Pith Number

pith:OFOSSZJI

pith:2014:OFOSSZJILKIVSE7KI7PRGKDW5P

not attested not anchored not stored refs pending

Large gaps between consecutive prime numbers containing perfect powers

D. R. Heath-Brown, Kevin Ford, Sergei Konyagin

arxiv:1411.6543 v1 · 2014-11-24 · 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{OFOSSZJILKIVSE7KI7PRGKDW5P}

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	2026-05-18T02:32:54.835883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

715d2965285a915913ea47df132876ebfb262bd5fc15927c6dda16e9ec1f31b5

Aliases

arxiv: 1411.6543 · arxiv_version: 1411.6543v1 · doi: 10.48550/arxiv.1411.6543 · pith_short_12: OFOSSZJILKIV · pith_short_16: OFOSSZJILKIVSE7K · pith_short_8: OFOSSZJI

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/OFOSSZJILKIVSE7KI7PRGKDW5P \
  | 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: 715d2965285a915913ea47df132876ebfb262bd5fc15927c6dda16e9ec1f31b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "670268784bbb32bb3a6d8b59c70c680007cf96cb15e46c4d4437bec49150ab42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-24T17:38:50Z",
    "title_canon_sha256": "1aeef17a170b7c12d5ec29ccbf0620f175c83ddedd676f62eb46dd4a7ea1beda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6543",
    "kind": "arxiv",
    "version": 1
  }
}