Pith Number

pith:WDZEE7OC

pith:2026:WDZEE7OCQYFIJUQDVK7CXQTMWX

not attested not anchored not stored refs pending

Hybrid Digital-Analog Approximate Inverse Preconditioning for Krylov Methods

Lior Horesh, Rui Peng Li, Shikhar Shah, Tayfun Gokmen, Vassilis Kalantzis, Yuanzhe Xi

arxiv:2606.17227 v1 · 2026-06-15 · 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{WDZEE7OCQYFIJUQDVK7CXQTMWX}

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	2026-06-19T16:10:06.411701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f2427dc2860a84d203aabe2bc26cb5d9734350bb50f1834834afbfa4281720

Aliases

arxiv: 2606.17227 · arxiv_version: 2606.17227v1 · doi: 10.48550/arxiv.2606.17227 · pith_short_12: WDZEE7OCQYFI · pith_short_16: WDZEE7OCQYFIJUQD · pith_short_8: WDZEE7OC

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/WDZEE7OCQYFIJUQDVK7CXQTMWX \
  | 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: b0f2427dc2860a84d203aabe2bc26cb5d9734350bb50f1834834afbfa4281720

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8b46fe8834d4757e3c7d3d9f23793b05fdd8547e6cbaed12aed6cf1b3e46533",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-15T19:18:50Z",
    "title_canon_sha256": "16411fde2f8c30aca4c149c8d97a80c5a2346385b8f44d31921d6ae3261ab7ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17227",
    "kind": "arxiv",
    "version": 1
  }
}