Pith Number

pith:MAUXVQBK

pith:2019:MAUXVQBKEMM4FEU3JVK6KYKDWU

not attested not anchored not stored refs pending

On the smallest singular value of multivariate Vandermonde matrices with clustered nodes

Dominik Nagel, Stefan Kunis

arxiv:1907.07119 v1 · 2019-07-16 · 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{MAUXVQBKEMM4FEU3JVK6KYKDWU}

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	2026-05-17T23:40:28.004396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60297ac02a2319c2929b4d55e56143b5156cd95cfc96e3bc1c71de9143651535

Aliases

arxiv: 1907.07119 · arxiv_version: 1907.07119v1 · doi: 10.48550/arxiv.1907.07119 · pith_short_12: MAUXVQBKEMM4 · pith_short_16: MAUXVQBKEMM4FEU3 · pith_short_8: MAUXVQBK

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/MAUXVQBKEMM4FEU3JVK6KYKDWU \
  | 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: 60297ac02a2319c2929b4d55e56143b5156cd95cfc96e3bc1c71de9143651535

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a544e0795fde0886b54e286f7b34df32a7e32d33d7d175ed7a4dce9589e54ac9",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-07-16T16:55:13Z",
    "title_canon_sha256": "b1a20909b489975977dd8cbf88a0b5d42cdaa9e609fbab0f4828028a8569d162"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07119",
    "kind": "arxiv",
    "version": 1
  }
}