Pith Number

pith:3KRQYR7F

pith:2011:3KRQYR7FKK6374ZOVR6BE47TAJ

not attested not anchored not stored refs pending

The continued fractions ladder of $(\sqrt[3]{m},\sqrt[3]{m^2})$

Marjeta \v{S}kapin Rugelj, Mitja Lakner, Peter Petek

arxiv:1108.0087 v1 · 2011-07-30 · 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{3KRQYR7FKK6374ZOVR6BE47TAJ}

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	2026-05-18T04:16:31.708220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daa30c47e552bdbff32eac7c1273f3025a485f0232a2a83036d81c124e54526d

Aliases

arxiv: 1108.0087 · arxiv_version: 1108.0087v1 · doi: 10.48550/arxiv.1108.0087 · pith_short_12: 3KRQYR7FKK63 · pith_short_16: 3KRQYR7FKK6374ZO · pith_short_8: 3KRQYR7F

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/3KRQYR7FKK6374ZOVR6BE47TAJ \
  | 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: daa30c47e552bdbff32eac7c1273f3025a485f0232a2a83036d81c124e54526d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7a6b0def3a37f7eb168b6f1d33c6bc141c7d7e6f2245c2737de44bc779ebd35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-30T16:45:36Z",
    "title_canon_sha256": "ce307eb6e2a7a3e2bb6ee4996099a8eb1b49930a0bd449f56ef34eb3d83ba8a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0087",
    "kind": "arxiv",
    "version": 1
  }
}