Pith Number

pith:427HJW42

pith:2007:427HJW427WYFOHVBOGSTRDZMIK

not attested not anchored not stored refs pending

Twisted Dedekind Type Sums Associated with Barnes' Type Multiple Frobenius-Euler l-Functions

Mehmet Cenkci, Mumun Can, Veli Kurt, Yilmaz Simsek

arxiv:0711.0579 v1 · 2007-11-05 · math.NT · math.GM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{427HJW427WYFOHVBOGSTRDZMIK}

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	2026-05-18T00:00:37.490956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6be74db9afdb0571ea171a5388f2c42a87fc6b7c72138c29391fb18bf15cd8a

Aliases

arxiv: 0711.0579 · arxiv_version: 0711.0579v1 · doi: 10.48550/arxiv.0711.0579 · pith_short_12: 427HJW427WYF · pith_short_16: 427HJW427WYFOHVB · pith_short_8: 427HJW42

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/427HJW427WYFOHVBOGSTRDZMIK \
  | 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: e6be74db9afdb0571ea171a5388f2c42a87fc6b7c72138c29391fb18bf15cd8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afcd8a7453817885a98c8ce47dd1929a0bf9ec49744e116676535db6906f5f44",
    "cross_cats_sorted": [
      "math.GM"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-11-05T09:11:32Z",
    "title_canon_sha256": "081b70e46c95c3e8dd6480a34fd2c74198b8bc39f10b093ec1aa1f58d59474fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0579",
    "kind": "arxiv",
    "version": 1
  }
}