Pith Number

pith:4SJU7CPS

pith:2025:4SJU7CPSOTFU6NKSRUOW3PXNQV

not attested not anchored not stored refs pending

Fast converging irrational series for $ L(2,(\frac d\cdot))$

Yajun Zhou, Zhi-Wei Sun

arxiv:2506.01865 v3 · 2025-06-02 · 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{4SJU7CPSOTFU6NKSRUOW3PXNQV}

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	2026-07-05T11:36:32.592447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4934f89f274cb4f35528d1d6dbeed857b175c083d26f62ccc406a615aedcde4

Aliases

arxiv: 2506.01865 · arxiv_version: 2506.01865v3 · doi: 10.48550/arxiv.2506.01865 · pith_short_12: 4SJU7CPSOTFU · pith_short_16: 4SJU7CPSOTFU6NKS · pith_short_8: 4SJU7CPS

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/4SJU7CPSOTFU6NKSRUOW3PXNQV \
  | 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: e4934f89f274cb4f35528d1d6dbeed857b175c083d26f62ccc406a615aedcde4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e681ed1cdb1b65cbd96bb75016f9e41c6dd5ba4138b3322f7aaa077e82090621",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-02T16:53:21Z",
    "title_canon_sha256": "3661e8797f21bc4cd29360f54779c8514ed54bdcc1b28a3f7efafa4a4a90298a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01865",
    "kind": "arxiv",
    "version": 3
  }
}