Pith Number

pith:LBG52634

pith:2025:LBG52634KCQCYYH42PXGFLNVX5

not attested not anchored not stored refs pending

Neural Preconditioning via Krylov Subspace Geometry

Alessandro Coclite, Nunzio Dimola, Paolo Zunino

arxiv:2507.15452 v1 · 2025-07-21 · 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{LBG52634KCQCYYH42PXGFLNVX5}

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	2026-07-05T11:40:37.351450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

584ddd7b7c50a02c60fcd3ee62adb5bf47b94cdd5634cba4b19315f87c81d83b

Aliases

arxiv: 2507.15452 · arxiv_version: 2507.15452v1 · doi: 10.48550/arxiv.2507.15452 · pith_short_12: LBG52634KCQC · pith_short_16: LBG52634KCQCYYH4 · pith_short_8: LBG52634

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/LBG52634KCQCYYH42PXGFLNVX5 \
  | 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: 584ddd7b7c50a02c60fcd3ee62adb5bf47b94cdd5634cba4b19315f87c81d83b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b316c7f77057e0936002d339de5f732ed039c6b2c73aadfb370d130c949cd6f9",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-07-21T10:03:55Z",
    "title_canon_sha256": "0c99f4cf35d78e69f5c89614d0f32683d23b7773928952b488502500c42872f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15452",
    "kind": "arxiv",
    "version": 1
  }
}