Pith Number

pith:KP5KLCHV

pith:2019:KP5KLCHVFUNAELWNXENKKEU2WP

not attested not anchored not stored refs pending

Sums of powers over equally spaced Fibonacci numbers

Helmut Prodinger

arxiv:1907.06103 v2 · 2019-07-13 · 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{KP5KLCHVFUNAELWNXENKKEU2WP}

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	2026-05-17T23:40:16.948279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53faa588f52d1a022ecdb91aa5129ab3d6d0fc48b4da5f5a8991e31415288c21

Aliases

arxiv: 1907.06103 · arxiv_version: 1907.06103v2 · doi: 10.48550/arxiv.1907.06103 · pith_short_12: KP5KLCHVFUNA · pith_short_16: KP5KLCHVFUNAELWN · pith_short_8: KP5KLCHV

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/KP5KLCHVFUNAELWNXENKKEU2WP \
  | 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: 53faa588f52d1a022ecdb91aa5129ab3d6d0fc48b4da5f5a8991e31415288c21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb6ec73f9df4e1e6497c24946038b83b52699ac8ee41ef53179b512b9e114baf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-13T16:30:01Z",
    "title_canon_sha256": "1118ff4ce932042bac925939a4739a2970e5707bc2c6ba659e6105a92fe10687"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06103",
    "kind": "arxiv",
    "version": 2
  }
}