Pith Number

pith:ZRJR7EFA

pith:2011:ZRJR7EFA6ZKG453QOWY7JASVUJ

not attested not anchored not stored refs pending

Survey of Dirichlet Series of Multiplicative Arithmetic Functions

Richard J. Mathar

arxiv:1106.4038 v2 · 2011-06-20 · 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{ZRJR7EFA6ZKG453QOWY7JASVUJ}

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	2026-05-18T03:51:48.855219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc531f90a0f6546e777075b1f48255a2788c98256bb8b410494362d818ad085d

Aliases

arxiv: 1106.4038 · arxiv_version: 1106.4038v2 · doi: 10.48550/arxiv.1106.4038 · pith_short_12: ZRJR7EFA6ZKG · pith_short_16: ZRJR7EFA6ZKG453Q · pith_short_8: ZRJR7EFA

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/ZRJR7EFA6ZKG453QOWY7JASVUJ \
  | 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: cc531f90a0f6546e777075b1f48255a2788c98256bb8b410494362d818ad085d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "825593e4a32d2ff1104b1c49d7aa2f3c4a74b4c358125f53a211a50adf2982dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-06-20T20:42:30Z",
    "title_canon_sha256": "28f6784bee0fa5a41df5eac487c0d9604da464e6afeaf40df161363a66ba5c38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4038",
    "kind": "arxiv",
    "version": 2
  }
}