Pith Number

pith:ZPVDB2DR

pith:2010:ZPVDB2DRITNOSQDRRJXL3RPHKY

not attested not anchored not stored refs pending

Extending Landau's Theorem on Dirichlet Series with Non-Negative Coefficients

Brian Maurizi

arxiv:1009.0228 v1 · 2010-09-01 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPVDB2DRITNOSQDRRJXL3RPHKY}

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	2026-05-18T04:41:35.350593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbea30e87144dae940718a6ebdc5e75613decd32b4a9fcfa6540f4de98742aba

Aliases

arxiv: 1009.0228 · arxiv_version: 1009.0228v1 · doi: 10.48550/arxiv.1009.0228 · pith_short_12: ZPVDB2DRITNO · pith_short_16: ZPVDB2DRITNOSQDR · pith_short_8: ZPVDB2DR

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/ZPVDB2DRITNOSQDRRJXL3RPHKY \
  | 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: cbea30e87144dae940718a6ebdc5e75613decd32b4a9fcfa6540f4de98742aba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bac78ffb7b45a9d1110b79a92ddda12118f08753315e945375b34ad7b0a79212",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-09-01T17:39:16Z",
    "title_canon_sha256": "d406990fbcc82827598d08f509ae9a2283245f3c12541f2441295911101e13fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0228",
    "kind": "arxiv",
    "version": 1
  }
}