Pith Number

pith:7NID7N5Y

pith:2019:7NID7N5Y2Z6ESVLG6FZKSD5S52

not attested not anchored not stored refs pending

Some relations between the Riemann zeta function and the generalized Bernoulli polynomials of level $m$

H\'ector Torres-Guzm\'an, Yamilet Quintana

arxiv:1901.03700 v1 · 2019-01-10 · 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{7NID7N5Y2Z6ESVLG6FZKSD5S52}

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	2026-05-17T23:56:27.224396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb503fb7b8d67c495566f172a90fb2eeb36478f158ffba466f0f9a563707c86b

Aliases

arxiv: 1901.03700 · arxiv_version: 1901.03700v1 · doi: 10.48550/arxiv.1901.03700 · pith_short_12: 7NID7N5Y2Z6E · pith_short_16: 7NID7N5Y2Z6ESVLG · pith_short_8: 7NID7N5Y

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/7NID7N5Y2Z6ESVLG6FZKSD5S52 \
  | 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: fb503fb7b8d67c495566f172a90fb2eeb36478f158ffba466f0f9a563707c86b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51a164e59037bf030f74cb33fdd371d8f4fbab5a1ea2fbdb629fc096716e5c6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-01-10T21:21:52Z",
    "title_canon_sha256": "64d532bf885eda6412bd7eb4e44bdf8463c03e077d4d991e62514eea021c1a38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03700",
    "kind": "arxiv",
    "version": 1
  }
}