Pith Number

pith:WWGJYDIR

pith:2019:WWGJYDIRLVF3F3STA6L433EAS6

not attested not anchored not stored refs pending

Infinite Summation Formulas Involving Riemann-Zeta function

Xiaoxia Wang, Xueying Yuan

arxiv:1908.09468 v1 · 2019-08-26 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWGJYDIRLVF3F3STA6L433EAS6}

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	2026-07-04T23:59:40.419699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b58c9c0d115d4bb2ee530797cdec8097919e73cbb58a35dd1ae12116c94dcbdd

Aliases

arxiv: 1908.09468 · arxiv_version: 1908.09468v1 · doi: 10.48550/arxiv.1908.09468 · pith_short_12: WWGJYDIRLVF3 · pith_short_16: WWGJYDIRLVF3F3ST · pith_short_8: WWGJYDIR

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/WWGJYDIRLVF3F3STA6L433EAS6 \
  | 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: b58c9c0d115d4bb2ee530797cdec8097919e73cbb58a35dd1ae12116c94dcbdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdde820b07b71546eef3a286439429904e53aaa53757d9f7a5e9e3a139300dd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-26T04:46:28Z",
    "title_canon_sha256": "fdd52810a41906cc1d37bb70a31924d3f9937f62cdf9fef474e9895721820afd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09468",
    "kind": "arxiv",
    "version": 1
  }
}