Pith Number

pith:OP53OQOR

pith:2014:OP53OQORYADWIT3HZDUXO5PCTE

not attested not anchored not stored refs pending

Large gaps between consecutive prime numbers

Ben Green, Kevin Ford, Sergei Konyagin, Terence Tao

arxiv:1408.4505 v2 · 2014-08-20 · 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{OP53OQORYADWIT3HZDUXO5PCTE}

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	2026-05-18T01:11:03.586564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73fbb741d1c007644f67c8e97775e2992d05d63cb3767138545523ab7408db15

Aliases

arxiv: 1408.4505 · arxiv_version: 1408.4505v2 · doi: 10.48550/arxiv.1408.4505 · pith_short_12: OP53OQORYADW · pith_short_16: OP53OQORYADWIT3H · pith_short_8: OP53OQOR

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/OP53OQORYADWIT3HZDUXO5PCTE \
  | 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: 73fbb741d1c007644f67c8e97775e2992d05d63cb3767138545523ab7408db15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f9c0ed9188e3b7a958c8c51e38bfc6a6167aea831cae52515b5181696faf38b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-20T01:41:55Z",
    "title_canon_sha256": "4b96318c31f64093b2de6d369c3f6cd256896a061214b4b2bc1108661861b4c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4505",
    "kind": "arxiv",
    "version": 2
  }
}