Pith Number

pith:AN7UVT6W

pith:2015:AN7UVT6WOTNVDPCDMF5KDTTB5R

not attested not anchored not stored refs pending

On the number of distinct prime factors of a sum of super-powers

Paolo Leonetti, Salvatore Tringali

arxiv:1511.08784 v3 · 2015-11-27 · 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{AN7UVT6WOTNVDPCDMF5KDTTB5R}

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	2026-05-18T00:16:09.865968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

037f4acfd674db51bc43617aa1ce61ec613673c327a82ddaa7fef7b869af2a2d

Aliases

arxiv: 1511.08784 · arxiv_version: 1511.08784v3 · doi: 10.48550/arxiv.1511.08784 · pith_short_12: AN7UVT6WOTNV · pith_short_16: AN7UVT6WOTNVDPCD · pith_short_8: AN7UVT6W

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/AN7UVT6WOTNVDPCDMF5KDTTB5R \
  | 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: 037f4acfd674db51bc43617aa1ce61ec613673c327a82ddaa7fef7b869af2a2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2520d6692643821038826a5de41b8927d9a10b0e606f13372630f2ecc4453b3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-27T20:20:31Z",
    "title_canon_sha256": "bf7818327400f3ed9f621df23207c456afb9673f922481773bfda735502ab54b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08784",
    "kind": "arxiv",
    "version": 3
  }
}