Pith Number

pith:YDM7K2T2

pith:2008:YDM7K2T2WNZ23OVC6ZASQZBWCT

not attested not anchored not stored refs pending

On the $k$-free divisor problem

Jun Furuya, Wenguang Zhai

arxiv:0805.2639 v1 · 2008-05-17 · 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{YDM7K2T2WNZ23OVC6ZASQZBWCT}

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	2026-05-18T02:15:52.674849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0d9f56a7ab373adbaa2f64128643614f23cc5dc946f1394f0458c51e2ef563d

Aliases

arxiv: 0805.2639 · arxiv_version: 0805.2639v1 · doi: 10.48550/arxiv.0805.2639 · pith_short_12: YDM7K2T2WNZ2 · pith_short_16: YDM7K2T2WNZ23OVC · pith_short_8: YDM7K2T2

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/YDM7K2T2WNZ23OVC6ZASQZBWCT \
  | 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: c0d9f56a7ab373adbaa2f64128643614f23cc5dc946f1394f0458c51e2ef563d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bb799c39245887fa1037c0128ec538401b834f6e719da81f15fad1246b97408",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-05-17T00:55:54Z",
    "title_canon_sha256": "412c9830c4305f70e0493bd632284ec9ac79f55d2ff20730815187288b42d92f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.2639",
    "kind": "arxiv",
    "version": 1
  }
}