Pith Number

pith:C6X2NNI2

pith:2016:C6X2NNI222OIPDYRRKQUE33AT3

not attested not anchored not stored refs pending

Analysis of the p-adic q-Volkenborn Integrals: an approach to Apostol-type special numbers and polynomials

Yilmaz Simsek

arxiv:1609.09133 v1 · 2016-09-28 · 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{C6X2NNI222OIPDYRRKQUE33AT3}

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	2026-05-18T00:39:18.228996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17afa6b51ad69c878f118aa1426f609eedb39993064df77fc5c53d171ecbb7e4

Aliases

arxiv: 1609.09133 · arxiv_version: 1609.09133v1 · doi: 10.48550/arxiv.1609.09133 · pith_short_12: C6X2NNI222OI · pith_short_16: C6X2NNI222OIPDYR · pith_short_8: C6X2NNI2

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/C6X2NNI222OIPDYRRKQUE33AT3 \
  | 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: 17afa6b51ad69c878f118aa1426f609eedb39993064df77fc5c53d171ecbb7e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "276a26214b9137692746f5864da9c233addfe79ba434907f88adffbd063ee188",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-28T22:03:50Z",
    "title_canon_sha256": "7afe02fed27cff6f04abb8ab50af22821926dc9c8ff4787a87abffbdf32a08e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09133",
    "kind": "arxiv",
    "version": 1
  }
}