Pith Number

pith:GDEFH4GQ

pith:2017:GDEFH4GQWEX3B6IFOLOADD4UZ2

not attested not anchored not stored refs pending

A necessary and sufficient criterion for the existence of ratio limits of sequences generated by linear recurrences

Igor Szczyrba

arxiv:1704.02514 v1 · 2017-04-08 · 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{GDEFH4GQWEX3B6IFOLOADD4UZ2}

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	2026-05-18T00:46:45.272414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30c853f0d0b12fb0f90572dc018f94cebc500e685ab9cbcce6eee57fc23cd4d1

Aliases

arxiv: 1704.02514 · arxiv_version: 1704.02514v1 · doi: 10.48550/arxiv.1704.02514 · pith_short_12: GDEFH4GQWEX3 · pith_short_16: GDEFH4GQWEX3B6IF · pith_short_8: GDEFH4GQ

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/GDEFH4GQWEX3B6IFOLOADD4UZ2 \
  | 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: 30c853f0d0b12fb0f90572dc018f94cebc500e685ab9cbcce6eee57fc23cd4d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51ab18f66e88d6f901543840fe376068a199fecf0d9ee1596d1b8988dc3c5db2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-08T16:55:06Z",
    "title_canon_sha256": "bbe9b9df26074eb195a746ef5a815a52c42c35cf16694e345ab44e893c8e5292"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02514",
    "kind": "arxiv",
    "version": 1
  }
}