Pith Number

pith:5OU4KZZH

pith:2017:5OU4KZZHIGAODU3PKTLULLPQF4

not attested not anchored not stored refs pending

The $r$th moment of the divisor function: an elementary approach

Florian Luca, L\'aszl\'o T\'oth

arxiv:1703.08785 v2 · 2017-03-26 · 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{5OU4KZZHIGAODU3PKTLULLPQF4}

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	2026-05-18T00:40:58.396395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eba9c567274180e1d36f54d745adf02f11a8e743c67ff8ed1fad590aba71ca00

Aliases

arxiv: 1703.08785 · arxiv_version: 1703.08785v2 · doi: 10.48550/arxiv.1703.08785 · pith_short_12: 5OU4KZZHIGAO · pith_short_16: 5OU4KZZHIGAODU3P · pith_short_8: 5OU4KZZH

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/5OU4KZZHIGAODU3PKTLULLPQF4 \
  | 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: eba9c567274180e1d36f54d745adf02f11a8e743c67ff8ed1fad590aba71ca00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ee85faf7ee747517d142d9f28798a837bdaec5cee678b30d29814a458748bdf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-26T08:39:01Z",
    "title_canon_sha256": "e419933886c8b46a20f1beec3d2a93ec56af886e31934f4d7d322395739d60c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08785",
    "kind": "arxiv",
    "version": 2
  }
}