Pith Number

pith:IFKOLA7H

pith:2025:IFKOLA7HW5O5DWTAXZK5DOHHPK

not attested not anchored not stored refs pending

Matrix nearness problems and eigenvalue optimization

Christian Lubich, Nicola Guglielmi

arxiv:2503.14750 v4 · 2025-03-18 · math.NA · cs.NA · math.DS · 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{IFKOLA7HW5O5DWTAXZK5DOHHPK}

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.

Cited by

3 papers in Pith

Manifold-based Algorithms for the Hadamard Decomposition

Nearest matrix with multiple eigenvalues by Riemannian optimization

Characterization of stability radii for robustly asymptotically stable dissipative Hamiltonian differential-algebraic systems

Receipt and verification

First computed	2026-07-14T02:21:16.789563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4154e583e7b75dd1da60be55d1b8e77ab003b11986245e8e2e535b2e95bc5a87

Aliases

arxiv: 2503.14750 · arxiv_version: 2503.14750v4 · doi: 10.48550/arxiv.2503.14750 · pith_short_12: IFKOLA7HW5O5 · pith_short_16: IFKOLA7HW5O5DWTA · pith_short_8: IFKOLA7H

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/IFKOLA7HW5O5DWTAXZK5DOHHPK \
  | 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: 4154e583e7b75dd1da60be55d1b8e77ab003b11986245e8e2e535b2e95bc5a87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f76283173e731345144bcf847e7a50d1cae98fea87bb28d9e00be36e65bb200",
    "cross_cats_sorted": [
      "cs.NA",
      "math.DS",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-03-18T21:37:42Z",
    "title_canon_sha256": "d2c3c4365639beaa8bc72e834ed344121145f0e1e9206e8f538dc3fdba18d286"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.14750",
    "kind": "arxiv",
    "version": 4
  }
}