Pith Number

pith:HLFF4KN7

pith:2013:HLFF4KN7NTXZUNCCYMEHEBD75E

not attested not anchored not stored refs pending

Perfect numbers and Fibonacci primes

Deyi Chen, Tianxin Cai, Yong Zhang

arxiv:1310.0898 v2 · 2013-10-03 · 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{HLFF4KN7NTXZUNCCYMEHEBD75E}

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	2026-05-18T02:50:00.774945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aca5e29bf6cef9a3442c30872047fe93d74fdfd7c08ced1caf0e420cccafa37

Aliases

arxiv: 1310.0898 · arxiv_version: 1310.0898v2 · doi: 10.48550/arxiv.1310.0898 · pith_short_12: HLFF4KN7NTXZ · pith_short_16: HLFF4KN7NTXZUNCC · pith_short_8: HLFF4KN7

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/HLFF4KN7NTXZUNCCYMEHEBD75E \
  | 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: 3aca5e29bf6cef9a3442c30872047fe93d74fdfd7c08ced1caf0e420cccafa37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7c8e321c27327f803095ffdfb4a654194032c0df1d48797d22e1cce673f583c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-03T05:08:44Z",
    "title_canon_sha256": "fb5ad5ff0c9e3b1c5ee08b45d96d6de378a93fbaff61eb936bf2c83a2d9f0932"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0898",
    "kind": "arxiv",
    "version": 2
  }
}