Pith Number

pith:4OS3TLUJ

pith:2026:4OS3TLUJBUSLXNIQ7FKFJPAY3K

not attested not anchored not stored refs pending

A quick distributional way to reproduce some results of the Riemann zeta function

Hao Zhang, Junfa Deng, Yunyun Yang

arxiv:2605.22421 v1 · 2026-05-21 · math.NT · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OS3TLUJBUSLXNIQ7FKFJPAY3K}

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	2026-05-22T01:04:42.433207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3a5b9ae890d24bbb510f95454bc18dab65a01ab2405798541f4f1afc2aec52b

Aliases

arxiv: 2605.22421 · arxiv_version: 2605.22421v1 · doi: 10.48550/arxiv.2605.22421 · pith_short_12: 4OS3TLUJBUSL · pith_short_16: 4OS3TLUJBUSLXNIQ · pith_short_8: 4OS3TLUJ

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/4OS3TLUJBUSLXNIQ7FKFJPAY3K \
  | 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: e3a5b9ae890d24bbb510f95454bc18dab65a01ab2405798541f4f1afc2aec52b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ef686e4f8e454ce9c388e14c0565fc7cf19a48712374a6ea4d267ae7d11eb56",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-21T12:42:20Z",
    "title_canon_sha256": "1f6370061095b28428cc7582a589e8cc41f5755a19f556407a90644278bab09a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22421",
    "kind": "arxiv",
    "version": 1
  }
}