Pith Number

pith:5HHCIS66

pith:2026:5HHCIS66MYTLDIZDRY4YNANRHI

not attested not anchored not stored refs pending

On the Existence of Integers with at Most 3 Prime Factors Between Every Pair of Consecutive Squares

Peter J. Campbell

arxiv:2603.10356 v2 · 2026-03-11 · 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{5HHCIS66MYTLDIZDRY4YNANRHI}

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.

Cited by

1 paper in Pith

A Matrix-Theoretic Exact Formula for Counting Primes in Intervals Between Consecutive Odd Squares

Receipt and verification

First computed	2026-05-20T01:05:10.708505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9ce244bde6626b1a3238e398681b13a10260d49888970d79342f8aad4c9ca4e

Aliases

arxiv: 2603.10356 · arxiv_version: 2603.10356v2 · doi: 10.48550/arxiv.2603.10356 · pith_short_12: 5HHCIS66MYTL · pith_short_16: 5HHCIS66MYTLDIZD · pith_short_8: 5HHCIS66

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/5HHCIS66MYTLDIZDRY4YNANRHI \
  | 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: e9ce244bde6626b1a3238e398681b13a10260d49888970d79342f8aad4c9ca4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "913a018c64432c0a6febe31010f080bda731bf8527c6c46abfb031f58d90d95a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-03-11T03:10:12Z",
    "title_canon_sha256": "7391334930276f17d86dd1fd4ff8c7823990ddb9c1e886e12919eeece9157874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.10356",
    "kind": "arxiv",
    "version": 2
  }
}