Pith Number

pith:KZPABPLU

pith:2011:KZPABPLUHYGCJIRMSKQFE3BCGZ

not attested not anchored not stored refs pending

Some heuristics on the gaps between consecutive primes

Marek Wolf

arxiv:1102.0481 v3 · 2011-02-02 · 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{KZPABPLUHYGCJIRMSKQFE3BCGZ}

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	2026-05-18T00:17:55.845447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

565e00bd743e0c24a22c92a0526c2236797a1187492fc4847e09a7095a182ffc

Aliases

arxiv: 1102.0481 · arxiv_version: 1102.0481v3 · doi: 10.48550/arxiv.1102.0481 · pith_short_12: KZPABPLUHYGC · pith_short_16: KZPABPLUHYGCJIRM · pith_short_8: KZPABPLU

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/KZPABPLUHYGCJIRMSKQFE3BCGZ \
  | 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: 565e00bd743e0c24a22c92a0526c2236797a1187492fc4847e09a7095a182ffc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88c8b94d0c96102861b1cab1e4f20974d5e2ef9f40213ddf2f88ba6d4e74b32a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-02T16:37:44Z",
    "title_canon_sha256": "cbdb5370d57229259187f4f654ba385019b0b007690afd7cccfba8af40bd5090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0481",
    "kind": "arxiv",
    "version": 3
  }
}