Pith Number

pith:UZ4Z6JQ7

pith:2012:UZ4Z6JQ72JPLMDBTUPE5NHB2HZ

not attested not anchored not stored refs pending

On bilinear algorithms for multiplication in quaternion algebras

Vladimir Lysikov

arxiv:1206.5501 v2 · 2012-06-24 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZ4Z6JQ72JPLMDBTUPE5NHB2HZ}

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	2026-05-18T03:46:58.741813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6799f261fd25eb60c33a3c9d69c3a3e6ab2afa513701b3cbf5a69285dac3d71

Aliases

arxiv: 1206.5501 · arxiv_version: 1206.5501v2 · doi: 10.48550/arxiv.1206.5501 · pith_short_12: UZ4Z6JQ72JPL · pith_short_16: UZ4Z6JQ72JPLMDBT · pith_short_8: UZ4Z6JQ7

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/UZ4Z6JQ72JPLMDBTUPE5NHB2HZ \
  | 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: a6799f261fd25eb60c33a3c9d69c3a3e6ab2afa513701b3cbf5a69285dac3d71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88d4d514ac7ff4e4e944bbb7a38abf40e67a6345c83da42019e4b7f7fdca4c18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-06-24T14:22:45Z",
    "title_canon_sha256": "17d31ad1f64c1ada483076364465827d754b4455c8bc14241119b93edb311ef2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5501",
    "kind": "arxiv",
    "version": 2
  }
}