith Number

pith:R44Y3RZW

pith:2016:R44Y3RZW26FEQTT2O7QHC6T4PO

not attested not anchored not stored refs pending

Multiple harmonic sums and multiple harmonic star sums are (nearly) never integers

Khodabakhsh Hessami Pilehrood, Roberto Tauraso, Tatiana Hessami Pilehrood

arxiv:1606.05722 v1 · 2016-06-18 · 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{R44Y3RZW26FEQTT2O7QHC6T4PO}

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	2026-05-18T01:12:16.176410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f398dc736d78a484e7a77e0717a7c7b8110119435827119b272a68b870f6573

Aliases

arxiv: 1606.05722 · arxiv_version: 1606.05722v1 · doi: 10.48550/arxiv.1606.05722 · pith_short_12: R44Y3RZW26FE · pith_short_16: R44Y3RZW26FEQTT2 · pith_short_8: R44Y3RZW

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/R44Y3RZW26FEQTT2O7QHC6T4PO \
  | 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: 8f398dc736d78a484e7a77e0717a7c7b8110119435827119b272a68b870f6573

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed5c369b7de8be6183e46dd6cb09a9b44a1275285ca36e41d0b90e5d90a8f98f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-18T06:21:03Z",
    "title_canon_sha256": "b714050c28a92eb47ca44e0406ee71638ffde7b8d68883e6b99bdf16ad1dd0ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05722",
    "kind": "arxiv",
    "version": 1
  }
}