Pith Number

pith:VHUGRRR7

pith:2010:VHUGRRR7ZQGFMQQERBQ4ZHD5EQ

not attested not anchored not stored refs pending

On numbers $n$ dividing the $n$th term of a linear recurrence

Carl Pomerance, Florian Luca, Igor Shparlinski, Juan Jose Alba Gonzalez

arxiv:1010.4544 v2 · 2010-10-21 · 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{VHUGRRR7ZQGFMQQERBQ4ZHD5EQ}

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	2026-05-18T04:30:13.743956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9e868c63fcc0c5642048861cc9c7d241bc89dc46da45729532e618f2956725f

Aliases

arxiv: 1010.4544 · arxiv_version: 1010.4544v2 · doi: 10.48550/arxiv.1010.4544 · pith_short_12: VHUGRRR7ZQGF · pith_short_16: VHUGRRR7ZQGFMQQE · pith_short_8: VHUGRRR7

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/VHUGRRR7ZQGFMQQERBQ4ZHD5EQ \
  | 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: a9e868c63fcc0c5642048861cc9c7d241bc89dc46da45729532e618f2956725f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47f7343be783627ee0b9108ac867148c745d48000de2409571589ecb4c0bef5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-10-21T18:06:42Z",
    "title_canon_sha256": "28764e9981111798080e82c9c40715c8945d9ae9f49141143b610f3c054ec685"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4544",
    "kind": "arxiv",
    "version": 2
  }
}