Pith Number

pith:FLVC43LU

pith:2025:FLVC43LUV52W4YNIFBP4RQZKUW

not attested not anchored not stored refs pending

On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid

Sourabhashis Das, Wentang Kuo, Yu-Ru Liu

arxiv:2506.01030 v1 · 2025-06-01 · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FLVC43LUV52W4YNIFBP4RQZKUW}

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	2026-07-05T11:13:44.768124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aea2e6d74af756e61a8285fc8c32aa5b0b8e671fba1880a2fc7dff961219d58

Aliases

arxiv: 2506.01030 · arxiv_version: 2506.01030v1 · doi: 10.48550/arxiv.2506.01030 · pith_short_12: FLVC43LUV52W · pith_short_16: FLVC43LUV52W4YNI · pith_short_8: FLVC43LU

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/FLVC43LUV52W4YNIFBP4RQZKUW \
  | 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: 2aea2e6d74af756e61a8285fc8c32aa5b0b8e671fba1880a2fc7dff961219d58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0034c1fb35610e2f5aa15afdfb190ef1f61bee22a9d9a752cd84d0506704bc1",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-01T14:20:05Z",
    "title_canon_sha256": "00f173e3d0e39f52c6718275b6691a6f349bf06318ec7ca8fcdc76cf55cea0e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01030",
    "kind": "arxiv",
    "version": 1
  }
}