Pith Number

pith:3RO2XXLY

pith:2021:3RO2XXLYWRUAEW6AXJUSZ2AXBF

not attested not anchored not stored refs pending

Multivariate Vandermonde matrices with separated nodes on the unit circle are stable

Anna Strotmann, Dominik Nagel, Stefan Kunis

arxiv:2103.08167 v1 · 2021-03-15 · 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{3RO2XXLYWRUAEW6AXJUSZ2AXBF}

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	2026-07-05T02:22:48.419982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc5dabdd78b468025bc0ba692ce81709451e5cdaf2d1c5cec1f863c13fa99dd0

Aliases

arxiv: 2103.08167 · arxiv_version: 2103.08167v1 · doi: 10.48550/arxiv.2103.08167 · pith_short_12: 3RO2XXLYWRUA · pith_short_16: 3RO2XXLYWRUAEW6A · pith_short_8: 3RO2XXLY

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/3RO2XXLYWRUAEW6AXJUSZ2AXBF \
  | 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: dc5dabdd78b468025bc0ba692ce81709451e5cdaf2d1c5cec1f863c13fa99dd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74a12fe46da0cc518a79913d8599666911b0196778409dc6783e7cc85988bf92",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-03-15T07:19:56Z",
    "title_canon_sha256": "f936c770e37dfb05df1023d1e311fd176da9949b3fb3c315af8d976c4138edaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.08167",
    "kind": "arxiv",
    "version": 1
  }
}