Pith Number

pith:M72U5ZNV

pith:2024:M72U5ZNVNHUYZYFDZ2PGLHOYRG

not attested not anchored not stored refs pending

Popular differences in primes along fractional powers

Bora \c{C}al{\i}m, Deborah Wooton, Ioannis Iakovakis, Jack Moffatt, Sophie Long

arxiv:2411.17599 v1 · 2024-11-26 · 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{M72U5ZNVNHUYZYFDZ2PGLHOYRG}

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	2026-07-05T09:40:49.465658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67f54ee5b569e98ce0a3ce9e659dd889b02129408905b5083aadfb2fc2812088

Aliases

arxiv: 2411.17599 · arxiv_version: 2411.17599v1 · doi: 10.48550/arxiv.2411.17599 · pith_short_12: M72U5ZNVNHUY · pith_short_16: M72U5ZNVNHUYZYFD · pith_short_8: M72U5ZNV

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/M72U5ZNVNHUYZYFDZ2PGLHOYRG \
  | 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: 67f54ee5b569e98ce0a3ce9e659dd889b02129408905b5083aadfb2fc2812088

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb0a935a9953cb99f1c1a6c791362e239215c2b23c9f814a66a693e3c3f420b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-26T17:06:47Z",
    "title_canon_sha256": "492d423bf38737b577b9f5321f9f68e7bef75c85d59963d9963ddf95a8c42125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17599",
    "kind": "arxiv",
    "version": 1
  }
}