Pith Number

pith:2TJZXCSI

pith:2026:2TJZXCSI6NAEZOMSZJKJ4HBMXW

not attested not anchored not stored refs pending

Extremal representations of functions of matrices and applications to multivariate prediction

Andreas Lasarow, Lutz Klotz, Michael Frank

arxiv:2606.19359 v1 · 2026-06-02 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TJZXCSI6NAEZOMSZJKJ4HBMXW}

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	2026-06-19T16:12:23.102443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4d39b8a48f3404cb992ca549e1c2cbdbe217189086d96a7a2f93c69c69ad5fc

Aliases

arxiv: 2606.19359 · arxiv_version: 2606.19359v1 · doi: 10.48550/arxiv.2606.19359 · pith_short_12: 2TJZXCSI6NAE · pith_short_16: 2TJZXCSI6NAEZOMS · pith_short_8: 2TJZXCSI

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/2TJZXCSI6NAEZOMSZJKJ4HBMXW \
  | 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: d4d39b8a48f3404cb992ca549e1c2cbdbe217189086d96a7a2f93c69c69ad5fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a824d77630ab9ea0ceefe791b6b5c3a6a063cffc79b43adebe8afd563aff7efc",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-02T20:05:19Z",
    "title_canon_sha256": "6ef4d31e6790b0f208b172c9d121a66fda21b68f9e106fff074c048d32fab3e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19359",
    "kind": "arxiv",
    "version": 1
  }
}