Pith Number

pith:SYWDYWAX

pith:2025:SYWDYWAXEU2ANWJ5RL7GU5QTDY

not attested not anchored not stored refs pending

The Error in a Smooth Weighted Prime Number Formula and Zero-free Regions for the Riemann Zeta Function

Songlin Han

arxiv:2505.23795 v1 · 2025-05-26 · 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{SYWDYWAXEU2ANWJ5RL7GU5QTDY}

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	2026-07-05T11:12:35.573748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

962c3c5817253406d93d8afe6a76131e1757bcd2ff6c747f80decc822960db1f

Aliases

arxiv: 2505.23795 · arxiv_version: 2505.23795v1 · doi: 10.48550/arxiv.2505.23795 · pith_short_12: SYWDYWAXEU2A · pith_short_16: SYWDYWAXEU2ANWJ5 · pith_short_8: SYWDYWAX

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/SYWDYWAXEU2ANWJ5RL7GU5QTDY \
  | 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: 962c3c5817253406d93d8afe6a76131e1757bcd2ff6c747f80decc822960db1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd1dc6f834e26929550c20ddbe7a6dab3df064f0309900c8c993a5e66a52bfb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-26T12:53:07Z",
    "title_canon_sha256": "ed334be9aa636315f2725fa3ceb20c202aba275367ab243fc31409722ce74e27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.23795",
    "kind": "arxiv",
    "version": 1
  }
}