Pith Number

pith:Q4QCT6EH

pith:2023:Q4QCT6EHIOOBOMY5YRSPGXOAP7

not attested not anchored not stored refs pending

How many real zeros does a random Dirichlet series have?

Marco Aymone, Ricardo Misturini, Susana Fr\'ometa

arxiv:2302.00616 v3 · 2023-02-01 · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4QCT6EHIOOBOMY5YRSPGXOAP7}

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	2026-07-05T07:25:39.383383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

872029f887439c17331dc464f35dc07ff013954adf8607cc2c72c98ee66dcabe

Aliases

arxiv: 2302.00616 · arxiv_version: 2302.00616v3 · doi: 10.48550/arxiv.2302.00616 · pith_short_12: Q4QCT6EHIOOB · pith_short_16: Q4QCT6EHIOOBOMY5 · pith_short_8: Q4QCT6EH

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/Q4QCT6EHIOOBOMY5YRSPGXOAP7 \
  | 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: 872029f887439c17331dc464f35dc07ff013954adf8607cc2c72c98ee66dcabe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b920d13574164dcda6ee1bed9e6769a974eb65eadf4d8f11e0737b0d43bbc00d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-02-01T17:31:02Z",
    "title_canon_sha256": "e4c59b3933dd3b8d2196d03f8b27dda5dc760bcc3db27acd9390af3fdb21b20a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.00616",
    "kind": "arxiv",
    "version": 3
  }
}