Pith Number

pith:4H2JWHZ3

pith:2022:4H2JWHZ34RQN5D25W64S6C4YXM

not attested not anchored not stored refs pending

Control-aware Learning of Koopman Embedding Models

Daisuke Uchida, Karthik Duraisamy

arxiv:2209.08637 v4 · 2022-09-18 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4H2JWHZ34RQN5D25W64S6C4YXM}

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	2026-07-05T05:53:33.744399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1f49b1f3be460de8f5db7b92f0b98bb229cd881315666b2474d9541f008c858

Aliases

arxiv: 2209.08637 · arxiv_version: 2209.08637v4 · doi: 10.48550/arxiv.2209.08637 · pith_short_12: 4H2JWHZ34RQN · pith_short_16: 4H2JWHZ34RQN5D25 · pith_short_8: 4H2JWHZ3

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/4H2JWHZ34RQN5D25W64S6C4YXM \
  | 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: e1f49b1f3be460de8f5db7b92f0b98bb229cd881315666b2474d9541f008c858

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e11871bbf5ad97e4a5805ad5a598eebaeba6806a1f28cfbfbf33f334208853db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-09-18T19:42:53Z",
    "title_canon_sha256": "bf9641f2a9b6d460fe29e73288764f1deabb0826fc212fcdae7ab81aa6bc9eaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.08637",
    "kind": "arxiv",
    "version": 4
  }
}