Pith Number

pith:M3BSE2PN

pith:2025:M3BSE2PNTX3GLQIXHCFDHJNUB4

not attested not anchored not stored refs pending

Nearest matrix with multiple eigenvalues by Riemannian optimization

Federico Poloni, Lauri Nyman, Vanni Noferini

arxiv:2509.26344 v2 · 2025-09-30 · 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{M3BSE2PNTX3GLQIXHCFDHJNUB4}

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	2026-05-18T03:10:12.166750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66c32269ed9df665c117388a33a5b40f18efd0c19f3bb35557d0763b04a81ec9

Aliases

arxiv: 2509.26344 · arxiv_version: 2509.26344v2 · doi: 10.48550/arxiv.2509.26344 · pith_short_12: M3BSE2PNTX3G · pith_short_16: M3BSE2PNTX3GLQIX · pith_short_8: M3BSE2PN

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/M3BSE2PNTX3GLQIXHCFDHJNUB4 \
  | 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: 66c32269ed9df665c117388a33a5b40f18efd0c19f3bb35557d0763b04a81ec9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae990f3a1ddc72df6563284a83c63b259e9b72523ec208135c4fb4dfb405703c",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-09-30T14:50:45Z",
    "title_canon_sha256": "7f296ba592483607c90c26316eeccbdd6824ab31a26249ff040afaca54378034"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.26344",
    "kind": "arxiv",
    "version": 2
  }
}