Pith Number

pith:OWGVFDST

pith:2019:OWGVFDSTAIGPLBEN3OSHCRJBAC

not attested not anchored not stored refs pending

Exponential sums of the M\"{o}bius function and flat polynomials

el Houcein el Abdalaoui

arxiv:1910.10569 v3 · 2019-10-23 · math.NT · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OWGVFDSTAIGPLBEN3OSHCRJBAC}

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.

Cited by

1 paper in Pith

A generalization of Littlewood's $L^\alpha$ flat theorem, $\alpha>0$

Receipt and verification

First computed	2026-07-05T03:46:17.140669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

758d528e53020cf5848ddba47145210096ae088f1512c96b640f46be32222391

Aliases

arxiv: 1910.10569 · arxiv_version: 1910.10569v3 · doi: 10.48550/arxiv.1910.10569 · pith_short_12: OWGVFDSTAIGP · pith_short_16: OWGVFDSTAIGPLBEN · pith_short_8: OWGVFDST

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/OWGVFDSTAIGPLBEN3OSHCRJBAC \
  | 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: 758d528e53020cf5848ddba47145210096ae088f1512c96b640f46be32222391

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21c7919392a893f62f6e421f21e6791bd841d4091b47b32748a52de9893a4dbf",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-10-23T14:04:46Z",
    "title_canon_sha256": "76c32bbb95c5ce72f5689b63ed47608d2d7ddba8b10c60d15508fa5af96cefd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.10569",
    "kind": "arxiv",
    "version": 3
  }
}