Pith Number

pith:6D3ZW5KY

pith:2022:6D3ZW5KYRP2IQ56BFI2462VAVS

not attested not anchored not stored refs pending

Effective exponential bounds on the prime gaps

Matt Visser (Victoria University of Wellington)

arxiv:2211.06469 v1 · 2022-11-11 · 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{6D3ZW5KYRP2IQ56BFI2462VAVS}

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.

Cited by

1 paper in Pith

The n-th prime exponentially

Receipt and verification

First computed	2026-07-05T10:54:29.260489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0f79b75588bf48877c12a35cf6aa0aca744594eb816211bb6f54b6f3f3f8100

Aliases

arxiv: 2211.06469 · arxiv_version: 2211.06469v1 · doi: 10.48550/arxiv.2211.06469 · pith_short_12: 6D3ZW5KYRP2I · pith_short_16: 6D3ZW5KYRP2IQ56B · pith_short_8: 6D3ZW5KY

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/6D3ZW5KYRP2IQ56BFI2462VAVS \
  | 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: f0f79b75588bf48877c12a35cf6aa0aca744594eb816211bb6f54b6f3f3f8100

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55691fb63c7355bca3de28d5f6c1d7ad426d553d37d8ad314a6777d4a4d4dba8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-11-11T20:08:26Z",
    "title_canon_sha256": "18d3ccf5cc4380b0ad3a9a1bf05f2b92943b9cfde90b6fc1c6c9cfaa68e23ebb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.06469",
    "kind": "arxiv",
    "version": 1
  }
}