Pith Number

pith:XBAJQU4X

pith:2015:XBAJQU4XLL3WGPGR5UB7FZ45YA

not attested not anchored not stored refs pending

Large gaps between consecutive prime numbers containing perfect $k$-th powers of prime numbers

Helmut Maier, Michael Th. Rassias

arxiv:1512.03936 v2 · 2015-12-12 · 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{XBAJQU4XLL3WGPGR5UB7FZ45YA}

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	2026-05-18T01:19:20.196721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8409853975af7633cd1ed03f2e79dc0250889cb37f8cd0d6667116ac920094b

Aliases

arxiv: 1512.03936 · arxiv_version: 1512.03936v2 · doi: 10.48550/arxiv.1512.03936 · pith_short_12: XBAJQU4XLL3W · pith_short_16: XBAJQU4XLL3WGPGR · pith_short_8: XBAJQU4X

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/XBAJQU4XLL3WGPGR5UB7FZ45YA \
  | 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: b8409853975af7633cd1ed03f2e79dc0250889cb37f8cd0d6667116ac920094b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06513a15b79eab07e29d6a294e91af6c845b4d7e4e3e7b1fe46ad79e7adf6f09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-12T16:55:19Z",
    "title_canon_sha256": "59b67ca8de9045d86314b5b8af846b49684817d95cd13ac44671c746d8abb843"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03936",
    "kind": "arxiv",
    "version": 2
  }
}