Pith Number

pith:JK6IQFIR

pith:2024:JK6IQFIRILPSQRX7NLWI76UKGY

not attested not anchored not stored refs pending

Some ergodic theorems over squarefree numbers and squarefull numbers

Biao Wang, Chunlin Wang, Huixi Li, Shaoyun Yi

arxiv:2405.18157 v2 · 2024-05-28 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JK6IQFIRILPSQRX7NLWI76UKGY}

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	2026-06-09T01:05:03.410865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4abc88151142df2846ff6aec8ffa8a36024181e5659b8ddf87de1071d7eebd53

Aliases

arxiv: 2405.18157 · arxiv_version: 2405.18157v2 · doi: 10.48550/arxiv.2405.18157 · pith_short_12: JK6IQFIRILPS · pith_short_16: JK6IQFIRILPSQRX7 · pith_short_8: JK6IQFIR

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/JK6IQFIRILPSQRX7NLWI76UKGY \
  | 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: 4abc88151142df2846ff6aec8ffa8a36024181e5659b8ddf87de1071d7eebd53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdf18fcae2c146ca709bacaa478a31c06f7476fef4cfb1049120ec266bffaec5",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-05-28T13:19:00Z",
    "title_canon_sha256": "e4faf66178912256f63151e91d945435b476f3f910a39874313449df48afe57a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.18157",
    "kind": "arxiv",
    "version": 2
  }
}