Pith Number

pith:VHOYE572

pith:2018:VHOYE5722745VUIRCTGOCFE5YC

not attested not anchored not stored refs pending

Cotangent sums related to the Riemann Hypothesis for various shifts of the argument

Helmut Maier, Michael Th. Rassias

arxiv:1809.06126 v1 · 2018-09-17 · 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{VHOYE5722745VUIRCTGOCFE5YC}

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	2026-05-18T00:05:35.570533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9dd8277fad7f9dad11114cce1149dc0bd30c04437179bdbd193ccb6a3aac735

Aliases

arxiv: 1809.06126 · arxiv_version: 1809.06126v1 · doi: 10.48550/arxiv.1809.06126 · pith_short_12: VHOYE5722745 · pith_short_16: VHOYE5722745VUIR · pith_short_8: VHOYE572

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/VHOYE5722745VUIRCTGOCFE5YC \
  | 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: a9dd8277fad7f9dad11114cce1149dc0bd30c04437179bdbd193ccb6a3aac735

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cc0829c14e3f64b7dc1bba7f4fe43a2579a519101b16f8f6f82f25a51ba1019",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-09-17T11:03:30Z",
    "title_canon_sha256": "1521c13331b3d7b82c41ad62cc0864da5f6b7ce0c7110affb276e97b7e398e77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06126",
    "kind": "arxiv",
    "version": 1
  }
}