Pith Number

pith:LLBV7PQS

pith:2019:LLBV7PQS5TERZVE47EZKXRXDGM

not attested not anchored not stored refs pending

The Landau function and the Riemann Hypothesis

Jean-Louis Nicolas, Marc Deleglise

arxiv:1907.07664 v1 · 2019-07-17 · 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{LLBV7PQS5TERZVE47EZKXRXDGM}

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	2026-05-17T23:40:21.350824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ac35fbe12ecc91cd49cf932abc6e33305b8c5241f222217a97794f6bcc3334a

Aliases

arxiv: 1907.07664 · arxiv_version: 1907.07664v1 · doi: 10.48550/arxiv.1907.07664 · pith_short_12: LLBV7PQS5TER · pith_short_16: LLBV7PQS5TERZVE4 · pith_short_8: LLBV7PQS

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/LLBV7PQS5TERZVE47EZKXRXDGM \
  | 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: 5ac35fbe12ecc91cd49cf932abc6e33305b8c5241f222217a97794f6bcc3334a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0d3a3c5537aaadc61136a1c8e661eab848c6c15fb273f42670ac2a450a1eec7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-17T17:50:03Z",
    "title_canon_sha256": "ecc8b52837e3717f9e4cd182a6a4bbf8ca5a230520a88c9982df2941e0ae16cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07664",
    "kind": "arxiv",
    "version": 1
  }
}