Pith Number

pith:SL5WEPAY

pith:2018:SL5WEPAYWJQTDLRH4EAMYLHIIG

not attested not anchored not stored refs pending

How to optimize preconditioners for the conjugate gradient method: a stochastic approach

Alexandr Katrutsa, George Ovchinnikov, Ivan Oseledets, Mike Botchev

arxiv:1806.06045 v2 · 2018-06-15 · 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{SL5WEPAYWJQTDLRH4EAMYLHIIG}

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	2026-05-17T23:44:32.439700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92fb623c18b26131ae27e100cc2ce841a4ccb012db7939eae81ed4b8484b6236

Aliases

arxiv: 1806.06045 · arxiv_version: 1806.06045v2 · doi: 10.48550/arxiv.1806.06045 · pith_short_12: SL5WEPAYWJQT · pith_short_16: SL5WEPAYWJQTDLRH · pith_short_8: SL5WEPAY

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/SL5WEPAYWJQTDLRH4EAMYLHIIG \
  | 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: 92fb623c18b26131ae27e100cc2ce841a4ccb012db7939eae81ed4b8484b6236

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0506e4f2f184b2f2650b0049a5f08c95a851b9d88b66b3c2553a4861592f6fe7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-06-15T17:12:41Z",
    "title_canon_sha256": "99facebd76040a8e021a2609300514d759189435d305afb961ef8c75b6a3fb42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06045",
    "kind": "arxiv",
    "version": 2
  }
}