Pith Number

pith:XKLNHAO3

pith:2007:XKLNHAO3LC25SBE5REN4ERCSYM

not attested not anchored not stored refs pending

q-Hardy-Berndt type sums associated with q-Genocchi type zeta and l-functions

Yilmaz Simsek

arxiv:0710.5681 v1 · 2007-10-30 · 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{XKLNHAO3LC25SBE5REN4ERCSYM}

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	2026-05-18T00:00:37.504135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba96d381db58b5d9049d891bc24452c314f441cb3bc2f65457c621b77e7c1402

Aliases

arxiv: 0710.5681 · arxiv_version: 0710.5681v1 · doi: 10.48550/arxiv.0710.5681 · pith_short_12: XKLNHAO3LC25 · pith_short_16: XKLNHAO3LC25SBE5 · pith_short_8: XKLNHAO3

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/XKLNHAO3LC25SBE5REN4ERCSYM \
  | 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: ba96d381db58b5d9049d891bc24452c314f441cb3bc2f65457c621b77e7c1402

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bcec95e1c0602e743a8a0759a1efa84510ad9afed9325a056086562565a3efc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-10-30T15:25:57Z",
    "title_canon_sha256": "8960496e027ea6d39fc1e761b44b5f30d7384a0fed868344dccb2bcd2ecd4794"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.5681",
    "kind": "arxiv",
    "version": 1
  }
}