Pith Number

pith:W2V4IVPX

pith:2017:W2V4IVPXHDG7WQAVXVK3DCQ4QV

not attested not anchored not stored refs pending

On the Distribution of Cube-Free Numbers with the Form $[n^c]$

Jinjiang Li, Min Zhang

arxiv:1702.00165 v1 · 2017-02-01 · 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{W2V4IVPXHDG7WQAVXVK3DCQ4QV}

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	2026-05-18T00:51:35.047163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6abc455f738cdfb4015bd55b18a1c8549cb6b425c0e31427061fbc3959662c3

Aliases

arxiv: 1702.00165 · arxiv_version: 1702.00165v1 · doi: 10.48550/arxiv.1702.00165 · pith_short_12: W2V4IVPXHDG7 · pith_short_16: W2V4IVPXHDG7WQAV · pith_short_8: W2V4IVPX

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/W2V4IVPXHDG7WQAVXVK3DCQ4QV \
  | 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: b6abc455f738cdfb4015bd55b18a1c8549cb6b425c0e31427061fbc3959662c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ec75e8a3d5e2237e275a97098e56900fae8fd06666e44d5609d6203f142165b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-02-01T08:56:04Z",
    "title_canon_sha256": "64696fbfe1db6a6e2c88c94d892f7b65e2f3bc568f65f10e2224083ccf93c893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00165",
    "kind": "arxiv",
    "version": 1
  }
}