Pith Number

pith:AYXBXHZZ

pith:2015:AYXBXHZZE5WEJBFSCHW7BTWR7C

not attested not anchored not stored refs pending

Koopman invariant subspaces and finite linear representations of nonlinear dynamical systems for control

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

arxiv:1510.03007 v2 · 2015-10-11 · 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{AYXBXHZZE5WEJBFSCHW7BTWR7C}

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

Data-Driven Dynamic Modeling of a Tendon-Actuated Continuum Robot

Receipt and verification

First computed	2026-05-18T01:16:17.652892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

062e1b9f39276c4484b211edf0ced1f8940511d940c06e137c758f6dd504d8b5

Aliases

arxiv: 1510.03007 · arxiv_version: 1510.03007v2 · doi: 10.48550/arxiv.1510.03007 · pith_short_12: AYXBXHZZE5WE · pith_short_16: AYXBXHZZE5WEJBFS · pith_short_8: AYXBXHZZ

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/AYXBXHZZE5WEJBFSCHW7BTWR7C \
  | 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: 062e1b9f39276c4484b211edf0ced1f8940511d940c06e137c758f6dd504d8b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d44eb74ccef3bfcfd83113fc83420193a9b5f9a40c5a945a862c6e9a7bbd415",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-11T03:56:57Z",
    "title_canon_sha256": "a241d7709a03f9fe1cf31797586fb56821152584cadf9065301a4d56328c40ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03007",
    "kind": "arxiv",
    "version": 2
  }
}