Pith Number

pith:QO7EDV4H

pith:2015:QO7EDV4HEIXNTXOPDJT7HMJ3A3

not attested not anchored not stored refs pending

Complementary Families of the Fibonacci-Lucas Relations

Helmut Prodinger, Ivica Martinjak

arxiv:1508.04949 v2 · 2015-08-20 · math.CO · 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{QO7EDV4HEIXNTXOPDJT7HMJ3A3}

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	2026-05-18T01:11:43.790155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83be41d787222ed9ddcf1a67f3b13b06e6fefec8b7f62b58dba82417573dbffa

Aliases

arxiv: 1508.04949 · arxiv_version: 1508.04949v2 · doi: 10.48550/arxiv.1508.04949 · pith_short_12: QO7EDV4HEIXN · pith_short_16: QO7EDV4HEIXNTXOP · pith_short_8: QO7EDV4H

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/QO7EDV4HEIXNTXOPDJT7HMJ3A3 \
  | 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: 83be41d787222ed9ddcf1a67f3b13b06e6fefec8b7f62b58dba82417573dbffa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65740b7b835bd39ff59580200850f1457565e622a0e96b3593cd508a9a04d93e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-20T10:50:32Z",
    "title_canon_sha256": "5d3873438c8f6b3e55d7a411034d58b3ae824181cfe1b04bf142184acdd00b28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04949",
    "kind": "arxiv",
    "version": 2
  }
}