Pith Number

pith:ITNKX2XM

pith:2020:ITNKX2XM3OJ26MLQMO2WGCQSDT

not attested not anchored not stored refs pending

Advantages of Bilinear Koopman Realizations for the Modeling and Control of Systems with Unknown Dynamics

Daniel Bruder, Ram Vasudevan, Xun Fu

arxiv:2010.09961 v3 · 2020-10-20 · cs.RO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITNKX2XM3OJ26MLQMO2WGCQSDT}

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	2026-07-05T01:51:22.310392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44daabeaecdb93af317063b5630a121cc4c7edf7a25441c27ef7a47ccb8b6e84

Aliases

arxiv: 2010.09961 · arxiv_version: 2010.09961v3 · doi: 10.48550/arxiv.2010.09961 · pith_short_12: ITNKX2XM3OJ2 · pith_short_16: ITNKX2XM3OJ26MLQ · pith_short_8: ITNKX2XM

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/ITNKX2XM3OJ26MLQMO2WGCQSDT \
  | 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: 44daabeaecdb93af317063b5630a121cc4c7edf7a25441c27ef7a47ccb8b6e84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8928df31845169556be585ae775509b36e933803521f9ac6e3745a2e30fb8fc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.RO",
    "submitted_at": "2020-10-20T02:10:23Z",
    "title_canon_sha256": "dcfc9f2476d6835eb296ad5abe4903ba1290dd0c4f6e5735449f20a87f5c2e20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.09961",
    "kind": "arxiv",
    "version": 3
  }
}