Pith Number

pith:WOQVK53M

pith:2019:WOQVK53MFDQJ7KTLC4OH74QWNQ

not attested not anchored not stored refs pending

On the distribution of consecutive square-free numbers of the form $\mathbf{[\alpha n], [\alpha n]+1}$

S. I. Dimitrov

arxiv:1903.04545 v2 · 2019-03-11 · 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{WOQVK53MFDQJ7KTLC4OH74QWNQ}

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	2026-05-17T23:50:35.935042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3a155776c28e09faa6b171c7ff2166c362c2d41f02ee9190b146a0bd9e8235d

Aliases

arxiv: 1903.04545 · arxiv_version: 1903.04545v2 · doi: 10.48550/arxiv.1903.04545 · pith_short_12: WOQVK53MFDQJ · pith_short_16: WOQVK53MFDQJ7KTL · pith_short_8: WOQVK53M

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/WOQVK53MFDQJ7KTLC4OH74QWNQ \
  | 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: b3a155776c28e09faa6b171c7ff2166c362c2d41f02ee9190b146a0bd9e8235d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e26e58ca095503758e76aee590ef7295d9fa8e49d8b51bba6f4953293cdab04e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-03-11T19:04:56Z",
    "title_canon_sha256": "d5ec162fc70c2f79fb19b8127ddf91dd210c089eeebcd51ba21a430598afa2cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.04545",
    "kind": "arxiv",
    "version": 2
  }
}