Pith Number

pith:VBX7KPFB

pith:2026:VBX7KPFB7KXSA653FUO6NYOGQI

not attested not anchored not stored refs pending

Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement

Alexander Xue, Deanna Needell, Ethan N. Epperly, Micha{\l} Derezi\'nski

arxiv:2605.17185 v1 · 2026-05-16 · 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{VBX7KPFB7KXSA653FUO6NYOGQI}

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	2026-05-20T00:03:43.978240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a86ff53ca1faaf207bbb2d1de6e1c68217db299ef0b2f4d25617b27f8e34ee78

Aliases

arxiv: 2605.17185 · arxiv_version: 2605.17185v1 · doi: 10.48550/arxiv.2605.17185 · pith_short_12: VBX7KPFB7KXS · pith_short_16: VBX7KPFB7KXSA653 · pith_short_8: VBX7KPFB

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/VBX7KPFB7KXSA653FUO6NYOGQI \
  | 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: a86ff53ca1faaf207bbb2d1de6e1c68217db299ef0b2f4d25617b27f8e34ee78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "128f2739e5fc9417ea692bfc238de04a454bababe997fbb39881027c903d980c",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-16T22:45:58Z",
    "title_canon_sha256": "6be0b64f1880406814c95d6d6d5501c61fa1655ecded1411177b0c2529df7541"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17185",
    "kind": "arxiv",
    "version": 1
  }
}