Pith Number

pith:V5YPS6DT

pith:2025:V5YPS6DT4YWKDE2AXE5TWFST5E

not attested not anchored not stored refs pending

Eigenvalue bounds for preconditioned symmetric multiple saddle-point matrices

A. Martinez, A. Potschka, J.W. Pearson, L. Bergamaschi

arxiv:2506.02816 v1 · 2025-06-03 · math.NA · cs.NA · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5YPS6DT4YWKDE2AXE5TWFST5E}

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	2026-07-05T11:15:09.712499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af70f97873e62ca19340b93b3b1653e934fc45fc8a3479e2b61dc0428eeb1fe6

Aliases

arxiv: 2506.02816 · arxiv_version: 2506.02816v1 · doi: 10.48550/arxiv.2506.02816 · pith_short_12: V5YPS6DT4YWK · pith_short_16: V5YPS6DT4YWKDE2A · pith_short_8: V5YPS6DT

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/V5YPS6DT4YWKDE2AXE5TWFST5E \
  | 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: af70f97873e62ca19340b93b3b1653e934fc45fc8a3479e2b61dc0428eeb1fe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90732bce141e671d3d23cb4d242ee6ad5c254b0337255846daaa041bbc618219",
    "cross_cats_sorted": [
      "cs.NA",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-06-03T12:46:26Z",
    "title_canon_sha256": "6291279c3027eb18116cb30bc14703ad6cc37ce5c7ce2bea21dedbfa73db68a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02816",
    "kind": "arxiv",
    "version": 1
  }
}