Pith Number

pith:HPD3N52M

pith:2018:HPD3N52MOK27OUF64SECC7U72J

not attested not anchored not stored refs pending

The error for the second moment of cotangent sums related to the Riemann Hypothesis

Helmut Maier, Michael Th. Rassias

arxiv:1806.00772 v1 · 2018-06-03 · 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{HPD3N52MOK27OUF64SECC7U72J}

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	2026-05-18T00:14:18.492487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bc7b6f74c72b5f750bee488217e9fd261850bb83eea94136895141d6fb2cf25

Aliases

arxiv: 1806.00772 · arxiv_version: 1806.00772v1 · doi: 10.48550/arxiv.1806.00772 · pith_short_12: HPD3N52MOK27 · pith_short_16: HPD3N52MOK27OUF6 · pith_short_8: HPD3N52M

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/HPD3N52MOK27OUF64SECC7U72J \
  | 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: 3bc7b6f74c72b5f750bee488217e9fd261850bb83eea94136895141d6fb2cf25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "388edfd52560aed5c969902e053296c4f8a31092b9b1d8d68a2aedc974564083",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-06-03T11:21:11Z",
    "title_canon_sha256": "54c9be6973e453977951789dca1959fd03323f272678bcba1dfc5f8de77a86d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00772",
    "kind": "arxiv",
    "version": 1
  }
}