pith. sign in
Pith Number

pith:UWRGTDJX

pith:2015:UWRGTDJXW57T3TR7N2G6I3YDCQ
not attested not anchored not stored refs pending

A Residual Based Sparse Approximate Inverse Preconditioning Procedure for Large Sparse Linear Systems

Wenjie Kang, Zhongxiao Jia

arxiv:1503.04500 v4 · 2015-03-16 · math.NA · cs.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UWRGTDJXW57T3TR7N2G6I3YDCQ}

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 2026-05-18T00:07:12.686923Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a5a2698d37b77f3dce3f6e8de46f03140b50e392fc541506b739548a3f319701

Aliases

arxiv: 1503.04500 · arxiv_version: 1503.04500v4 · doi: 10.48550/arxiv.1503.04500 · pith_short_12: UWRGTDJXW57T · pith_short_16: UWRGTDJXW57T3TR7 · pith_short_8: UWRGTDJX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UWRGTDJXW57T3TR7N2G6I3YDCQ \
  | 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: a5a2698d37b77f3dce3f6e8de46f03140b50e392fc541506b739548a3f319701
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "64b68b90629fca1f0a36192f898c37cefefa0acc14bae53253b76a48c2e88d4d",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-03-16T02:05:26Z",
    "title_canon_sha256": "ee27e79d8474fb779f7017f3953a7ff9db6537534cd55d94ba2d43fad7a44084"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04500",
    "kind": "arxiv",
    "version": 4
  }
}