Pith Number

pith:QBPQQ5QW

pith:2016:QBPQQ5QWEQNVBWC5RYOL6ERTXN

not attested not anchored not stored refs pending

Novel integral representations of the Riemann zeta-function and Dirichlet eta-function, close expressions for Laurent series expansions of powers of trigonometric functions and digamma function, and summation rules

Sergey K. Sekatskii

arxiv:1606.02150 v3 · 2016-06-07 · 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{QBPQQ5QWEQNVBWC5RYOL6ERTXN}

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	2026-05-18T00:02:50.131893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

805f087616241b50d85d8e1cbf1233bb55fd51863b53b84794d132d3fb232e3e

Aliases

arxiv: 1606.02150 · arxiv_version: 1606.02150v3 · doi: 10.48550/arxiv.1606.02150 · pith_short_12: QBPQQ5QWEQNV · pith_short_16: QBPQQ5QWEQNVBWC5 · pith_short_8: QBPQQ5QW

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/QBPQQ5QWEQNVBWC5RYOL6ERTXN \
  | 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: 805f087616241b50d85d8e1cbf1233bb55fd51863b53b84794d132d3fb232e3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1920698923a425419ae9ab116a17f788cf6a17487c5d7caa74380c5dd3cb44b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-07T14:19:04Z",
    "title_canon_sha256": "7be4fe6f87d1911033e8f0b22efdbfba4882aa3db42397a6815f1e00b7f0379e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02150",
    "kind": "arxiv",
    "version": 3
  }
}