Pith Number

pith:QPTXORTB

pith:2012:QPTXORTB7C2SYSPBOXGZGQ43WA

not attested not anchored not stored refs pending

An Approach to Making SPAI and PSAI Preconditioning Effective for Large Irregular Sparse Linear Systems

Qian Zhang, Zhongxiao Jia

arxiv:1211.6866 v4 · 2012-11-29 · 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{QPTXORTB7C2SYSPBOXGZGQ43WA}

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	2026-05-18T02:23:35.703598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83e7774661f8b52c49e175cd93439bb0239c318b0fea0739f48dfd3ed928f97d

Aliases

arxiv: 1211.6866 · arxiv_version: 1211.6866v4 · doi: 10.48550/arxiv.1211.6866 · pith_short_12: QPTXORTB7C2S · pith_short_16: QPTXORTB7C2SYSPB · pith_short_8: QPTXORTB

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/QPTXORTB7C2SYSPBOXGZGQ43WA \
  | 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: 83e7774661f8b52c49e175cd93439bb0239c318b0fea0739f48dfd3ed928f97d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e81c4830a670603980e643c7e6b4991d1562cd13dd3d13e7a2a1a460477d2ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-11-29T10:23:45Z",
    "title_canon_sha256": "460be94686a213bfacddc58460deac006ea981cf5fc65a91a54e7b239a1b6518"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6866",
    "kind": "arxiv",
    "version": 4
  }
}