Pith Number

pith:UVLP2LXR

pith:2018:UVLP2LXR2IQ5KNJXCJV4KZU3KW

not attested not anchored not stored refs pending

Explicit formulas of Euler sums via multiple zeta values

Ce Xu, Weiping Wang

arxiv:1805.08056 v3 · 2018-05-17 · 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{UVLP2LXR2IQ5KNJXCJV4KZU3KW}

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	2026-05-17T23:41:25.125931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a556fd2ef1d221d53537126bc5669b559ac4636d741e75beebb97881ba4cb41a

Aliases

arxiv: 1805.08056 · arxiv_version: 1805.08056v3 · doi: 10.48550/arxiv.1805.08056 · pith_short_12: UVLP2LXR2IQ5 · pith_short_16: UVLP2LXR2IQ5KNJX · pith_short_8: UVLP2LXR

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/UVLP2LXR2IQ5KNJXCJV4KZU3KW \
  | 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: a556fd2ef1d221d53537126bc5669b559ac4636d741e75beebb97881ba4cb41a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7db059d941cae2cfc672c7652380dd072074b9628257a58ed9163661584d0f64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-17T01:59:18Z",
    "title_canon_sha256": "24a40d5f92b12f2664dbc7000aa7d43b44e17d5d404e16c2a78dead59bfebfc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08056",
    "kind": "arxiv",
    "version": 3
  }
}