Pith Number

pith:IVUVRBRZ

pith:2021:IVUVRBRZO46UDXZUVQ245BMJS7

not attested not anchored not stored refs pending

Primes between consecutive powers

Michaela Cully-Hugill

arxiv:2107.14468 v3 · 2021-07-30 · 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{IVUVRBRZO46UDXZUVQ245BMJS7}

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

Effective short intervals containing primes

Receipt and verification

First computed	2026-07-05T05:41:14.889762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4569588639773d41df34ac35ce858997cba9d6730b3d445241db8c067cc25c6c

Aliases

arxiv: 2107.14468 · arxiv_version: 2107.14468v3 · doi: 10.48550/arxiv.2107.14468 · pith_short_12: IVUVRBRZO46U · pith_short_16: IVUVRBRZO46UDXZU · pith_short_8: IVUVRBRZ

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/IVUVRBRZO46UDXZUVQ245BMJS7 \
  | 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: 4569588639773d41df34ac35ce858997cba9d6730b3d445241db8c067cc25c6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13f4a2cefe16757e30c97ccf7ed71d6e5cc3f2f9885ea253b7403341cdcc324c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-07-30T07:36:22Z",
    "title_canon_sha256": "743532d908e0333704a1eb2ed5a3ed7202b9ab7064c58664f5fd5437bd816dbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.14468",
    "kind": "arxiv",
    "version": 3
  }
}