Pith Number

pith:2XN2KFBT

pith:2025:2XN2KFBTKZDA3VSS63JDJFRRTZ

not attested not anchored not stored refs pending

An Empirical Study of Conjugate Gradient Preconditioners for Solving Symmetric Positive Definite Systems of Linear Equations

David F. Gleich, Marc A. Tunnell

arxiv:2505.20696 v1 · 2025-05-27 · math.NA · cs.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{2XN2KFBTKZDA3VSS63JDJFRRTZ}

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	2026-07-05T11:10:17.068180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5dba5143356460dd652f6d23496319e7dd0ea5bb688c3c856473ba10ee6c563

Aliases

arxiv: 2505.20696 · arxiv_version: 2505.20696v1 · doi: 10.48550/arxiv.2505.20696 · pith_short_12: 2XN2KFBTKZDA · pith_short_16: 2XN2KFBTKZDA3VSS · pith_short_8: 2XN2KFBT

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/2XN2KFBTKZDA3VSS63JDJFRRTZ \
  | 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: d5dba5143356460dd652f6d23496319e7dd0ea5bb688c3c856473ba10ee6c563

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17a19d1b3cf31a52d0b8204e789378dd5dbd48fd212eb87d4617c15483d89eab",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-05-27T04:05:16Z",
    "title_canon_sha256": "cf7bc8de12470629fc08ed310a5f29241cac089b9d6f99c6a442562ce9f9c8ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.20696",
    "kind": "arxiv",
    "version": 1
  }
}