Pith Number

pith:N5YCLWF6

pith:2020:N5YCLWF63FPIGJKQ5S5WNM6RTM

not attested not anchored not stored refs pending

Spectral Analysis of the Koopman Operator for Partial Differential Equations

Hiroya Nakao, Igor Mezi\'c

arxiv:2004.10074 v2 · 2020-04-21 · nlin.PS · math.DS · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N5YCLWF63FPIGJKQ5S5WNM6RTM}

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.

Cited by

1 paper in Pith

Quantum mechanics for classical transport equations

Receipt and verification

First computed	2026-07-05T02:46:00.320789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f7025d8bed95e832550ecbb66b3d19b0f426dab6f2bac8af4d193d0c0bd7591

Aliases

arxiv: 2004.10074 · arxiv_version: 2004.10074v2 · doi: 10.48550/arxiv.2004.10074 · pith_short_12: N5YCLWF63FPI · pith_short_16: N5YCLWF63FPIGJKQ · pith_short_8: N5YCLWF6

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/N5YCLWF63FPIGJKQ5S5WNM6RTM \
  | 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: 6f7025d8bed95e832550ecbb66b3d19b0f426dab6f2bac8af4d193d0c0bd7591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c5314a8f16cc4ff2b9cd415c93f8522e960d9b385fe786e20c33240ae696870",
    "cross_cats_sorted": [
      "math.DS",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2020-04-21T15:01:57Z",
    "title_canon_sha256": "65e12259664f814400defea72b9a9a65695d8ce9f77c357e5e8f2813886447f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.10074",
    "kind": "arxiv",
    "version": 2
  }
}