Pith Number

pith:YTSEZFDE

pith:2026:YTSEZFDESRDEMI4ZK7QEJ2PNRH

not attested not anchored not stored refs pending

On a Smoothed Walfisz Divisor Problem

Florian Daval, Olivier Bordell\`es

arxiv:2607.01956 v1 · 2026-07-02 · 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{YTSEZFDESRDEMI4ZK7QEJ2PNRH}

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	2026-07-03T01:17:35.145599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4e44c9464944646239957e044e9ed89d50b72b304de9aeb1b228610fd9ed713

Aliases

arxiv: 2607.01956 · arxiv_version: 2607.01956v1 · doi: 10.48550/arxiv.2607.01956 · pith_short_12: YTSEZFDESRDE · pith_short_16: YTSEZFDESRDEMI4Z · pith_short_8: YTSEZFDE

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/YTSEZFDESRDEMI4ZK7QEJ2PNRH \
  | 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: c4e44c9464944646239957e044e9ed89d50b72b304de9aeb1b228610fd9ed713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ab01fa864f0a10d77b46f199daa2f63cd6caf5bdbd69b29fce445d24bbff9e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-02T09:49:54Z",
    "title_canon_sha256": "06e436544dcd9dbba094ec93ba2f66fd4d7dfd4cb0c1c1b48a9c3bd464620cbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01956",
    "kind": "arxiv",
    "version": 1
  }
}