Pith Number

pith:47P5YFOM

pith:2016:47P5YFOMY33MUQWFBCYNRENXUX

not attested not anchored not stored refs pending

Koopman Theory for Partial Differential Equations

J. Nathan Kutz, Joshua L. Proctor, Steven L. Brunton

arxiv:1607.07076 v1 · 2016-07-24 · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{47P5YFOMY33MUQWFBCYNRENXUX}

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

Semigroup Consistency as a Diagnostic for Learned Physics Simulators

Receipt and verification

First computed	2026-05-18T01:10:34.885236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7dfdc15ccc6f6ca42c508b0d891b7a5d46e5615add47c0675c31c1f3efe3aa8

Aliases

arxiv: 1607.07076 · arxiv_version: 1607.07076v1 · doi: 10.48550/arxiv.1607.07076 · pith_short_12: 47P5YFOMY33M · pith_short_16: 47P5YFOMY33MUQWF · pith_short_8: 47P5YFOM

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/47P5YFOMY33MUQWFBCYNRENXUX \
  | 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: e7dfdc15ccc6f6ca42c508b0d891b7a5d46e5615add47c0675c31c1f3efe3aa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "789add62ba9dcc93abb974c0799283155641f88da28936c2bf4a053f14f70a42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2016-07-24T18:26:26Z",
    "title_canon_sha256": "286c4dd093384cf5ebb7c1bfed8049601b8b491ac251bf4ba3e0b5c181a475f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07076",
    "kind": "arxiv",
    "version": 1
  }
}