Pith Number

pith:5MYYJPGX

pith:2025:5MYYJPGXPI3VHZAQSEQRGPQ4LU

not attested not anchored not stored refs pending

Any nonincreasing convergence curves are simultaneously possible for GMRES and weighted GMRES, as well as for left and right preconditioned GMRES

Nicole Spillane, Pierre Matalon

arxiv:2506.17193 v2 · 2025-06-20 · 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{5MYYJPGXPI3VHZAQSEQRGPQ4LU}

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	2026-06-01T01:03:43.651838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb3184bcd77a3753e4109121133e1c5d0b2e8b7e33606703d0e824f3a3c842bd

Aliases

arxiv: 2506.17193 · arxiv_version: 2506.17193v2 · doi: 10.48550/arxiv.2506.17193 · pith_short_12: 5MYYJPGXPI3V · pith_short_16: 5MYYJPGXPI3VHZAQ · pith_short_8: 5MYYJPGX

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/5MYYJPGXPI3VHZAQSEQRGPQ4LU \
  | 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: eb3184bcd77a3753e4109121133e1c5d0b2e8b7e33606703d0e824f3a3c842bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05dd449eb7db8ee30e11f7e64aa79ff4ef014d3472afcb0f67cbf409a2a4b320",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-06-20T17:46:15Z",
    "title_canon_sha256": "5530ebe4145f86488ea9a3e44c1b4a0e287f6a45bf17302a032056a79cc5ce71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.17193",
    "kind": "arxiv",
    "version": 2
  }
}