Pith Number

pith:3U74PC5K

pith:2015:3U74PC5KAIUKQVDRJKLQRTEKX2

not attested not anchored not stored refs pending

On a conjecture of Erd\H{O}s, P\'olya and Tur\'an on consecutive gaps between primes

J\'anos Pintz

arxiv:1504.06860 v1 · 2015-04-26 · 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{3U74PC5KAIUKQVDRJKLQRTEKX2}

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	2026-05-18T02:17:44.217792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd3fc78baa0228a854714a9708cc8abeb37d2d687fdd80f36a409a9d25cd7342

Aliases

arxiv: 1504.06860 · arxiv_version: 1504.06860v1 · doi: 10.48550/arxiv.1504.06860 · pith_short_12: 3U74PC5KAIUK · pith_short_16: 3U74PC5KAIUKQVDR · pith_short_8: 3U74PC5K

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/3U74PC5KAIUKQVDRJKLQRTEKX2 \
  | 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: dd3fc78baa0228a854714a9708cc8abeb37d2d687fdd80f36a409a9d25cd7342

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c14fafc01f5c634a2db8ca09d8625a98332b24c9e09bc4a3ba3940d1be40968c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-26T18:15:26Z",
    "title_canon_sha256": "066b4e9d2146a8b02f3dec54f2d77ae7c933bf631f0271392e2b9bca8542ea93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06860",
    "kind": "arxiv",
    "version": 1
  }
}