Pith Number

pith:NSATV2AZ

pith:2015:NSATV2AZXI4VJF6M4BSGVGBX7C

not attested not anchored not stored refs pending

Large gaps between consecutive prime numbers containing square-free numbers and perfect powers of prime numbers

Helmut Maier, Michael Th. Rassias

arxiv:1504.01645 v1 · 2015-04-07 · 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{NSATV2AZXI4VJF6M4BSGVGBX7C}

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	2026-05-18T02:19:26.591823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c813ae819ba395497cce0646a9837f8b22798ca3ff0a124d626d6a39ad53c3e

Aliases

arxiv: 1504.01645 · arxiv_version: 1504.01645v1 · doi: 10.48550/arxiv.1504.01645 · pith_short_12: NSATV2AZXI4V · pith_short_16: NSATV2AZXI4VJF6M · pith_short_8: NSATV2AZ

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/NSATV2AZXI4VJF6M4BSGVGBX7C \
  | 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: 6c813ae819ba395497cce0646a9837f8b22798ca3ff0a124d626d6a39ad53c3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f0a4e52cb2d33869637c796aa960313887af25a960027307dd68f3f641af2c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-07T15:39:27Z",
    "title_canon_sha256": "c5487359286b42eccb5d646e1cc9c62fc5ea181ff0aca1178a78109940a3a51c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01645",
    "kind": "arxiv",
    "version": 1
  }
}