Pith Number

pith:WMZRMP3L

pith:2011:WMZRMP3LT4PX3FSB6X2QQS5QCJ

not attested not anchored not stored refs pending

Zero-free regions for Dirichlet series (II)

Christophe Delaunay (LM-Besan\c{c}on), Elie Mosaki (ICJ), Emmanuel Fricain (ICJ), Olivier Robert

arxiv:1112.0166 v1 · 2011-12-01 · math.FA · 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{WMZRMP3LT4PX3FSB6X2QQS5QCJ}

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	2026-05-18T04:07:16.715279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b333163f6b9f1f7d9641f5f5084bb012453a037517726dea04395fcdcca52d36

Aliases

arxiv: 1112.0166 · arxiv_version: 1112.0166v1 · doi: 10.48550/arxiv.1112.0166 · pith_short_12: WMZRMP3LT4PX · pith_short_16: WMZRMP3LT4PX3FSB · pith_short_8: WMZRMP3L

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/WMZRMP3LT4PX3FSB6X2QQS5QCJ \
  | 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: b333163f6b9f1f7d9641f5f5084bb012453a037517726dea04395fcdcca52d36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c201a6b91bae56b6d0c85ceb3d14a26dd15a30d85b148bfeb291b9b57943a3e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-01T12:46:17Z",
    "title_canon_sha256": "60d012a8598ba8f3e2e4e2a624d56a77a19e87be9886ce81047d8d8e6b228ba5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0166",
    "kind": "arxiv",
    "version": 1
  }
}