Pith Number

pith:R22UNDA6

pith:2011:R22UNDA6OOZD4TLKU4DGKZHFKV

not attested not anchored not stored refs pending

On Multiplicative Functions with Bounded Partial Sums

Joseph Vandehey

arxiv:1108.1487 v1 · 2011-08-06 · 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{R22UNDA6OOZD4TLKU4DGKZHFKV}

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	2026-05-18T04:16:00.919380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eb5468c1e73b23e4d6aa7066564e5555168b8ec367d505ea5ef9bb25fe36832

Aliases

arxiv: 1108.1487 · arxiv_version: 1108.1487v1 · doi: 10.48550/arxiv.1108.1487 · pith_short_12: R22UNDA6OOZD · pith_short_16: R22UNDA6OOZD4TLK · pith_short_8: R22UNDA6

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/R22UNDA6OOZD4TLKU4DGKZHFKV \
  | 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: 8eb5468c1e73b23e4d6aa7066564e5555168b8ec367d505ea5ef9bb25fe36832

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11f29c80a33d8fddab07b04a670950e6151ad03da267aab377aad411feebfad1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-06T14:51:40Z",
    "title_canon_sha256": "e97f5d86d016a3a984b6f37ba7dbf3865215313773eaab30f50ad4724de2dd03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1487",
    "kind": "arxiv",
    "version": 1
  }
}