Pith Number

pith:LKAWT4SK

pith:2011:LKAWT4SK7QNGMJAKZPD3IC4E7J

not attested not anchored not stored refs pending

Generalized companion matrix for approximate GCD

Olivier Ruatta, Paola Boito

arxiv:1102.1809 v1 · 2011-02-09 · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LKAWT4SK7QNGMJAKZPD3IC4E7J}

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	2026-05-18T00:53:19.678946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a8169f24afc1a66240acbc7b40b84fa7d7720cafbe7b3258f8cbb68a402a901

Aliases

arxiv: 1102.1809 · arxiv_version: 1102.1809v1 · doi: 10.48550/arxiv.1102.1809 · pith_short_12: LKAWT4SK7QNG · pith_short_16: LKAWT4SK7QNGMJAK · pith_short_8: LKAWT4SK

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/LKAWT4SK7QNGMJAKZPD3IC4E7J \
  | 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: 5a8169f24afc1a66240acbc7b40b84fa7d7720cafbe7b3258f8cbb68a402a901

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41194ccff89bcb658991457b22d1f98b96d7538ebc9e7b48ec15150cba2d394a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2011-02-09T08:26:25Z",
    "title_canon_sha256": "1d0fdb44480cd7f6d0b31d59b9c9f38d9cff4c5dfb6a42bc4b6bef16fd956adb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1809",
    "kind": "arxiv",
    "version": 1
  }
}