Pith Number

pith:2EN6I7RN

pith:2017:2EN6I7RN2HWQB55PE2ZS7VQ4WS

not attested not anchored not stored refs pending

Estimates of sums related to the Nyman-Beurling criterion for the Riemann Hypothesis

Helmut Maier, Michael Th. Rassias

arxiv:1705.09921 v1 · 2017-05-28 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2EN6I7RN2HWQB55PE2ZS7VQ4WS}

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	2026-05-18T00:43:34.175916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d11be47e2dd1ed00f7af26b32fd61cb4a4a225dccc0c54357a486ad84f51357b

Aliases

arxiv: 1705.09921 · arxiv_version: 1705.09921v1 · doi: 10.48550/arxiv.1705.09921 · pith_short_12: 2EN6I7RN2HWQ · pith_short_16: 2EN6I7RN2HWQB55P · pith_short_8: 2EN6I7RN

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/2EN6I7RN2HWQB55PE2ZS7VQ4WS \
  | 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: d11be47e2dd1ed00f7af26b32fd61cb4a4a225dccc0c54357a486ad84f51357b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cec2c67d08f87bcc7e06e6bb5ed23a924f60559f8cea61ca10b700c10cf3da7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-05-28T09:49:01Z",
    "title_canon_sha256": "2f182e09b5d5779334546c3aeb1bb19eaed0e890c86b45eb08fb919a659abdd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09921",
    "kind": "arxiv",
    "version": 1
  }
}