Pith Number

pith:EHAZFAIN

pith:2018:EHAZFAIN7IYQBO67LGNJMEWO6F

not attested not anchored not stored refs pending

On the condition number of Vandermonde matrices with pairs of nearly-colliding nodes

Dominik Nagel, Stefan Kunis

arxiv:1812.08645 v2 · 2018-12-20 · 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{EHAZFAIN7IYQBO67LGNJMEWO6F}

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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

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T00:13:39.784482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21c192810dfa3100bbdf599a9612cef175ce23c75ebc8da4677c77419f5fb460

Aliases

arxiv: 1812.08645 · arxiv_version: 1812.08645v2 · doi: 10.48550/arxiv.1812.08645 · pith_short_12: EHAZFAIN7IYQ · pith_short_16: EHAZFAIN7IYQBO67 · pith_short_8: EHAZFAIN

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/EHAZFAIN7IYQBO67LGNJMEWO6F \
  | 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: 21c192810dfa3100bbdf599a9612cef175ce23c75ebc8da4677c77419f5fb460

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "860e895dd4ae94a27b68c07764fe06519619b004bd3ca698bc0b157a47626a2c",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-12-20T15:47:25Z",
    "title_canon_sha256": "c40dd19e9f1f427df4f79599ea8b9a70880d694977cf82b3a8ce2f7aba05479b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08645",
    "kind": "arxiv",
    "version": 2
  }
}