Pith Number

pith:LNNSWURU

pith:2016:LNNSWURUKPRYTZYKLDQLYSIVFT

not attested not anchored not stored refs pending

Converse theorems: from the Riemann zeta function to the Selberg class

Alberto Perelli

arxiv:1605.02354 v1 · 2016-05-08 · 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{LNNSWURUKPRYTZYKLDQLYSIVFT}

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	2026-05-18T00:49:32.599421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b5b2b523453e389e70a58e0bc49152ccc57ad9f5689f51e05a57eb96bf5d879

Aliases

arxiv: 1605.02354 · arxiv_version: 1605.02354v1 · doi: 10.48550/arxiv.1605.02354 · pith_short_12: LNNSWURUKPRY · pith_short_16: LNNSWURUKPRYTZYK · pith_short_8: LNNSWURU

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/LNNSWURUKPRYTZYKLDQLYSIVFT \
  | 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: 5b5b2b523453e389e70a58e0bc49152ccc57ad9f5689f51e05a57eb96bf5d879

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5b2c11fdba1bb372ce4ae533a643ee3f2bfc23fb49d963f58e94c940ee8c14b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-08T19:41:15Z",
    "title_canon_sha256": "94ed3cbe71e531b0510cf933dcd3bbbe9c71130d4d3f0e3fcc8708105ba990c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02354",
    "kind": "arxiv",
    "version": 1
  }
}