Pith Number

pith:D5PSD5DF

pith:2018:D5PSD5DFGNZ5SBHF7D4LX5J2HL

not attested not anchored not stored refs pending

Data driven Koopman spectral analysis in Vandermonde-Cauchy form via the DFT: numerical method and theoretical insights

Igor Mezi\'c, Ryan Mohr, Zlatko Drma\v{c}

arxiv:1808.09557 v1 · 2018-08-28 · math.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{D5PSD5DFGNZ5SBHF7D4LX5J2HL}

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	2026-05-18T00:06:55.199750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f5f21f4653373d904e5f8f8bbf53a3af09c0a32670308c7d66aef5ec273c972

Aliases

arxiv: 1808.09557 · arxiv_version: 1808.09557v1 · doi: 10.48550/arxiv.1808.09557 · pith_short_12: D5PSD5DFGNZ5 · pith_short_16: D5PSD5DFGNZ5SBHF · pith_short_8: D5PSD5DF

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/D5PSD5DFGNZ5SBHF7D4LX5J2HL \
  | 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: 1f5f21f4653373d904e5f8f8bbf53a3af09c0a32670308c7d66aef5ec273c972

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2027a59b6c72e3ac720854e2824302739d2b784040e8353b7479edceac725288",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-08-28T22:17:12Z",
    "title_canon_sha256": "b6e20e6a2a170bb95372b6dd2ab0c84c8872580ffa2022ad47a22d660554942f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09557",
    "kind": "arxiv",
    "version": 1
  }
}