Pith Number

pith:5QJ4YKMJ

pith:2013:5QJ4YKMJLFO7ECJJJBCNM6XFWK

not attested not anchored not stored refs pending

ML(n)BiCGStabt: A ML(n)BiCGStab variant with A-transpose

Man-Chung Yeung

arxiv:1311.0583 v1 · 2013-11-04 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QJ4YKMJLFO7ECJJJBCNM6XFWK}

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	2026-05-18T03:08:05.428369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec13cc2989595df209294844d67ae5b2a98d9eadb9b2ef2efd72ca0710c715ea

Aliases

arxiv: 1311.0583 · arxiv_version: 1311.0583v1 · doi: 10.48550/arxiv.1311.0583 · pith_short_12: 5QJ4YKMJLFO7 · pith_short_16: 5QJ4YKMJLFO7ECJJ · pith_short_8: 5QJ4YKMJ

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/5QJ4YKMJLFO7ECJJJBCNM6XFWK \
  | 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: ec13cc2989595df209294844d67ae5b2a98d9eadb9b2ef2efd72ca0710c715ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02782f167c81fd2735da6f8b9056a02706816542e55548662bbbede5911ec631",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-11-04T04:59:45Z",
    "title_canon_sha256": "45a68dfe980f69b5e449252d30546ea99a391c797cb9e6f5062f0253b0bdc313"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0583",
    "kind": "arxiv",
    "version": 1
  }
}