Pith Number

pith:KXBL7NBC

pith:2018:KXBL7NBCDVBBLKOKRIOVUMORIC

not attested not anchored not stored refs pending

On the asymptotics of a cotangent sum related to the Estermann zeta function

George Fikioris

arxiv:1807.08527 v1 · 2018-07-23 · 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{KXBL7NBCDVBBLKOKRIOVUMORIC}

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	2026-05-18T00:10:07.770444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55c2bfb4221d4215a9ca8a1d5a31d140a351e05336ed5217468ba4c8e1facbae

Aliases

arxiv: 1807.08527 · arxiv_version: 1807.08527v1 · doi: 10.48550/arxiv.1807.08527 · pith_short_12: KXBL7NBCDVBB · pith_short_16: KXBL7NBCDVBBLKOK · pith_short_8: KXBL7NBC

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/KXBL7NBCDVBBLKOKRIOVUMORIC \
  | 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: 55c2bfb4221d4215a9ca8a1d5a31d140a351e05336ed5217468ba4c8e1facbae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc8c75e50c7cc123d27da83ac2c7f7f93f1f2c0ede06aafc5a053d21b10cee9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-07-23T10:59:55Z",
    "title_canon_sha256": "c0436853636c3753687ea91e9f1939d940126b17eaec23563c4b7023afb83cf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08527",
    "kind": "arxiv",
    "version": 1
  }
}