Pith Number

pith:IW3Q4Z7E

pith:2026:IW3Q4Z7EDFKEKEUOX4W5YPLIVH

not attested not anchored not stored refs pending

A Greatest Common Divisor Criterion of Certain Binomial Coefficients

Dakai Guo, Ruichen Qiu, Ruyong Feng, Xiao-Shan Gao, Yichuan Cao

arxiv:2606.22997 v1 · 2026-06-22 · math.NT · cs.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IW3Q4Z7EDFKEKEUOX4W5YPLIVH}

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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.

Receipt and verification

First computed	2026-06-23T03:14:06.279024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45b70e67e4195445128ebf2ddc3d68a9ed724008593080ced86e744636b0e0eb

Aliases

arxiv: 2606.22997 · arxiv_version: 2606.22997v1 · doi: 10.48550/arxiv.2606.22997 · pith_short_12: IW3Q4Z7EDFKE · pith_short_16: IW3Q4Z7EDFKEKEUO · pith_short_8: IW3Q4Z7E

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/IW3Q4Z7EDFKEKEUOX4W5YPLIVH \
  | 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: 45b70e67e4195445128ebf2ddc3d68a9ed724008593080ced86e744636b0e0eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56d28095015e2fb13b621c05c8533c582057996dc791861b05aa3e4c98ce3807",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-22T08:14:01Z",
    "title_canon_sha256": "6f1339ced0e53e5ebea6f4d665d0682af8f20e72513ca3eb086bd8ffe448b924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22997",
    "kind": "arxiv",
    "version": 1
  }
}