Pith Number

pith:2SWQFO2Q

pith:2016:2SWQFO2Q6STXZRLKNFEORFP3D6

not attested not anchored not stored refs pending

Explicit evaluation of quadratic Euler sums

Ce Xu, Jianwen Zhang, Yingyue Yang

arxiv:1609.04923 v1 · 2016-09-16 · 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{2SWQFO2Q6STXZRLKNFEORFP3D6}

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	2026-05-18T00:53:45.200337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4ad02bb50f4a77cc56a6948e895fb1fa2cab05ded00587eb40062d20a3510cd

Aliases

arxiv: 1609.04923 · arxiv_version: 1609.04923v1 · doi: 10.48550/arxiv.1609.04923 · pith_short_12: 2SWQFO2Q6STX · pith_short_16: 2SWQFO2Q6STXZRLK · pith_short_8: 2SWQFO2Q

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/2SWQFO2Q6STXZRLKNFEORFP3D6 \
  | 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: d4ad02bb50f4a77cc56a6948e895fb1fa2cab05ded00587eb40062d20a3510cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ebbe03c34a99747239329772976b2e7732f903e54c02155ca389601d7bd4ce4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-16T07:17:06Z",
    "title_canon_sha256": "782184785ea014880925544e2ada7cc799cd6c72ee5226d9596695ec012106ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04923",
    "kind": "arxiv",
    "version": 1
  }
}