Pith Number

pith:VQ3YI5HN

pith:2011:VQ3YI5HNO43OIGMXVGKUL2HI4Z

not attested not anchored not stored refs pending

Positive Proportion of Small Gaps Between Consecutive Primes

C. Y. Yildirim, D. A. Goldston, J. Pintz

arxiv:1103.3986 v1 · 2011-03-21 · 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{VQ3YI5HNO43OIGMXVGKUL2HI4Z}

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	2026-05-18T04:26:22.029236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac378474ed7736e41997a99545e8e8e66e700734e29ab0102200708775995668

Aliases

arxiv: 1103.3986 · arxiv_version: 1103.3986v1 · doi: 10.48550/arxiv.1103.3986 · pith_short_12: VQ3YI5HNO43O · pith_short_16: VQ3YI5HNO43OIGMX · pith_short_8: VQ3YI5HN

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/VQ3YI5HNO43OIGMXVGKUL2HI4Z \
  | 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: ac378474ed7736e41997a99545e8e8e66e700734e29ab0102200708775995668

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbcf3880f2251f98d37e2880c624387b7ca19a05d97378610abbe6773b6cbd93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-21T11:50:31Z",
    "title_canon_sha256": "4917b19123fd8005c5d1e38c067c49c9d73693f7acbaf18b126e3266943ad682"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3986",
    "kind": "arxiv",
    "version": 1
  }
}