Pith Number

pith:FKT36VLE

pith:2020:FKT36VLEUQF5AYTXBJWIQXZFFR

not attested not anchored not stored refs pending

On Numerical Approximations of the Koopman Operator

Igor Mezic

arxiv:2009.05883 v1 · 2020-09-13 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FKT36VLEUQF5AYTXBJWIQXZFFR}

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	2026-07-05T01:35:02.093362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aa7bf5564a40bd062770a6c885f252c584cfb63781b6b1b3208ee0a7267a92f

Aliases

arxiv: 2009.05883 · arxiv_version: 2009.05883v1 · doi: 10.48550/arxiv.2009.05883 · pith_short_12: FKT36VLEUQF5 · pith_short_16: FKT36VLEUQF5AYTX · pith_short_8: FKT36VLE

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/FKT36VLEUQF5AYTXBJWIQXZFFR \
  | 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: 2aa7bf5564a40bd062770a6c885f252c584cfb63781b6b1b3208ee0a7267a92f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c939f6ac1ce9e227f249a700c39a3191a73165e89b5a36b7daef5745fc2f3681",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-09-13T00:14:50Z",
    "title_canon_sha256": "2a2ff5dda5275a7cc60c03d99b2f61a841004460578704e83f1f9663f5344d92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.05883",
    "kind": "arxiv",
    "version": 1
  }
}