Pith Number

pith:KTY6JF4S

pith:2015:KTY6JF4S5BKSMEB5AU46CERRKO

not attested not anchored not stored refs pending

A new enlightenment about gaps between primes

Samir Brahim Belhaouari

arxiv:1512.00970 v6 · 2015-12-03 · math.GM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KTY6JF4S5BKSMEB5AU46CERRKO}

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	2026-05-18T01:04:33.119310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54f1e49792e85526103d0539e1123153a8b822a7718ff0aa193eeb1abb7cecb4

Aliases

arxiv: 1512.00970 · arxiv_version: 1512.00970v6 · doi: 10.48550/arxiv.1512.00970 · pith_short_12: KTY6JF4S5BKS · pith_short_16: KTY6JF4S5BKSMEB5 · pith_short_8: KTY6JF4S

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/KTY6JF4S5BKSMEB5AU46CERRKO \
  | 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: 54f1e49792e85526103d0539e1123153a8b822a7718ff0aa193eeb1abb7cecb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b423c14bedc5461021abf31fed9180e434e39a1623733fffbbe368a018a88a0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2015-12-03T07:12:06Z",
    "title_canon_sha256": "189b81e53e0b075e0a53cfa1a2d020578c90e4666429263680cd871951b83ee5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00970",
    "kind": "arxiv",
    "version": 6
  }
}