Pith Number

pith:PXZ5TNWD

pith:2010:PXZ5TNWDV2X5JJ5SZ773MVDHTX

not attested not anchored not stored refs pending

On the intersections of Fibonacci, Pell, and Lucas numbers

Max A. Alekseyev

arxiv:1002.1679 v2 · 2010-02-08 · math.NT · cs.DM · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXZ5TNWDV2X5JJ5SZ773MVDHTX}

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	2026-05-18T04:20:13.233800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7df3d9b6c3aeafd4a7b2cfffb654679df14fd222d505c6d5cf2a5d204244de7c

Aliases

arxiv: 1002.1679 · arxiv_version: 1002.1679v2 · doi: 10.48550/arxiv.1002.1679 · pith_short_12: PXZ5TNWDV2X5 · pith_short_16: PXZ5TNWDV2X5JJ5S · pith_short_8: PXZ5TNWD

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/PXZ5TNWDV2X5JJ5SZ773MVDHTX \
  | 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: 7df3d9b6c3aeafd4a7b2cfffb654679df14fd222d505c6d5cf2a5d204244de7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0b7e157eb41fca45c644e11dca7519b2272c2c43389f522e43dc29b6d5db6d2",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-02-08T20:08:08Z",
    "title_canon_sha256": "4e22fbd1e0152af26715fb81302c0f59ac099feb42d125ac328ea84081fe7896"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1679",
    "kind": "arxiv",
    "version": 2
  }
}