Pith Number

pith:4DLAU6DY

pith:2024:4DLAU6DYSY7YIGMXIUIOXPLLT3

not attested not anchored not stored refs pending

Some Remarks on Controllability of the Liouville Equation

Maxim Raginsky

arxiv:2404.14683 v3 · 2024-04-23 · 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{4DLAU6DYSY7YIGMXIUIOXPLLT3}

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

Constructive approximate transport maps with normalizing flows

Receipt and verification

First computed	2026-07-05T09:45:47.966635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0d60a7878963f8419974510ebbd6b9ec42b603d13477989ee69ee9d0a6272ec

Aliases

arxiv: 2404.14683 · arxiv_version: 2404.14683v3 · doi: 10.48550/arxiv.2404.14683 · pith_short_12: 4DLAU6DYSY7Y · pith_short_16: 4DLAU6DYSY7YIGMX · pith_short_8: 4DLAU6DY

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/4DLAU6DYSY7YIGMXIUIOXPLLT3 \
  | 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: e0d60a7878963f8419974510ebbd6b9ec42b603d13477989ee69ee9d0a6272ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72d02a2b5b9e6df7dda121bbc5703576e3ebbd0590467c441cc088916acb6ef6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-04-23T02:23:51Z",
    "title_canon_sha256": "cf63ec84044f7d809f3c9167659245628446bcebc8c969d0e23218bce28c16e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.14683",
    "kind": "arxiv",
    "version": 3
  }
}