Pith Number

pith:RXT5IJB6

pith:2024:RXT5IJB6WT5HSRMCTN6KSYKT2Y

not attested not anchored not stored refs pending

Proof of conjectures on series with summands involving $ \binom{2k}{k}8^k/(\binom{3k}{k}\binom{6k}{3k})$

Yajun Zhou, Zhi-Wei Sun

arxiv:2401.14197 v1 · 2024-01-25 · math.CA · 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{RXT5IJB6WT5HSRMCTN6KSYKT2Y}

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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.

Cited by

2 papers in Pith

Functional Dilogarithm Identities in Quadratic Fields

Receipt and verification

First computed	2026-07-05T07:37:32.597528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8de7d4243eb4fa7945829b7ca96153d61d4ab4ab1df0467b7c52c2082238d382

Aliases

arxiv: 2401.14197 · arxiv_version: 2401.14197v1 · doi: 10.48550/arxiv.2401.14197 · pith_short_12: RXT5IJB6WT5H · pith_short_16: RXT5IJB6WT5HSRMC · pith_short_8: RXT5IJB6

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/RXT5IJB6WT5HSRMCTN6KSYKT2Y \
  | 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: 8de7d4243eb4fa7945829b7ca96153d61d4ab4ab1df0467b7c52c2082238d382

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9be6c74f24746d0f6559072c6e9c476e009e6fc2695729941193b861f61694c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-01-25T14:18:15Z",
    "title_canon_sha256": "a9f370aa7d32dc1cbae1952fb60c3c185bf51ecd8339e2284357c91d7e59272d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.14197",
    "kind": "arxiv",
    "version": 1
  }
}