Pith Number

pith:MJ7EROO7

pith:2024:MJ7EROO7NIK2NLGXW4T4SL5GHV

not attested not anchored not stored refs pending

Evaluations of $ \sum_{k=1}^\infty \frac{x^k}{k^2\binom{3k}{k}}$ and related series

Yajun Zhou, Zhi-Wei Sun

arxiv:2401.12083 v1 · 2024-01-22 · math.CO · 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{MJ7EROO7NIK2NLGXW4T4SL5GHV}

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	2026-07-05T07:36:14.838156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

627e48b9df6a15a6acd7b727c92fa63d650d162d3aa5d7b971042cda76574262

Aliases

arxiv: 2401.12083 · arxiv_version: 2401.12083v1 · doi: 10.48550/arxiv.2401.12083 · pith_short_12: MJ7EROO7NIK2 · pith_short_16: MJ7EROO7NIK2NLGX · pith_short_8: MJ7EROO7

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/MJ7EROO7NIK2NLGXW4T4SL5GHV \
  | 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: 627e48b9df6a15a6acd7b727c92fa63d650d162d3aa5d7b971042cda76574262

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d635ca480bee591752ae241674b83f045e1b72c948018b25050d5126e77e0138",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-01-22T16:22:52Z",
    "title_canon_sha256": "e0b545f01cc07f876883118e32494868ab78eec9c096873b4c0baba4de746f26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.12083",
    "kind": "arxiv",
    "version": 1
  }
}