Pith Number

pith:J253IBWR

pith:2009:J253IBWR5RBNB44XS7JHO544NI

not attested not anchored not stored refs pending

Jumping champions and gaps between consecutive primes

A. H. Ledoan, D. A. Goldston

arxiv:0910.2960 v3 · 2009-10-15 · 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{J253IBWR5RBNB44XS7JHO544NI}

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	2026-05-18T04:27:36.355967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ebbb406d1ec42d0f39797d277779c6a189027c844c3344016fbff18c8a518b1

Aliases

arxiv: 0910.2960 · arxiv_version: 0910.2960v3 · doi: 10.48550/arxiv.0910.2960 · pith_short_12: J253IBWR5RBN · pith_short_16: J253IBWR5RBNB44X · pith_short_8: J253IBWR

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/J253IBWR5RBNB44XS7JHO544NI \
  | 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: 4ebbb406d1ec42d0f39797d277779c6a189027c844c3344016fbff18c8a518b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed3f16d2ad8db3fe766608656a11aa11b139978e009dd759a12e15e12e3960a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-10-15T18:36:40Z",
    "title_canon_sha256": "998670413471c9831ecc9915ea303d696ee43ef84d68dbb39d40770a9eb5a0f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2960",
    "kind": "arxiv",
    "version": 3
  }
}