Pith Number

pith:5ETSQMVE

pith:2018:5ETSQMVE2BWTWETRJMGSNOISGE

not attested not anchored not stored refs pending

Two $q$-analogues of Euler's formula $\zeta(2)=\pi^2/6$

Zhi-Wei Sun

arxiv:1802.01473 v6 · 2018-02-05 · math.NT · 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{5ETSQMVE2BWTWETRJMGSNOISGE}

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	2026-07-05T00:20:09.935538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9272832a4d06d3b12714b0d26b9123123068bceb418c531c6cdc5d36c3c3819

Aliases

arxiv: 1802.01473 · arxiv_version: 1802.01473v6 · doi: 10.48550/arxiv.1802.01473 · pith_short_12: 5ETSQMVE2BWT · pith_short_16: 5ETSQMVE2BWTWETR · pith_short_8: 5ETSQMVE

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/5ETSQMVE2BWTWETRJMGSNOISGE \
  | 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: e9272832a4d06d3b12714b0d26b9123123068bceb418c531c6cdc5d36c3c3819

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13d66ee412cf60934666199e3bb3ccfb04d0f7dbb87cdc003e2f8813da3e7118",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-05T15:52:27Z",
    "title_canon_sha256": "a913e266bb581eb47abc3b5f42edee06543a9529e2597ae3292126c523345824"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01473",
    "kind": "arxiv",
    "version": 6
  }
}