Pith Number

pith:JZTBCPGW

pith:2019:JZTBCPGWR4JTFWCGO4P7DILBER

not attested not anchored not stored refs pending

The spectral properties of Vandermonde matrices with clustered nodes

Benedikt Diederichs, Dmitry Batenkov, Gil Goldman, Yosef Yomdin

arxiv:1909.01927 v2 · 2019-09-04 · 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{JZTBCPGWR4JTFWCGO4P7DILBER}

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	2026-07-05T01:21:46.302210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e66113cd68f1332d846771ff1a161247c1c65d40dac4d233dc96d6c4e7bd45a

Aliases

arxiv: 1909.01927 · arxiv_version: 1909.01927v2 · doi: 10.48550/arxiv.1909.01927 · pith_short_12: JZTBCPGWR4JT · pith_short_16: JZTBCPGWR4JTFWCG · pith_short_8: JZTBCPGW

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/JZTBCPGWR4JTFWCGO4P7DILBER \
  | 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: 4e66113cd68f1332d846771ff1a161247c1c65d40dac4d233dc96d6c4e7bd45a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f222f74941a5e5546601eb0937bb5b2c0d47116956440ef2bf2e8517b29b1b1",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-09-04T16:23:04Z",
    "title_canon_sha256": "1c975018adc8ffdc9ff01064728ba8b9fe2166288380d13c05dc37d812b1cacf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.01927",
    "kind": "arxiv",
    "version": 2
  }
}