Pith Number

pith:6CTULHA7

pith:2026:6CTULHA7OWWBVOMOYLWXX53ZIH

not attested not anchored not stored refs pending

Accelerating GMRES with Matrix-Free Multiscale Robin Preconditioners

Dilong Zhou, Fabr\'icio S. Sousa, Felipe Pereira, Rafael T. Guiraldello

arxiv:2606.08883 v1 · 2026-06-07 · 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{6CTULHA7OWWBVOMOYLWXX53ZIH}

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	2026-06-09T02:07:45.224443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0a7459c1f75ac1ab98ec2ed7bf77941d471d452ce200efb5ec27ef1b27ce33d

Aliases

arxiv: 2606.08883 · arxiv_version: 2606.08883v1 · doi: 10.48550/arxiv.2606.08883 · pith_short_12: 6CTULHA7OWWB · pith_short_16: 6CTULHA7OWWBVOMO · pith_short_8: 6CTULHA7

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/6CTULHA7OWWBVOMOYLWXX53ZIH \
  | 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: f0a7459c1f75ac1ab98ec2ed7bf77941d471d452ce200efb5ec27ef1b27ce33d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e80fd4c3cf7cbf5600a38101af7448f7a8e521effd44e4d43570a6fbd6da3479",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-07T23:54:23Z",
    "title_canon_sha256": "cbdf4b5ca8b398a0c3d28852313c58d345179dac67d3492c53de7afd7b229f4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08883",
    "kind": "arxiv",
    "version": 1
  }
}