Pith Number

pith:JQVRGT4J

pith:2015:JQVRGT4JTCIQHYQSAPDJGX5GLK

not attested not anchored not stored refs pending

Koshliakov kernel and identities involving the Riemann zeta function

Alexandru Zaharescu, Arindam Roy, Atul Dixit, Nicolas Robles

arxiv:1505.01552 v1 · 2015-05-07 · math.NT · 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{JQVRGT4JTCIQHYQSAPDJGX5GLK}

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	2026-05-18T02:16:48.555225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c2b134f89989103e21203c6935fa65aa01da5c706958eeaa12575804c5517b5

Aliases

arxiv: 1505.01552 · arxiv_version: 1505.01552v1 · doi: 10.48550/arxiv.1505.01552 · pith_short_12: JQVRGT4JTCIQ · pith_short_16: JQVRGT4JTCIQHYQS · pith_short_8: JQVRGT4J

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/JQVRGT4JTCIQHYQSAPDJGX5GLK \
  | 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: 4c2b134f89989103e21203c6935fa65aa01da5c706958eeaa12575804c5517b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "371d77206b2e9e603918419cc95c0f24f944de383691ebd50bdb9dfa66870d4b",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-07T00:48:47Z",
    "title_canon_sha256": "0c6ae59d3ba99dc1aa1e9e9efbd528448efb8a5294bc87b967cf18957e7c4ee5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01552",
    "kind": "arxiv",
    "version": 1
  }
}