Pith Number

pith:MPQOIAO3

pith:2017:MPQOIAO3A3VOAWL7W2ECNMLEKU

not attested not anchored not stored refs pending

On arithmetic progressions in Lucas sequences

Lajos Hajdu, M\'arton Szikszai, Volker Ziegler

arxiv:1703.06722 v2 · 2017-03-20 · 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{MPQOIAO3A3VOAWL7W2ECNMLEKU}

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	2026-05-18T00:38:35.880041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63e0e401db06eae0597fb68826b164550a0cf563fdafc19cbed4899808e074f4

Aliases

arxiv: 1703.06722 · arxiv_version: 1703.06722v2 · doi: 10.48550/arxiv.1703.06722 · pith_short_12: MPQOIAO3A3VO · pith_short_16: MPQOIAO3A3VOAWL7 · pith_short_8: MPQOIAO3

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/MPQOIAO3A3VOAWL7W2ECNMLEKU \
  | 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: 63e0e401db06eae0597fb68826b164550a0cf563fdafc19cbed4899808e074f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87fff95b19293d6c7c5badbcfc806224e0e6543d91540ab84f528f16e8b1d8cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-20T13:06:29Z",
    "title_canon_sha256": "0a6a358551983ed3c2956bb8687ba41872f5c5c13bcfed95913458152aa8b7f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06722",
    "kind": "arxiv",
    "version": 2
  }
}